%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "5.56",
%%%     date            = "20 May 2013",
%%%     time            = "19:19:29 MDT",
%%%     filename        = "elefunt.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "http://www.math.utah.edu/~beebe",
%%%     checksum        = "50542 45177 187404 1934931",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "BibTeX; bibliography; convergence
%%%                        acceleration; elementary functions; sequence
%%%                        acceleration; special functions",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications about
%%%                        the computation of the elementary functions
%%%                        (square root, exponential, logarithm,
%%%                        trigonometric, inverse trigonometric,
%%%                        hyperbolic, inverse hyperbolic, ...), and
%%%                        some selected special functions (Bessel,
%%%                        elliptic integral, exponential integral,
%%%                        Gamma, log-Gamma, psi, ...), in computer
%%%                        programming languages.  Additional references
%%%                        to articles, books, and conference
%%%                        proceedings provide more mathematical
%%%                        background.
%%%
%%%                        At version 5.56, the year coverage looked
%%%                        like this:
%%%
%%%                             1925 (   1)    1955 (   5)    1985 (  34)
%%%                             1926 (   1)    1956 (   1)    1986 (  30)
%%%                             1927 (   0)    1957 (   8)    1987 (  34)
%%%                             1928 (   0)    1958 (   7)    1988 (  48)
%%%                             1929 (   0)    1959 (  12)    1989 (  85)
%%%                             1930 (   0)    1960 (  14)    1990 (  32)
%%%                             1931 (   0)    1961 (  19)    1991 (  47)
%%%                             1932 (   0)    1962 (  14)    1992 (  36)
%%%                             1933 (   0)    1963 (  29)    1993 (  42)
%%%                             1934 (   1)    1964 (  42)    1994 (  48)
%%%                             1935 (   0)    1965 (  33)    1995 (  40)
%%%                             1936 (   0)    1966 (  21)    1996 (  27)
%%%                             1937 (   2)    1967 (  26)    1997 (  34)
%%%                             1938 (   0)    1968 (  30)    1998 (  27)
%%%                             1939 (   0)    1969 (  34)    1999 (  48)
%%%                             1940 (   1)    1970 (  33)    2000 (  31)
%%%                             1941 (   1)    1971 (  29)    2001 (  30)
%%%                             1942 (   1)    1972 (  32)    2002 (  21)
%%%                             1943 (   1)    1973 (  28)    2003 (  25)
%%%                             1944 (   3)    1974 (  24)    2004 (  33)
%%%                             1945 (   2)    1975 (  26)    2005 (  24)
%%%                             1946 (   1)    1976 (  32)    2006 (  21)
%%%                             1947 (   0)    1977 (  35)    2007 (  25)
%%%                             1948 (   2)    1978 (  31)    2008 (  19)
%%%                             1949 (   2)    1979 (  31)    2009 (  27)
%%%                             1950 (   1)    1980 (  27)    2010 (  16)
%%%                             1951 (   3)    1981 (  40)    2011 (  30)
%%%                             1952 (   3)    1982 (  42)    2012 (  14)
%%%                             1953 (   1)    1983 (  36)    2013 (   9)
%%%                             1954 (   4)    1984 (  47)
%%%
%%%                             Article:       1260
%%%                             Book:           113
%%%                             InBook:           1
%%%                             InCollection:    47
%%%                             InProceedings:  161
%%%                             Manual:           1
%%%                             MastersThesis:    4
%%%                             Misc:            12
%%%                             Periodical:       1
%%%                             PhdThesis:       16
%%%                             Proceedings:     76
%%%                             TechReport:      61
%%%                             Unpublished:      3
%%%
%%%                             Total entries: 1756
%%%
%%%                        At version 4.00, this bibliography was
%%%                        significantly extended by merging in the 262
%%%                        entries from the bibliography given in entry
%%%                        Fullerton:1980:BEM.  That document was not
%%%                        available electronically on the Internet, and
%%%                        the original bib/refer bibliography data from
%%%                        which the report was derived may have been
%%%                        lost with the death of its author, so a
%%%                        printed copy of the report was scanned and
%%%                        converted to searchable text.  Its entries
%%%                        were then compared with the previous contents
%%%                        of this file, and the extensive collections
%%%                        in the TeX User Group and BibNet Project
%%%                        archives.  All of the publications that
%%%                        Fullerton covered are marked with a citedby
%%%                        keyword, and his notes are included in remark
%%%                        keyword values prefixed by his name.
%%%
%%%                        At version 5.00 of 1-Dec-2011, numerous
%%%                        references on hypergeometric functions and on
%%%                        convergence acceleration of sequences were
%%%                        added.  Particularly with special functions,
%%%                        many standard series expansions converge too
%%%                        slowly to be useful, but acceleration
%%%                        techniques can sometimes provide a dramatic
%%%                        improvement, making such sums numerically
%%%                        practical.  The new entries in that area all
%%%                        contain the phrase `convergence acceleration'
%%%                        in their keywords values.  See entry
%%%                        Willis:2012:AGH for a good recent survey of
%%%                        both areas.
%%%
%%%                        This bibliography has been collected from
%%%                        bibliographies in the author's personal
%%%                        files, from the OCLC WorldCat and
%%%                        Contents1st databases, from the American
%%%                        Mathematical Society MathSciNet database,
%%%                        from the ACM Computing Archive CD-ROM,
%%%                        and from the computer science bibliography
%%%                        collection on ftp.ira.uka.de in
%%%                        /pub/bibliography to which many people of
%%%                        have contributed.
%%%
%%%                        Numerous errors in the sources noted above
%%%                        have been corrected.  Spelling has been
%%%                        verified with the UNIX spell and GNU ispell
%%%                        programs using the exception dictionary
%%%                        stored in the companion file with extension
%%%                        .sok.
%%%
%%%                        BibTeX citation tags are uniformly chosen as
%%%                        name:year:abbrev, where name is the family
%%%                        name of the first author or editor, year is a
%%%                        4-digit number, and abbrev is a 3-letter
%%%                        condensation of important title
%%%                        words. Citation tags were automatically
%%%                        generated by software developed for the
%%%                        BibNet Project.
%%%
%%%                        This bibliography is sorted by year, and
%%%                        within each year, by author and title key,
%%%                        using ``bibsort -byyear''.  Cross-referenced
%%%                        proceedings entries appear at the end,
%%%                        because of a restriction in the current
%%%                        BibTeX.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

%%% A delimited macro \toenglish ... \endtoenglish is NECESSARY here.
%%% The more conventional undelimited form \toenglish{...} has braces
%%% that prevent BibTeX's downcasing operation, and the alternate form
%%% {\toenglish{...}} is considered a `special character' by BibTeX,
%%% and all of {...} gets downcased.  We avoid the name \english to
%%% prevent conflicts with language options in packages like Babel.
%%%
%%% To suppress output of English translations of non-English titles,
%%% use
%%%     "\def \toenglish #1\endtoenglish{\unskip}"
%%% instead.
%%%
%%% Alternative Cyrillic definitions are supplied in the event that
%%% cyracc.def is not loaded.

@Preamble{"\input bibnames.sty"
  # "\def \toenglish #1\endtoenglish{[{\em English:} #1\unskip]} "
  # "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
  # "\ifx \undefined \cyr \let \cyr = \relax \fi "
  # "\ifx \undefined \cdprime \def \cdprime{''} \fi "
  # "\ifx \undefined \mathrm \def \mathrm #1{{\rm #1}}\fi "
  # "\ifx \undefined \operatorname \def \operatorname #1{{\rm #1}} \fi"
  # "\ifx \undefined \TM \def \TM {${}^{\sc TM}$} \fi"
  # "\hyphenation{ Rich-ard }"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:

@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|http://www.math.utah.edu/~beebe/|"}

@String{ack-nj =  "Norbert Juffa,
                  2445 Mission College Blvd.,
                  Santa Clara, CA 95054,
                  USA,
                  e-mail: \path|norbert@@iit.com|"}

@String{ack-rfb = "Ronald F. Boisvert,
                  Applied and Computational Mathematics Division,
                  National Institute of Standards and Technology,
                  Gaithersburg, MD 20899, USA,
                  Tel: +1 301 975 3812,
                  e-mail: \path=boisvert@cam.nist.gov="}

%%% ====================================================================
%%% Institution abbreviations:

@String{inst-ANL                = "Argonne National Laboratory"}
@String{inst-ANL:adr            = "9700 South Cass Avenue, Argonne, IL
                                  60439-4801, USA"}

@String{inst-BERKELEY-CS        = "Department of Computer Science, University
                                  of California"}
@String{inst-BERKELEY-CS:adr    = "Berkeley, CA, USA"}

@String{inst-CPAM-UCB           = "Center for Pure and Applied Mathematics,
                                  University of California, Berkeley"}
@String{inst-CPAM-UCB:adr       = "Berkeley, CA, USA"}

@String{inst-IPTC               = "{Institut f{\"u}r Physikalische und
                                  Theoretische Chemie}"}
@String{inst-IPTC:adr           = "{Universit{\"a}t Regensburg, D-93040
                                  Regensburg}"}

@String{inst-LORIA-INRIA-LORRAINE = "LORIA/INRIA Lorraine"}

@String{inst-LORIA-INRIA-LORRAINE:adr = "B{\^a}timent A, Technop{\^o}le de
                                  Nancy-Brabois, 615 rue du jardin
                                  botanique, F-54602
                                  Villers-l{\`e}s-Nancy Cedex, France"}

@String{inst-MATH-NPS           = "Department of Mathematics, Naval Postgraduate
                                  School"}
@String{inst-MATH-NPS:adr       = "Monterey CA 93943, USA"}

@String{inst-PRINCETON          = "Princeton University"}
@String{inst-PRINCETON:adr      = "Princeton, NJ, USA"}

%%% ====================================================================
%%% Journal abbreviations:

@String{j-ACTA-INFO             = "Acta Informatica"}

@String{j-ACTA-MATH             = "Acta Mathematica"}

@String{j-ACTA-NUMERICA         = "Acta Numerica"}

@String{j-ADV-APPL-MATH         = "Advances in Applied Mathematics"}

@String{j-ADV-QUANTUM-CHEM      = "Advances in Quantum Chemistry"}

@String{j-AM-J-MATH             = "American Journal of Mathematics"}

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-AMER-STAT             = "The American Statistician"}

@String{j-ANN-MATH-ARTIF-INTELL = "Annals of Mathematics and Artificial
                                  Intelligence"}

@String{j-APPL-COMPUT-HARMON-ANAL = "Applied and Computational Harmonic
                                  Analysis. Time-Frequency and
                                  Time-Scale Analysis, Wavelets,
                                  Numerical Algorithms, and
                                  Applications"}

@String{j-APPL-MATH-COMP        = "Applied Mathematics and Computation"}

@String{j-APPL-MATH-LETT        = "Applied Mathematics Letters"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
                                  of IMACS"}

@String{j-APPL-OPTICS           = "Applied Optics"}

@String{j-APPL-STAT             = "Applied Statistics"}

@String{j-ARCH-HIST-EXACT-SCI   = "Archive for History of Exact Sciences"}

@String{j-AUSTRALIAN-J-PHYS     = "Australian Journal of Physics"}

@String{j-AUTOMATICA            = "Automatica: the journal of IFAC, the
                                  International Federation of Automatic
                                  Control"}

@String{j-BELL-SYST-TECH-J      = "The Bell System Technical Journal"}

@String{j-BIT                   = "BIT (Nordisk tidskrift for
                                  informationsbehandling)"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

@String{j-BRITISH-J-PHILOS-SCI  = "British Journal for the Philosophy of
                                  Science"}

@String{j-C-R-ACAD-BULGARE-SCI  = "Comptes rendus de l'Acad{\'e}mie bulgare
                                  des sciences"}

@String{j-CACM                  = "Communications of the ACM"}

@String{j-CALCOLO               = "Calcolo"}

@String{j-CAN-J-MATH            = "Canadian Journal of Mathematics =
                                   Journal canadien de
                                   math{\'e}matiques"}

@String{j-CAN-MATH-BULL         = "Bulletin canadien de
                                  math\-{\'e}\-mat\-iques = Canadian
                                  Mathematical Bulletin"}

@String{j-CCCUJ                 = "C/C++ Users Journal"}

@String{j-CELEST-MECH-DYN-ASTR  = "Celestial Mechanics and Dynamical Astronomy"}

@String{j-COLLEGE-MATH-J        = "College Mathematics Journal"}

@String{j-COMP-J                = "The Computer Journal"}

@String{j-COMP-MATH-APPL        = "Computers and Mathematics with Applications"}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMP-PHYSICS          = "Computers in Physics"}

@String{j-COMPUT-APPL-MATH      = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-COMPUT-MATH-MATH-PHYS = "Computational Mathematics and Mathematical
                                  Physics"}

@String{j-COMPUT-PHYS-REP       = "Computer Physics Reports"}

@String{j-COMPUT-SCI-ENG        = "Computing in Science and Engineering"}

@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}

@String{j-COMPUTER              = "Computer"}

@String{j-COMPUTING             = "Computing: Archiv fur informatik und
                                  numerik"}

@String{j-COMPUTING-SUPPLEMENTUM = "Computing. Supplementum"}

@String{j-CONST-APPROX          = "Constructive Approximation"}

@String{j-DDJ                   = "Dr. Dobb's Journal of Software Tools"}

@String{j-DESIGNS-CODES-CRYPTOGR = "Designs, Codes, and Cryptography"}

@String{j-EDN                   = "EDN"}

@String{j-ELECT-LETTERS         = "Electronics Letters"}

@String{j-ELECT-NOTES-THEOR-COMP-SCI = "Electronic Notes in Theoretical
                                  Computer Science"}

@String{j-ELECTRON-COMMUN-JPN   = "Electronics and communications in Japan"}

@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
                                Analysis (ETNA)"}

@String{j-ELECTRONIC-DESIGN     = "Electronic Design"}

@String{j-ELECTRONIK            = "Elektronik"}

@String{j-ELEKTRONIKER          = "Elektroniker (Switzerland)"}

@String{j-ELEK-RECHENANLAGEN    = "Elektronische Rechenanlagen"}

@String{j-EMBED-SYS-PROG        = "Embedded Systems Programming"}

@String{j-EXP-MATH              = "Experimental mathematics"}

@String{j-FIB-QUART             = "Fibonacci Quarterly"}

@String{j-FORM-METHODS-SYST-DES = "Formal Methods in System Design"}

@String{j-HEWLETT-PACKARD-J     = "Hew\-lett-Pack\-ard Journal: technical
                                  information from the laboratories of
                                  Hew\-lett-Pack\-ard Company"}

@String{j-IBM-JRD               = "IBM Journal of Research and Development"}

@String{j-IBM-SYS-J             = "IBM Systems Journal"}

@String{j-IBM-TDB               = "IBM Technical Disclosure Bulletin"}

@String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital Techniques"}

@String{j-IEEE-CGA              = "IEEE Computer Graphics and Applications"}

@String{j-IEEE-J-SOLID-STATE-CIRCUITS = "IEEE Journal of Solid-State Circuits"}

@String{j-IEEE-MICRO            = "IEEE Micro"}

@String{j-IEEE-SIGNAL-PROCESS-LETT = "IEEE Signal Processing Letters"}

@String{j-IEEE-TRANS-CIRCUITS-SYST-2 = "IEEE Transactions on Circuits and
                                  Systems. 2, Analog and Digital Signal
                                  Processing"}

@String{j-IEEE-TRANS-COMPUT     = "IEEE Transactions on Computers"}

@String{j-IEEE-TRANS-ELEC-COMPUT = "IEEE Transactions on Electronic Computers"}

@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}

@String{j-IEEE-TRANS-MICROWAVE-THEORY-TECH = "IEEE Transactions on Microwave
                                  Theory and Techniques"}

@String{j-IEEE-TRANS-SIG-PROC   = "IEEE Transactions on Signal Processing"}

@String{j-IEEE-TRANS-VLSI-SYST  = "IEEE Transactions on Very Large Scale
                                  Integration (VLSI) Systems"}

@String{j-IJQC                  = "International Journal of Quantum Chemistry"}

@String{j-IJSAHPC               = "The International Journal of Supercomputer
                                  Applications and High Performance Computing"}

@String{j-IMA-J-NUMER-ANAL      = "IMA Journal of Numerical Analysis"}

@String{j-INFO-PROC-LETT        = "Information Processing Letters"}

@String{j-INT-J-COMPUT-INF-SCI  = "International Journal of Computer and
                                  Information Sciences"}

@String{j-INT-J-COMPUT-MATH     = "International Journal of Computer
                                  Mathematics"}

@String{j-INT-J-HIGH-SPEED-COMPUTING = "International Journal of High Speed
                                  Computing"}

@String{j-INT-J-MATH-EDU-SCI-TECH = "International journal of mathematical
                                  education in science and technology"}

@String{j-INT-J-MATH-MATH-SCI   = "International Journal of Mathematics and
                                  Mathematical Sciences"}

@String{j-INTEGRATION-VLSI-J    = "Integration, the VLSI journal"}

@String{j-INTEL-TECH-J          = "Intel Technology Journal"}

@String{j-INTERNET-J-CHEM       = "Internet Journal of Chemistry"}

@String{j-INTERVAL-COMP         = "Interval Computations = Interval'nye
                                  vychisleniia"}

@String{j-IRE-TRANS-ELEC-COMPUT = "IRE Transactions on Electronic Computers"}

@String{j-J-ACM                 = "Journal of the Association for Computing
                                  Machinery"}

@String{j-J-ALG                 = "Journal of Algorithms"}

@String{j-J-AM-STAT-ASSOC       = "Journal of the American Statistical
                                  Association"}

@String{j-J-APPL-STAT           = "Journal of Applied Statistics"}

@String{j-J-APPROX-THEORY       = "Journal of Approximation Theory"}

@String{j-J-COMB-THEORY-A       = "Journal of Combinatorial Theory (Series A)"}

@String{j-J-COMP-APPL-MATH      = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-J-COMPLEXITY          = "Journal of complexity"}

@String{j-J-COMPUT-PHYS         = "Journal of Computational Physics"}

@String{j-J-GRAPHICS-GPU-GAME-TOOLS = "Journal of Graphics, GPU, and Game Tools"}

@String{j-J-HIGH-ENERGY-PHYS    = "Journal of High Energy Physics"}

@String{j-J-INST-MATH-APPL      = "Journal of the Institute of Mathematics and
                                  its Applications"}

@String{j-J-KOREA-INFO-SCI-SOCIETY = "Journal of the Korea Information Science
                                  Society = Chongbo Kwahakhoe nonmunji"}

@String{j-J-MATH-PHYS           = "Journal of Mathematical Physics"}

@String{j-J-MOL-STRUCT-THEOCHEM = "Journal of Molecular Structure. Theochem"}

@String{j-J-MULTIVAR-ANAL       = "Journal of Multivariate Analysis"}

@String{j-J-NUMER-METHODS-COMPUT-APPL = "Journal on Numerical Methods and
                                  Computer Applications"}

@String{j-J-PAR-DIST-COMP       = "Journal of Parallel and Distributed
                                  Computing"}

@String{j-J-PHYS-A              = "Journal of Physics A (Mathematical and General)"}

@String{j-J-STAT-COMPUT-SIMUL   = "Journal of Statistical Computation and
                                  Simulation"}

@String{j-J-STAT-SOFT           = "Journal of Statistical Software"}

@String{j-J-SUPERCOMPUTING      = "The Journal of Supercomputing"}

@String{j-J-SYMBOLIC-COMP       = "Journal of Symbolic Computation"}

@String{j-J-SYMBOLIC-LOGIC      = "Journal of Symbolic Logic"}

@String{j-J-UCS                 = "J.UCS: The Journal of Universal Computer Science"}

@String{j-J-VLSI-SIGNAL-PROC    = "Journal of VLSI Signal Processing"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-LIN-MULT-ALGEBRA      = "Linear and Multilinear Algebra"}

@String{j-LMS-J-COMPUT-MATH     = "LMS Journal of Computation and Mathematics"}

@String{j-LOGIN                 = ";login: the USENIX Association newsletter"}

@String{j-MATH-COMP-SIM         = "Mathematics and Computers in Simulation"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-MAG              = "Mathematics Magazine"}

@String{j-MATH-MODEL-NUM-ANA    = "Mathematical modelling and numerical
                                  analysis = Modelisation math{\'e}matique et
                                  analyse num{\'e}rique: $M^2AN$"}

@String{j-MATH-OP-RES           = "Mathematics of Operations Research"}

@String{j-MATH-PROG             = "Mathematical Programming"}

@String{j-MATH-TABLES-AIDS-COMPUT = "Mathematical Tables and Aids to
                                  Computation"}

@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
                                  to Computation"}

@String{j-MATHEMATICA-J         = "Mathematica Journal"}

@String{j-MICROPROC-MICROPROG   = "Microprocessing and Microprogramming"}

@String{j-MICROPROC-MICROSYS    = "Microprocessors and Microsystems"}

@String{j-NACH-ELEK             = "Nachrichtentechnik Elektronik"}

@String{j-NAMS                  = "Notices of the American Mathematical
                                  Society"}

@String{j-NEURAL-COMP           = "Neural Computation"}

@String{j-NEURAL-NETWORKS       = "Neural Networks"}

@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk tidskrift for
                                  informationsbehandling"}

@String{j-NOTRE-DAME-J-FORM-LOG = "Notre Dame Journal of Formal Logic"}

@String{j-NUM-MATH              = "Numerische Mathematik"}

@String{j-NUCL-INSTR-METH       = "Nuclear Instruments and Methods"}

@String{j-NUCL-PHYS-B-PROC-SUPPL = "Nuclear Physics B, Proceedings Supplements"}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-OPER-RES              = "Operations Research"}

@String{j-PAC-J-MATH            = "Pacific Journal of Mathematics"}

@String{j-PARALLEL-COMPUTING    = "Parallel Computing"}

@String{j-PHIL-MAGAZINE         = "Philosophical Magazine"}

@String{j-PHYS-REV-A            = "Physical Review A"}

@String{j-PHYS-TODAY            = "Physics Today"}

@String{j-PHYSICA-D             = "Physica D"}

@String{j-PROC-AM-MATH-SOC      = "Proceedings of the American Mathematical
                                  Society"}

@String{j-PROC-IEEE             = "Proceedings of the IEEE"}

@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
                                  Society of London. Series A, Mathematical
                                  and physical sciences"}

@String{j-PROG-COMP-SOFT        = "Programming and Computer Software;
                                  translation of Programmirovaniye (Moscow,
                                  USSR) Plenum"}

@String{j-PROGRAMMIROVANIE      = "Programmirovanie"}

@String{j-REV-MOD-PHYS          = "Reviews of Modern Physics"}

@String{j-RUSS-J-MATH-PHYS      = "Russian Journal of Mathematical Physics"}

@String{j-SIAM-J-APPL-MATH      = "SIAM Journal on Applied Mathematics"}

@String{j-SIAM-J-CONTROL-OPTIM  = "SIAM Journal on Control and Optimization"}

@String{j-SIAM-J-MAT-ANA-APPL   = "SIAM Journal on Matrix Analysis and
                                  Applications"}

@String{j-SIAM-J-MATH-ANA       = "SIAM journal on mathematical analysis"}

@String{j-SIAM-J-NUM-ANALYSIS-B = "Journal of the Society for Industrial and
                                  Applied Mathematics: Series B, Numerical
                                  Analysis"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIGADA-LETTERS        = "ACM SIGADA Ada Letters"}

@String{j-SIGCSE                = "SIGCSE Bulletin (ACM Special Interest Group
                                  on Computer Science Education)"}

@String{j-SIGNUM                = "ACM SIGNUM Newsletter"}

@String{j-SIGPLAN               = "ACM SIGPLAN Notices"}

@String{j-SIGSAM                = "SIGSAM Bulletin (ACM Special Interest Group
                                  on Symbolic and Algebraic Manipulation)"}

@String{j-SPE                   = "Soft\-ware\emdash Prac\-tice and Experience"}

@String{j-STAT-PROB-LETT        = "Statistics \& Probability Letters"}

@String{j-TECHNIQUE-SCI-INFORMATIQUES = "Technique et Science Informatiques"}

@String{j-THEOR-COMP-SCI        = "Theoretical Computer Science"}

@String{j-TOKYO-J-MATH          = "Tokyo journal of mathematics"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

@String{j-TRANS-AM-MATH-SOC     = "Transactions of the American Mathematical
                                  Society"}

@String{j-TRANS-INFO-PROCESSING-SOC-JAPAN = "Transactions of the Information
                                  Processing Society of Japan"}

@String{j-TRANS-SOC-COMP-SIM    = "Transactions of the Society for Computer
                                  Simulation"}

@String{j-USSR-COMP-MATH-MATH-PHYS = "U.S.S.R. Computational Mathematics and
                                  Mathematical Physics"}

@String{j-Z-ANAL-ANWEND         = "Zeitschrift f{\"u}r Analysis und ihre
                                  Anwendungen"}

@String{j-Z-MATH-LOGIK-GRUNDL-MATH = "Zeitschrift f{\"u}r mathematische
                                  Logik und Grundlagen der Mathematik"}

%%% ====================================================================
%%% Publishers and their addresses:

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AFIPS               = "AFIPS Press"}
@String{pub-AFIPS:adr           = "Montvale, NJ, USA"}

@String{pub-A-K-PETERS          = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr      = "Wellesley, MA, USA"}

@String{pub-AKADEMIE-VERLAG     = "Akademie-Verlag"}
@String{pub-AKADEMIE-VERLAG:adr = "Berlin, Germany"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-BALTZER             = "J. C. Baltzer AG, Scientific
                                  Publishing Company"}
@String{pub-BALTZER:adr         = "Basel, Switzerland"}

@String{pub-BENJAMIN            = "W. A. {Benjamin, Inc.}"}
@String{pub-BENJAMIN:adr        = "New York, NY, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr      = "Cambridge, MA, USA; Berlin, Germany; Basel,
                                  Switzerland"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CHAPMAN-HALL        = "Chapman and Hall, Ltd."}
@String{pub-CHAPMAN-HALL:adr    = "London, UK"}

@String{pub-CHAPMAN-HALL-CRC    = "Chapman and Hall/CRC"}
@String{pub-CHAPMAN-HALL-CRC:adr = "Boca Raton, FL, USA"}

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "Oxford, UK"}

@String{pub-CRC                 = "CRC Press"}
@String{pub-CRC:adr             = "2000 N.W. Corporate Blvd., Boca Raton,
                                  FL 33431-9868, USA"}

@String{pub-DOVER               = "Dover"}
@String{pub-DOVER:adr           = "New York, NY, USA"}

@String{pub-ELLIS-HORWOOD       = "Ellis Horwood"}
@String{pub-ELLIS-HORWOOD:adr   = "New York, NY, USA"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-ELSEVIER-ACADEMIC   = "Elsevier Academic Press"}
@String{pub-ELSEVIER-ACADEMIC:adr = "Amsterdam, The Netherlands"}

@String{pub-ENH                 = "Elsevier North-Holland, Inc."}
@String{pub-ENH:adr             = "New York, NY, USA"}

@String{pub-ERLBAUM             = "Lawrence Erlbaum Associates, Inc."}
@String{pub-ERLBAUM:adr         = "Hillsdale, NJ, USA"}

@String{pub-HRW                 = "Holt, Rinehart, and Winston"}
@String{pub-HRW:adr             = "New York, NY, USA"}

@String{pub-IBM                 = "IBM Corporation"}
@String{pub-IBM:adr             = "San Jose, CA, USA"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300, Silver
                                   Spring, MD 20910, USA"}

@String{pub-INTEL               = "Intel Corporation"}
@String{pub-INTEL:adr           = "Santa Clara, CA, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr          = "Dordrecht, The Netherlands"}

@String{pub-MCGRAW-HILL         = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr     = "New York, NY, USA"}

@String{pub-MIT                 = "MIT Press"}
@String{pub-MIT:adr             = "Cambridge, MA, USA"}

@String{pub-NIST                = "National Institute for Standards and Technology"}
@String{pub-NIST:adr            = "Gaithersburg, MD, USA"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-PERGAMON            = "Pergamon Press"}
@String{pub-PERGAMON:adr        = "New York, NY, USA"}

@String{pub-PRINCETON           = "Princeton University Press"}
@String{pub-PRINCETON:adr       = "Princeton, NJ, USA"}

@String{pub-PH                  = "Pren{\-}tice-Hall"}
@String{pub-PH:adr              = "Englewood Cliffs, NJ 07632, USA"}

@String{pub-REK                 = "Robert E. Krieger Publishing Company"}
@String{pub-REK:adr             = "Huntington, NY, USA"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SPIE                = "Society of Photo-optical
                                  Instrumentation Engineers (SPIE)"}
@String{pub-SPIE:adr            = "Bellingham, WA, USA"}

@String{pub-SPRINGER-WIEN       = "Spring{\-}er"}
@String{pub-SPRINGER-WIEN:adr   = "Wien / New York"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-TAYLOR-FRANCIS      = "Taylor and Francis"}
@String{pub-TAYLOR-FRANCIS:adr  = "Boca Raton, FL, USA"}

@String{pub-TEUBNER             = "Teubner"}
@String{pub-TEUBNER:adr         = "Stuttgart, Leipzig"}

@String{pub-USENIX              = "USENIX"}
@String{pub-USENIX:adr          = "San Francisco, CA, USA"}

@String{pub-VIEWEG              = "Friedrich Vieweg und Sohn"}
@String{pub-VIEWEG:adr          = "Braunschweig, Germany"}

@String{pub-WCB                 = "William C. Brown Company Publishers"}
@String{pub-WCB:adr             = "Dubuque, IA, USA"}

@String{pub-WILEY               = "Wiley"}
@String{pub-WILEY:adr           = "New York, NY, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-LNCS                = "Lecture Notes in Computer Science"}

%%% ====================================================================
%%% Bibliography entries, sorted by year and citation label:

@Article{Ritt:1925:EFT,
  author =       "J. F. Ritt",
  title =        "Elementary functions and their inverses",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "27",
  number =       "1",
  pages =        "68--90",
  year =         "1925",
  CODEN =        "TAMTAM",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  MRclass =      "30A05 (33B10)",
  MRnumber =     "MR1501299",
  bibdate =      "Wed Apr 13 06:46:35 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Transactions of the American Mathematical Society",
}

@Article{Dederick:1926:QDDc,
  author =       "L. S. Dederick",
  title =        "Questions and Discussions: Discussions: {A} Modified
                 Method for Cube Roots and Fifth Roots",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "33",
  number =       "9",
  pages =        "469--472",
  month =        nov,
  year =         "1926",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:12 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Kalbfell:1934:QDN,
  author =       "D. C. Kalbfell",
  title =        "Questions, Discussions and Notes: On a Method for
                 Calculating Square Roots",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "41",
  number =       "8",
  pages =        "504--506",
  month =        oct,
  year =         "1934",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:37:31 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb,
}

@Article{Airey:1937:CFA,
  author =       "J. R. Airey",
  title =        "The ``converging factor'' in asymptotic series and the
                 calculation of {Bessel}, {Laguerre} and other
                 functions",
  journal =      j-PHIL-MAGAZINE,
  volume =       "24",
  number =       "??",
  pages =        "521--552",
  month =        "????",
  year =         "1937",
  CODEN =        "PHMAA4",
  ISSN =         "0031-8086",
  bibdate =      "Thu Dec 01 14:26:37 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Magazine",
}

@Article{Escott:1937:QDN,
  author =       "E. B. Escott",
  title =        "Questions, Discussions, and Notes: Rapid Method for
                 Extracting a Square Root",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "44",
  number =       "10",
  pages =        "644--646",
  month =        dec,
  year =         "1937",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:44 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb,
}

@Book{Emde:1940:TEF,
  author =       "Fritz Emde",
  title =        "{Tafeln Elementarer Funktionen} ({German}) [Tables of
                 Elementary Functions]",
  publisher =    "B. T. Teubner",
  address =      "Leipzig, Germany and Berlin, Germany",
  pages =        "xii + 181",
  year =         "1940",
  LCCN =         "QA47 .E5",
  bibdate =      "Fri Jun 11 12:34:09 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://lccn.loc.gov/45006177",
  acknowledgement = ack-nhfb,
  author-dates = "1873--1951",
}

@Article{Stoner:1941:FEF,
  author =       "Paul Matthew Stoner",
  title =        "Fitting the Exponential Function and the {Gompertz}
                 Function by the Method of Least Squares",
  journal =      j-J-AM-STAT-ASSOC,
  volume =       "36",
  number =       "216",
  pages =        "515--518",
  month =        dec,
  year =         "1941",
  CODEN =        "JSTNAL",
  ISSN =         "0162-1459 (print), 1537-274X (electronic)",
  ISSN-L =       "0162-1459",
  bibdate =      "Wed Jan 25 08:05:24 MST 2012",
  bibsource =    "http://www.jstor.org/journals/01621459.html;
                 http://www.jstor.org/stable/i314095;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jamstatassoc1940.bib",
  URL =          "http://www.jstor.org/stable/2278959",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the American Statistical Association",
}

@Article{Lancaster:1942:MME,
  author =       "Otis E. Lancaster",
  title =        "Machine Method for the Extraction of Cube Root",
  journal =      j-J-AM-STAT-ASSOC,
  volume =       "37",
  number =       "217",
  pages =        "112--115",
  month =        mar,
  year =         "1942",
  CODEN =        "JSTNAL",
  ISSN =         "0162-1459 (print), 1537-274X (electronic)",
  ISSN-L =       "0162-1459",
  bibdate =      "Wed Jan 25 08:05:24 MST 2012",
  bibsource =    "http://www.jstor.org/journals/01621459.html;
                 http://www.jstor.org/stable/i314096;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jamstatassoc1940.bib",
  URL =          "http://www.jstor.org/stable/2279437",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the American Statistical Association",
}

@Article{RCA:1943:TTF,
  author =       "{R. C. A.}",
  title =        "Tables of Trigonometric Functions in Non-Sexagesimal
                 Arguments",
  journal =      j-MATH-TABLES-AIDS-COMPUT,
  volume =       "1",
  number =       "2",
  pages =        "33--44",
  month =        apr,
  year =         "1943",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:44:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  note =         "Original journal has only `R. C. A.' as author:
                 possibly R. C. Archibald.",
  acknowledgement = ack-nhfb,
}

@Article{Bateman:1944:GTB,
  author =       "Harry Bateman and Raymond Clare Archibald",
  title =        "A Guide to Tables of {Bessel} Functions",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "1",
  number =       "7",
  pages =        "205--308",
  month =        jul,
  year =         "1944",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  MRnumber =     "6,132b",
  MRreviewer =   "G. Szeg{\"o}",
  bibdate =      "Tue Oct 13 08:44:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{DHL:1944:NCB,
  author =       "{D. H. L.}",
  title =        "Note on the Computation of the {Bessel} Function
                 ${I}_n({X})$",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "1",
  number =       "5",
  pages =        "133--135",
  month =        apr,
  year =         "1944",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:44:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  note =         "Original journal has only `D. H. L.' as author:
                 probably D. H. Lehmer.",
  acknowledgement = ack-nhfb,
}

@Book{Lewis:1944:SCH,
  author =       "Charles J. Lewis",
  title =        "A survey of the confluent hypergeometric function",
  publisher =    "????",
  address =      "Washington, DC, USA",
  pages =        "155",
  year =         "1944",
  LCCN =         "QA351 .L53",
  bibdate =      "Sat Oct 30 21:06:31 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Hypergeometric functions",
}

@Article{Abramowitz:1945:ZCB,
  author =       "Milton Abramowitz",
  title =        "Zeros of certain {Bessel} functions of fractional
                 order",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "1",
  number =       "9",
  pages =        "353--354",
  month =        jan,
  year =         "1945",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  MRclass =      "65.0X",
  MRnumber =     "6,132c",
  bibdate =      "Tue Oct 13 08:44:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Book{Emde:1945:TEF,
  author =       "Fritz Emde",
  title =        "{Tafeln Elementarer Funktionen} ({German}) [Tables of
                 Elementary Functions]",
  publisher =    "Edwards Bros.",
  address =      "Ann Arbor, MI, USA",
  pages =        "xii + 181",
  year =         "1945",
  LCCN =         "????",
  bibdate =      "Fri Jun 11 12:34:09 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Original edition published in 1940.",
  acknowledgement = ack-nhfb,
}

@Article{Anonymous:1946:MZC,
  author =       "Anonymous",
  title =        "More Zeros of Certain {Bessel} Functions of Fractional
                 Order",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "2",
  number =       "15",
  pages =        "118--119",
  month =        jul,
  year =         "1946",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:44:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Book{Emde:1948:TEF,
  author =       "Fritz Emde",
  title =        "{Tafeln Elementarer Funktionen} ({German}) [Tables of
                 Elementary Functions]",
  publisher =    pub-TEUBNER,
  address =      pub-TEUBNER:adr,
  edition =      "Second",
  pages =        "xii + 181",
  year =         "1948",
  LCCN =         "QA55 .E5 1948",
  MRclass =      "65.0X",
  MRnumber =     "11,263k",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Tukey:1948:NSR,
  author =       "John W. Tukey",
  title =        "A note on the square-root iteration",
  type =         "SRG Memorandum report",
  number =       "10",
  institution =  inst-PRINCETON,
  address =      inst-PRINCETON:adr,
  pages =        "18",
  year =         "1948",
  bibdate =      "Tue May 15 08:00:09 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Book{Magnus:1949:FTS,
  author =       "Wilhelm Magnus and Fritz Oberhettinger",
  title =        "Formulas and theorems for the special functions of
                 mathematical physics",
  publisher =    "Chelsea Pub. Co.",
  address =      "New York, NY, USA",
  pages =        "172",
  year =         "1949",
  LCCN =         "QA41 M19e",
  bibdate =      "Sat Oct 30 18:44:51 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Translated from the German by John Wermer.",
  acknowledgement = ack-nhfb,
}

@Book{USNBSCL:1949:TCH,
  author =       "{United States National Bureau of Standards
                 Computation Laboratory }",
  title =        "Tables of the confluent hypergeometric function
                 {$F(n/2, 1/2, x)$ and related functions}",
  volume =       "3",
  publisher =    "US Government Printing Office",
  address =      "Washington, DC, USA",
  pages =        "xxii + 73",
  year =         "1949",
  LCCN =         "QA3 .U5 no. 3",
  bibdate =      "Sat Oct 30 21:06:31 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Applied mathematics series",
  URL =          "http://openlibrary.org/works/OL1218358W/Tables_of_the_confluent_hypergeometric_function_F%28n_2_1_2_x%29_and_related_functions",
  acknowledgement = ack-nhfb,
  subject =      "Hypergeometric functions; Mathematics; Tables",
}

@Article{Norlund:1950:HF,
  author =       "Niels Erik N{\o}rlund",
  title =        "Hypergeometric functions",
  journal =      "Mat. Tidsskr. B.",
  volume =       "1950",
  number =       "??",
  pages =        "18--21",
  year =         "1950",
  MRclass =      "33.0X",
  MRnumber =     "MR0045259 (13,554e)",
  bibdate =      "Thu Dec 01 12:41:44 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  language =     "Danish",
}

@Article{Fogel:1951:FTE,
  author =       "{\`E}. K. Fogel'",
  title =        "A finite theory of elementary functions. {I}.
                 {Logarithmic} and exponential functions. ({Russian})",
  journal =      "Latvijas PSR Zin\=at{\c{n}}u Akad. V\=estis",
  volume =       "5",
  number =       "46",
  pages =        "801--813",
  year =         "1951",
  MRclass =      "33.0X",
  MRnumber =     "15,218b",
  MRreviewer =   "H. N. Shapiro",
  bibdate =      "Sat Apr 25 13:05:19 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Salzer:1951:FCE,
  author =       "H. E. Salzer",
  title =        "Formulas for Calculating the Error Function of a
                 Complex Variable",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "5",
  number =       "34",
  pages =        "67--70",
  month =        apr,
  year =         "1951",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Salzer:1951:RTT,
  author =       "H. E. Salzer",
  title =        "Radix Table for Trigonometric Functions and their
                 Inverses to High Accuracy",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "5",
  number =       "33",
  pages =        "9--11",
  month =        jan,
  year =         "1951",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@InBook{Goncarov:1952:EFC,
  author =       "V. L. Gon{\v{c}}arov",
  booktitle =    "Encyclopaedia of elementary mathematics. {Book III}.
                 {Functions} and limits (the foundations of analysis)",
  title =        "Elementary functions of a complex variable",
  publisher =    "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
  address =      "Moscow-Leningrad, USSR",
  pages =        "491--552",
  year =         "1952",
  MRclass =      "30.0X",
  MRnumber =     "14,1073c",
  MRreviewer =   "R. P. Boas, Jr.",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Goncarov:1952:EFR,
  author =       "V. L. Gon{\v{c}}arov",
  booktitle =    "Encyclopaedia of elementary mathematics. {Book III}.
                 {Functions} and limits (the foundations of analysis)",
  title =        "Elementary functions of a real variable. Limits of
                 sequences and functions. {The} general concept of a
                 function",
  publisher =    "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
  address =      "Moscow-Leningrad, USSR",
  pages =        "9--296",
  year =         "1952",
  MRclass =      "27.2X",
  MRnumber =     "14,1070d",
  MRreviewer =   "R. P. Boas, Jr.",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Kuipers:1952:PSE,
  author =       "L. Kuipers",
  title =        "Properties of some elementary functions",
  journal =      "Nederl. Akad. Wetensch. Proc. Ser. A. = Indagationes
                 Math.",
  volume =       "55",
  number =       "14",
  pages =        "388--393",
  year =         "1952",
  MRclass =      "27.0X",
  MRnumber =     "14,360e",
  MRreviewer =   "E. Frank",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Scherberg:1953:ACP,
  author =       "Max G. Scherberg and John F. Riordan",
  title =        "Analogue Calculation of Polynomial and Trigonometric
                 Expansions (in {Other Aids to Computation})",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "7",
  number =       "41",
  pages =        "61--65",
  month =        jan,
  year =         "1953",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Atta:1954:CGH,
  author =       "Susie E. Atta and Ward C. Sangren",
  title =        "Calculation of Generalized Hypergeometric Series",
  journal =      j-J-ACM,
  volume =       "1",
  number =       "4",
  pages =        "170--172",
  month =        oct,
  year =         "1954",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  bibdate =      "Tue Nov 08 21:50:00 1994",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jacm.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Association for Computing Machinery",
}

@Article{Cahill:1954:PCH,
  author =       "W. F. Cahill",
  title =        "Programs for Computing the Hypergeometric Series (in
                 Automatic Computing Machinery; Discussions)",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "8",
  number =       "45",
  pages =        "36--37",
  month =        jan,
  year =         "1954",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
}

@Article{Clenshaw:1954:PAE,
  author =       "C. W. Clenshaw",
  title =        "Polynomial approximations to elementary functions",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "8",
  pages =        "143--147",
  year =         "1954",
  ISSN =         "0891-6837",
  MRclass =      "41.1X",
  MRnumber =     "16,128f",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{LaFara:1954:MCI,
  author =       "Robert L. LaFara",
  title =        "A Method for Calculating Inverse Trigonometric
                 Functions",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "8",
  number =       "47",
  pages =        "132--139",
  month =        jul,
  year =         "1954",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Froberg:1955:NTC,
  author =       "Carl-Erik Fr{\"o}berg",
  title =        "Numerical Treatment of {Coulomb} Wave Functions",
  journal =      j-REV-MOD-PHYS,
  volume =       "27",
  number =       "4",
  pages =        "399--411",
  month =        oct,
  year =         "1955",
  CODEN =        "RMPHAT",
  DOI =          "http://dx.doi.org/10.1103/RevModPhys.27.399",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  bibdate =      "Tue May 22 16:36:44 MDT 2012",
  bibsource =    "http://rmp.aps.org/toc/RMP/v27/i4;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/revmodphys1950.bib",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.27.399;
                 http://rmp.aps.org/abstract/RMP/v27/i4/p399_1",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
}

@Book{Hastings:1955:ADC,
  author =       "Cecil {Hastings, Jr.}",
  title =        "Approximations for digital computers",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "viii + 201",
  year =         "1955",
  ISBN =         "0-691-07914-5",
  ISBN-13 =      "978-0-691-07914-1",
  LCCN =         "QA76 .H37",
  bibdate =      "Mon Oct 01 15:59:48 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Assisted by Jeanne T. Hayward and James P. Wong, Jr.",
  series =       "The Rand series",
  acknowledgement = ack-nhfb,
  remark =       "Reprinted 1957, 1959, 1962, 1966, and 1970. I have
                 fourth printing (1962).",
  subject =      "Electronic digital computers; Numerical analysis",
}

@Article{Norlund:1955:HF,
  author =       "Niels Erik N{\o}rlund",
  title =        "Hypergeometric functions",
  journal =      j-ACTA-MATH,
  volume =       "94",
  number =       "??",
  pages =        "289--349",
  month =        "????",
  year =         "1955",
  CODEN =        "ACMAA8",
  DOI =          "http://dx.doi.org/10.1007/BF02392494",
  ISSN =         "0001-5962 (print), 1871-2509 (electronic)",
  ISSN-L =       "0001-5962",
  MRclass =      "33.0X",
  MRnumber =     "MR0074585 (17,610d)",
  bibdate =      "Thu Dec 01 10:09:47 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Mathematica",
}

@Article{Preston:1955:ACS,
  author =       "F. S. Preston",
  title =        "An Analog Computer for the Solution of Tangents",
  journal =      j-IRE-TRANS-ELEC-COMPUT,
  volume =       "EC-4",
  number =       "3",
  pages =        "101--106",
  month =        "????",
  year =         "1955",
  CODEN =        "IRELAO",
  DOI =          "http://dx.doi.org/10.1109/IRETELC.1955.507908",
  ISSN =         "0367-9950",
  bibdate =      "Thu Jun 30 15:10:37 MDT 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5407908",
  acknowledgement = ack-nhfb,
  fjournal =     "IRE Transactions on Electronic Computers",
}

@Article{Robinson:1955:EAC,
  author =       "A. S. Robinson",
  title =        "An Electronic Analog Computing Technique for the
                 Solution of Trigonometric Problems",
  journal =      j-IRE-TRANS-ELEC-COMPUT,
  volume =       "EC-4",
  number =       "3",
  pages =        "95--101",
  month =        "????",
  year =         "1955",
  CODEN =        "IRELAO",
  DOI =          "http://dx.doi.org/10.1109/IRETELC.1955.5407907",
  ISSN =         "0367-9950",
  bibdate =      "Thu Jun 30 15:10:37 MDT 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5407907",
  acknowledgement = ack-nhfb,
  fjournal =     "IRE Transactions on Electronic Computers",
}

@Book{Sneddon:1956:SFM,
  author =       "Ian Naismith Sneddon",
  title =        "Special functions of mathematical physics and
                 chemistry",
  volume =       "19",
  publisher =    "Oliver and Boyd,",
  address =      "Edinburgh, UK",
  edition =      "Third",
  pages =        "viii + 164",
  year =         "1956",
  LCCN =         "QA1 U588 v. 19",
  bibdate =      "Sat Oct 30 18:41:48 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "University mathematical texts",
  acknowledgement = ack-nhfb,
  remark =       "See second edition \cite{Sneddon:1961:SFM} and third
                 edition \cite{Sneddon:1980:SFM}.",
  subject =      "Functions, Special",
}

@Article{Hitchcock:1957:PAB,
  author =       "A. J. M. Hitchcock",
  title =        "Polynomial Approximations to {Bessel} Functions of
                 Order Zero and One and to Related Functions",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "11",
  number =       "58",
  pages =        "86--88",
  month =        apr,
  year =         "1957",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Mon Feb 27 08:05:17 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2002156",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
}

@Article{Kogbetliantz:1957:CEN,
  author =       "E. G. Kogbetliantz",
  title =        "Computation of $e^{N}$ for $-\infty < {N} < +\infty$
                 Using an Electronic Computer",
  journal =      j-IBM-JRD,
  volume =       "1",
  number =       "2",
  pages =        "110--115",
  month =        apr,
  year =         "1957",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  MRclass =      "68.0X",
  MRnumber =     "19,775d",
  bibdate =      "Tue Sep 06 20:55:54 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  reviewer =     "W. F. Freiberger",
}

@Article{Linskii:1957:CEF,
  author =       "V. S. Linski{\u{\i}}",
  title =        "Calculation of elementary functions on automatic
                 digital machines. ({Russian})",
  journal =      "Vy{\v{c}}isl. Mat.",
  volume =       "2",
  pages =        "90--119",
  year =         "1957",
  MRclass =      "68.00",
  MRnumber =     "21 \#982",
  MRreviewer =   "J. W. Carr, III",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Luke:1957:C,
  author =       "Yudell L. Luke",
  title =        "On the Computation of $\log {Z}$ and
                 $\operatorname{arc} \tan {Z}$",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "11",
  number =       "57",
  pages =        "16--18",
  month =        jan,
  year =         "1957",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Miller:1957:NGS,
  author =       "J. C. P. Miller",
  title =        "Note on the General Solution of the Confluent
                 Hypergeometric Equation",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "11",
  number =       "58",
  pages =        "97--99",
  month =        apr,
  year =         "1957",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Mon Feb 27 08:05:17 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2002156",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
}

@Article{Southard:1957:ATW,
  author =       "Thomas H. Southard",
  title =        "Approximation and Table of the {Weierstrass} $\wp$
                 Function in the Equianharmonic Case for Real Argument",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "11",
  number =       "58",
  pages =        "99--100",
  month =        apr,
  year =         "1957",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Mon Feb 27 08:05:17 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2002156",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
}

@Article{Stegun:1957:GBF,
  author =       "Irene A. Stegun and Milton Abramowitz",
  title =        "Generation of {Bessel} Functions on High Speed
                 Computers",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "11",
  number =       "60",
  pages =        "255--257",
  month =        oct,
  year =         "1957",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{T:1957:CHS,
  author =       "C. B. T.",
  title =        "Comment: {T. H. Southard, \booktitle{Approximation and
                 table of the Weierstrass $\wp$ function in the
                 equianharmonic case for real argument}. [MTAC, this
                 issue, p. 99--100]}",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "11",
  number =       "58",
  pages =        "110--110",
  month =        apr,
  year =         "1957",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Mon Feb 27 08:05:17 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2002157",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
}

@Article{Beattie:1958:TFZ,
  author =       "Curtis L. Beattie",
  title =        "Table of First 700 Zeros of {Bessel} Functions ---
                 {$J_l(x)$} and {$J^{\prime}_l(x)$}",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "37",
  number =       "3",
  pages =        "689--697",
  month =        may,
  year =         "1958",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  MRclass =      "65.00",
  MRnumber =     "0093928 (20 \#448)",
  MRreviewer =   "J. C. P. Miller",
  bibdate =      "Tue Nov 9 11:15:54 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1958/BSTJ.1958.3703.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol37/bstj37-3-689.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Book{Bowman:1958:IBF,
  author =       "Frank Bowman",
  title =        "Introduction to {Bessel} functions",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "x + 135",
  year =         "1958",
  LCCN =         "QA408 .B68i 1958",
  bibdate =      "Sat Jan 15 17:24:26 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  remark =       "An unabridged and unaltered republication of the first
                 edition.",
  subject =      "Bessel functions",
}

@Article{Dingle:1958:AEC,
  author =       "R. B. Dingle",
  title =        "Asymptotic Expansions and Converging Factors. {III}.
                 Gamma, Psi and Polygamma Functions, and {Fermi--Dirac}
                 and {Bose--Einstein} Integrals",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "244",
  number =       "1239",
  pages =        "484--490",
  day =          "22",
  month =        apr,
  year =         "1958",
  CODEN =        "PRLAAZ",
  ISSN =         "0080-4630",
  bibdate =      "Mon Jun 18 07:22:24 MDT 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/100264",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
}

@Article{Goldstein:1958:BFL,
  author =       "M. Goldstein and R. M. Thaler",
  title =        "{Bessel} Functions for Large Arguments",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "12",
  number =       "61",
  pages =        "18--26",
  month =        jan,
  year =         "1958",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Kogbetliantz:1958:CANa,
  author =       "E. G. Kogbetliantz",
  title =        "Computation of Arctan {N} for $-\infty < {N} <
                 +\infty$ Using an Electronic Computer",
  journal =      j-IBM-JRD,
  volume =       "2",
  number =       "1",
  pages =        "43--53",
  month =        jan,
  year =         "1958",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  MRclass =      "65.3X",
  MRnumber =     "19,982e",
  bibdate =      "Wed Aug 31 13:40:00 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  reviewer =     "C. B. Haselgrove",
}

@Article{Kogbetliantz:1958:CANb,
  author =       "E. G. Kogbetliantz",
  title =        "Computation of Arcsin {N} for $0<{N}<1$ Using an
                 Electronic Computer",
  journal =      j-IBM-JRD,
  volume =       "2",
  number =       "3",
  pages =        "218--222",
  month =        jul,
  year =         "1958",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  MRclass =      "65.3X",
  MRnumber =     "19,1197c",
  bibdate =      "Wed Aug 31 13:41:37 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  reviewer =     "C. B. Haselgrove",
}

@Article{Wadey:1958:TSR,
  author =       "W. G. Wadey",
  title =        "Two Square-Root Approximations",
  journal =      j-CACM,
  volume =       "1",
  number =       "11",
  pages =        "13--14",
  month =        nov,
  year =         "1958",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Wed Jul 14 15:48:22 MDT 2004",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Wadey58;
                 http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  oldlabel =     "Wadey58",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Wadey58",
}

@Article{Davis:1959:LEI,
  author =       "P. J. Davis",
  title =        "{Leonhard Euler}'s integral: {A} historical profile of
                 the gamma function: In Memoriam: {Milton Abramowitz}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "66",
  number =       "10",
  pages =        "849--869",
  month =        dec,
  year =         "1959",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "00 (33.00)",
  MRnumber =     "MR0106810 (21 #5540)",
  bibdate =      "Mon Nov 24 20:57:26 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{DiDonato:1959:NFC,
  author =       "A. R. DiDonato and A. V. Hershey",
  title =        "New Formulas for Computing Incomplete Elliptic
                 Integrals of the First and Second Kind",
  journal =      j-J-ACM,
  volume =       "6",
  number =       "4",
  pages =        "515--526",
  month =        oct,
  year =         "1959",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  bibdate =      "Mon Dec 05 20:10:59 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Book{Emde:1959:TEF,
  author =       "Fritz Emde",
  title =        "{Tafeln Elementarer Funktionen} ({German}) [Tables of
                 Elementary Functions]",
  publisher =    "B. T. Teubner",
  address =      "Leipzig, Germany and Berlin, Germany",
  edition =      "Third",
  pages =        "xii + 181",
  year =         "1959",
  LCCN =         "QA47 .E5",
  bibdate =      "Fri Jun 11 12:34:09 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://lccn.loc.gov/61020314",
  acknowledgement = ack-nhfb,
  author-dates = "1873--1951",
}

@Article{Goldstein:1959:RTC,
  author =       "M. Goldstein and R. M. Thaler",
  title =        "Recurrence Techniques for the Calculation of {Bessel}
                 Functions",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "13",
  number =       "66",
  pages =        "102--108",
  month =        apr,
  year =         "1959",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Kogbetliantz:1959:CSC,
  author =       "E. G. Kogbetliantz",
  title =        "Computation of $\sin{N}$, $\cos{N}$, and ${M}$th Root
                 of ${N}$ Using an Electronic Computer",
  journal =      j-IBM-JRD,
  volume =       "3",
  number =       "2",
  pages =        "147--152",
  month =        apr,
  year =         "1959",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  MRclass =      "65.00",
  MRnumber =     "21 \#964",
  bibdate =      "Thu Sep 1 10:15:56 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  reviewer =     "B. A. Chartres",
}

@Article{Longman:1959:STT,
  author =       "I. M. Longman",
  title =        "A Short Table of $\int^\infty_x {J}_0(t)t^{-n} dt$ and
                 $\int^\infty_x {J}_1(t) t^{-n} dt$ (in {Technical Notes
                 and Short Papers})",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "13",
  number =       "68",
  pages =        "306--311",
  month =        oct,
  year =         "1959",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 6-digit values for $n = 1, 2, \ldots{}, 22$
                 and for $x = 1, 2, \ldots{}, 10$.",
}

@Article{Luke:1959:ECH,
  author =       "Yudell L. Luke",
  title =        "Expansion of the Confluent Hypergeometric Function in
                 Series of {Bessel} Functions",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "13",
  number =       "68",
  pages =        "261--271",
  month =        oct,
  year =         "1959",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Tables and Other Aids to Computation",
}

@Article{Sarafyan:1959:NMC,
  author =       "Diran Sarafyan",
  title =        "A New Method of Computation of Square Roots Without
                 Using Division",
  journal =      j-CACM,
  volume =       "2",
  number =       "11",
  pages =        "23--24",
  month =        nov,
  year =         "1959",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Wed Jul 14 15:48:24 MDT 2004",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sarafyan59;
                 http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See comments \cite{Traub:1960:CNM}.",
  acknowledgement = ack-nhfb,
  oldlabel =     "Sarafyan59",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sarafyan59",
}

@Article{Sherry:1959:CGF,
  author =       "M. E. Sherry and S. Fulda",
  title =        "Calculation of Gamma Functions to High Accuracy (in
                 {Technical Notes and Short Papers})",
  journal =      j-MATH-TABLES-OTHER-AIDS-COMPUT,
  volume =       "13",
  number =       "68",
  pages =        "314--315",
  month =        oct,
  year =         "1959",
  CODEN =        "MTTCAS",
  ISSN =         "0891-6837",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Strachey:1959:TSR,
  author =       "C. Strachey",
  title =        "On taking the square root of a complex number",
  journal =      j-COMP-J,
  volume =       "2",
  number =       "2",
  pages =        "89--89",
  month =        jul,
  year =         "1959",
  CODEN =        "CMPJA6",
  DOI =          "http://dx.doi.org/10.1093/comjnl/2.2.89",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:55:11 MDT 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compj1950.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/020089.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/tiff/89.tif",
  acknowledgement = ack-nhfb,
}

@Article{Volder:1959:CCT,
  author =       "Jack Volder",
  title =        "The {CORDIC} Computing Technique",
  journal =      "Proceedings of the Western Joint Computer Conference",
  pages =        "257--261",
  year =         "1959",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/Pre.1975.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "elementary functions",
}

@Article{Volder:1959:CTC,
  author =       "J. E. Volder",
  title =        "The {CORDIC} Trigonometric Computing Technique",
  journal =      j-IRE-TRANS-ELEC-COMPUT,
  volume =       "EC-8",
  number =       "5",
  pages =        "330--334",
  month =        sep,
  year =         "1959",
  CODEN =        "IRELAO",
  ISSN =         "0367-9950",
  bibdate =      "Thu Sep 1 10:15:31 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  acknowledgement = ack-nj,
  fjournal =     "IRE Transactions on Electronic Computers",
}

@Article{Beam:1960:ACE,
  author =       "A. Beam",
  title =        "{Algorithm 14}: {Complex} exponential integral",
  journal =      j-CACM,
  volume =       "3",
  number =       "7",
  pages =        "406--406",
  month =        jul,
  year =         "1960",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:27 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "$\Ei(z)$; special functions",
  remark =       "Fullerton: 30-line Algol procedure incorrectly
                 labelled algorithm 13.",
}

@Article{Haimovici:1960:MRE,
  author =       "Corina Haimovici",
  title =        "A method of representing elementary functions in
                 algebras of finite order. ({Romanian})",
  journal =      "An. {\c{S}}ti. Univ. ``Al. I. Cuza'' Ia{\c{s}}i
                 Sec{\c{t}} I. (N.S.)",
  volume =       "6",
  pages =        "507--515",
  year =         "1960",
  MRclass =      "26.00",
  MRnumber =     "24 \#A1342",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Harumi:1960:VTN,
  author =       "Kasaburo Harumi and Shigetoshi Katsura and John W.
                 {Wrench, Jr.}",
  title =        "Values of {$\frac{2}{\pi} \int^\infty_0
                 \Big(\frac{\sin t}{t}\Big)^n dt$} (in {Technical Notes
                 and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "14",
  number =       "72",
  pages =        "379--379",
  month =        oct,
  year =         "1960",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 10-digit table for $n = 1, 2, \ldots{},
                 30$.",
}

@InCollection{Kogbetliantz:1960:GEF,
  author =       "E. G. Kogbetliantz",
  title =        "Generation of elementary functions",
  crossref =     "Ralston:1960:MMD",
  pages =        "7--35",
  year =         "1960",
  MRclass =      "68.00 (65.00)",
  MRnumber =     "22 \#8681",
  MRreviewer =   "J. C. P. Miller",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lang:1960:ECC,
  author =       "H. A. Lang",
  title =        "On the Evaluation of Certain Complex Elliptic
                 Integrals (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "14",
  number =       "70",
  pages =        "195--199",
  month =        apr,
  year =         "1960",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Manual{Maehly:1960:ACD,
  author =       "Hans J. Maehly",
  title =        "Approximations for the {Control Data 1604}",
  organization = "Institute for Advanced Study",
  address =      "Princeton, NJ",
  pages =        "ii + 44",
  day =          "15",
  month =        jan,
  year =         "1960",
  bibdate =      "Tue Nov 06 00:39:07 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.bitsavers.org/pdf/cdc/1604/Approximations_For_The_Control_Data_1604_Mar60.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "$\arctan(x)$; $\cos(x)$; $\exp(x)$; $\log(x)$;
                 $\sin(x)$; $\sqrt(x)$; $\tan(x)$; CDC 1604",
}

@Article{Philip:1960:FI,
  author =       "J. R. Philip",
  title =        "The function $\operatorname{inverfc} \theta$",
  journal =      j-AUSTRALIAN-J-PHYS,
  volume =       "13",
  number =       "1",
  pages =        "13--20",
  month =        mar,
  year =         "1960",
  CODEN =        "AUJPAS",
  ISSN =         "0004-9506",
  MRnumber =     "22 \9626",
  bibdate =      "Tue Sep 11 20:53:59 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  ZMnumber =     "135.28302",
  abstract =     "The function inverfc $\theta$ arises in certain
                 differential equations when concentration is taken as
                 an independent variable. It enters into a general
                 method of exact solution of the concentration-dependent
                 diffusion equation. An account is given of the
                 properties of this function, and of its derivatives and
                 integrals. The function\par

                 $$B(\theta) = (2/\pi^{1/2})
                 \exp[-(\operatorname{inverfc} \theta)^2]$$

                 \noindent is intimately connected with the first
                 integral of inverfc $\theta$ and with its derivatives.
                 Tables of $\operatorname{inverfc} \theta$ and
                 $B(\theta)$ are given.",
  acknowledgement = ack-nhfb,
}

@Book{Rainville:1960:SF,
  author =       "Earl David Rainville",
  title =        "Special Functions",
  publisher =    "Chelsea Publishing Company",
  address =      "New York, NY, USA",
  pages =        "xii + 365",
  year =         "1960",
  ISBN =         "0-8284-0258-2",
  ISBN-13 =      "978-0-8284-0258-3",
  LCCN =         "QA331 R15; QA351 .R3 1971",
  bibdate =      "Mon Sep 3 16:04:28 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Reprinted in 1971.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Based upon the lectures on special functions which
                 \ldots{} [the author has] been giving at the University
                 of Michigan since 1946. Fullerton: All traditional
                 functions and polynomials are discussed in some
                 detail.",
  subject =      "Functions, Special",
}

@Article{Sarafyan:1960:DCS,
  author =       "Diran Sarafyan",
  title =        "Divisionless computation of square roots through
                 continued squaring",
  journal =      j-CACM,
  volume =       "3",
  number =       "5",
  pages =        "319--321",
  month =        may,
  year =         "1960",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  MRclass =      "65.00",
  MRnumber =     "22\#8639",
  bibdate =      "Fri Nov 25 18:19:26 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "$\sqrt(x)$; elementary functions",
  ZMreviewer =   "M. Lotkin",
}

@Article{Sholander:1960:AEE,
  author =       "Marlow Sholander",
  title =        "Analytical expressions and elementary functions",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "67",
  pages =        "213--214",
  year =         "1960",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "26.00",
  MRnumber =     "22 \#9553",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Book{Slater:1960:CHF,
  author =       "Lucy Joan Slater",
  title =        "Confluent hypergeometric functions",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "247",
  year =         "1960",
  LCCN =         "QA351 .S56",
  bibdate =      "Sat Oct 30 21:01:55 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Discussion of properties and 7 decimal
                 place tables of $_1F_1(a;b;x)$.",
  subject =      "Hypergeometric functions",
}

@Article{Traub:1960:CNM,
  author =       "J. F. Traub",
  title =        "Comments on a recent paper [{``A New Method of
                 Computation of Square Roots Without Using
                 Division''}]",
  journal =      j-CACM,
  volume =       "3",
  number =       "2",
  pages =        "86--86",
  month =        feb,
  year =         "1960",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:25 MST 2005",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Traub60;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Sarafyan:1959:NMC}.",
  acknowledgement = ack-nhfb,
  oldlabel =     "Traub60",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Traub60",
}

@Book{Warmus:1960:TEF,
  author =       "Mieczys{\l}aw Warmus",
  title =        "Tables of elementary functions",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "vii + 567",
  year =         "1960",
  LCCN =         "QA55 .W3 1960",
  MRclass =      "65.05",
  MRnumber =     "23 \#B1141",
  MRreviewer =   "J. C. P. Miller",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Pa{\'n}stwowe Wydawnictwo Naukowe, Warsaw. Separately
                 bound table of proportional parts, 30 pp.",
  acknowledgement = ack-nhfb,
}

@Article{Barakat:1961:EIG,
  author =       "Richard Barakat",
  title =        "Evaluation of the Incomplete Gamma Function of
                 Imaginary Argument by {Chebyshev} Polynomials",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "73",
  pages =        "7--11",
  month =        jan,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Boersma:1961:TFR,
  author =       "J. Boersma",
  title =        "Two Formulas Relating to Elliptic Integrals of the
                 Third Kind (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "75",
  pages =        "296--298",
  month =        jul,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Corrington:1961:ACE,
  author =       "Murlan S. Corrington",
  title =        "Applications of the Complex Exponential Integral",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "73",
  pages =        "1--6",
  month =        jan,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Ehrling:1961:NCI,
  author =       "G. Ehrling",
  title =        "On the Numerical Computation of Incomplete Elliptic
                 Integrals",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "1",
  number =       "1",
  pages =        "8--14",
  month =        mar,
  year =         "1961",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01961946",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:06 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=1;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=1&spage=8",
  acknowledgement = ack-nhfb,
}

@Article{Fields:1961:EHF,
  author =       "Jerry L. Fields and Jet Wimp",
  title =        "Expansions of Hypergeometric Functions in
                 Hypergeometric Functions",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "76",
  pages =        "390--395",
  month =        oct,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Froberg:1961:RCA,
  author =       "Carl-Erik Fr{\"o}berg",
  title =        "Rational {Chebyshev} Approximations of Elementary
                 Functions",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "1",
  number =       "4",
  pages =        "256--262",
  month =        dec,
  year =         "1961",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933243",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:07 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=4;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See erratum \cite{Froberg:1963:ERC}.",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=4&spage=256",
  acknowledgement = ack-nhfb,
  keywords =     "elementary functions",
}

@Article{Gautschi:1961:RCR,
  author =       "Walter Gautschi",
  title =        "Recursive Computation of the Repeated Integrals of the
                 Error Function",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "75",
  pages =        "227--232",
  month =        jul,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Herndon:1961:ABF,
  author =       "John R. Herndon",
  title =        "{Algorithm 57}: {Ber} or {Bei} Function",
  journal =      j-CACM,
  volume =       "4",
  number =       "4",
  pages =        "181--181",
  month =        apr,
  year =         "1961",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:32 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "bei functions; ber functions; special functions",
  remark =       "Fullerton: 20-line Algol procedure that only sums
                 series.",
}

@Article{Herndon:1961:ACEa,
  author =       "John R. Herndon",
  title =        "{Algorithm 55}: {Complete} elliptic integral of the
                 first kind",
  journal =      j-CACM,
  volume =       "4",
  number =       "4",
  pages =        "180--180",
  month =        apr,
  year =         "1961",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:32 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Herndon:1961:ACEb,
  author =       "John R. Herndon",
  title =        "{Algorithm 56}: {Complete} elliptic integral of the
                 second kind",
  journal =      j-CACM,
  volume =       "4",
  number =       "4",
  pages =        "180--181",
  month =        apr,
  year =         "1961",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:32 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Book{Hochstadt:1961:SFM,
  author =       "Harry Hochstadt",
  title =        "Special functions of mathematical physics",
  publisher =    pub-HRW,
  address =      pub-HRW:adr,
  pages =        "viii + 81",
  year =         "1961",
  ISBN =         "0-236-73011-8",
  ISBN-13 =      "978-0-236-73011-7",
  LCCN =         "QA351 H65 1961",
  bibdate =      "Sat Oct 30 18:01:08 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  remark =       "Reprinted 1966.",
}

@Article{Landau:1961:PSW,
  author =       "H. J. Landau and H. O. Pollak",
  title =        "Prolate spheroidal wave functions, {Fourier} analysis
                 and uncertainty. {II}",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "40",
  number =       "1",
  pages =        "65--84",
  month =        jan,
  year =         "1961",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  MRclass =      "33.27",
  MRnumber =     "0140733 (25 \#4147)",
  MRreviewer =   "I. Marx",
  bibdate =      "Tue Nov 9 11:15:54 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1961/BSTJ.1961.4001.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol40/bstj40-1-65.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Article{Luke:1961:EHF,
  author =       "Yudell L. Luke and Richard L. Coleman",
  title =        "Expansion of Hypergeometric Functions in Series of
                 Other Hypergeometric Functions",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "75",
  pages =        "233--237",
  month =        jul,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Rader:1961:CAC,
  author =       "P. J. Rader and Henry C. {Thacher, Jr.}",
  title =        "Certification of {Algorithm 14 [not 13]}: {Complex}
                 exponential integral",
  journal =      j-CACM,
  volume =       "4",
  number =       "2",
  pages =        "105--105",
  month =        feb,
  year =         "1961",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:30 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "$\Ei(z)$; special functions",
  remark =       "Fullerton: It's accurate but sometimes slow.",
}

@Article{Slepian:1961:PSW,
  author =       "D. Slepian and H. O. Pollak",
  title =        "Prolate spheroidal wave functions, {Fourier} analysis
                 and uncertainty. {I}",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "40",
  number =       "1",
  pages =        "43--63",
  month =        jan,
  year =         "1961",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  MRclass =      "33.27",
  MRnumber =     "0140732 (25 \#4146)",
  MRreviewer =   "I. Marx",
  bibdate =      "Tue Nov 9 11:15:54 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1961/BSTJ.1961.4001.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol40/bstj40-1-43.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Book{Sneddon:1961:SFM,
  author =       "Ian Naismith Sneddon",
  title =        "Special functions of mathematical physics and
                 chemistry",
  publisher =    "Oliver and Boyd",
  address =      "Edinburgh, UK",
  edition =      "Ssecond",
  pages =        "184",
  year =         "1961",
  LCCN =         "QA331 .S65 1961",
  bibdate =      "Sat Oct 30 21:22:03 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "University mathematical texts",
  acknowledgement = ack-nhfb,
  remark =       "See first edition \cite{Sneddon:1956:SFM} and third
                 edition {Sneddon:1980:SFM}",
}

@Article{Spielberg:1961:ECF,
  author =       "Kurt Spielberg",
  title =        "Efficient Continued Fraction Approximations To
                 Elementary Functions",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "76",
  pages =        "409--417",
  month =        oct,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65.20",
  MRnumber =     "MR0134842 (24 \#B894)",
  MRreviewer =   "M. E. Rose",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
                 database",
  acknowledgement = ack-nj # " and " # ack-nhfb,
}

@Article{Thacher:1961:ISR,
  author =       "Henry C. {Thacher, Jr.}",
  title =        "Iterated Square Root Expansions for the Inverse Cosine
                 and Inverse Hyperbolic Cosine",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "76",
  pages =        "399--403",
  month =        oct,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Werner:1961:CAG,
  author =       "Helmut Werner and Robert Collinge",
  title =        "{Chebyshev} Approximations to the Gamma Function (in
                 {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "15",
  number =       "74",
  pages =        "195--197",
  month =        apr,
  year =         "1961",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Albrecht:1962:FKM,
  author =       "J. Albrecht",
  title =        "{Fehlerschranken und Konvergenzbeschleunigung bei
                 einer monotonen oder alternierenden Iterationsfolge}.
                 ({German}) [{Error} Bounds and Convergence Acceleration
                 with a Monotone or Alternating Iteration Sequence]",
  journal =      j-NUM-MATH,
  volume =       "4",
  pages =        "196--208",
  month =        dec,
  year =         "1962",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Mon Oct 18 01:28:20 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
  language =     "German",
}

@TechReport{Blanch:1962:TRR,
  author =       "Gertrude Blanch and Donald S. Clemm",
  title =        "Tables Relating to the Radial {Mathieu} Functions,
                 Vols. 1 \& 2",
  type =         "Report",
  institution =  "Aeronautical Research Labs. U. S. Government Printing
                 Office",
  address =      "Washington, DC, USA",
  year =         "1962",
  bibdate =      "Fri Oct 29 21:37:53 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Gertrude Blanch (1897--1996)",
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 7-place tables.",
}

@Article{Boersma:1962:CLF,
  author =       "J. Boersma",
  title =        "On the Computation of {Lommel}'s Functions of Two
                 Variables (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "16",
  number =       "78",
  pages =        "232--238",
  month =        apr,
  year =         "1962",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Lommel's functions are infinite sums
                 involving Bessel functions $J_{\nu - 2m}(x)$.",
}

@Article{Cantor:1962:LEF,
  author =       "D. Cantor and G. Estrin and R. Turn",
  title =        "Logarithmic and Exponential Function Evaluation in a
                 Variable Structure Digital Computer",
  journal =      j-IRE-TRANS-ELEC-COMPUT,
  volume =       "EC-11",
  number =       "2",
  pages =        "155--164",
  month =        apr,
  year =         "1962",
  CODEN =        "IRELAO",
  DOI =          "http://dx.doi.org/10.1109/TEC.1962.5219348",
  ISSN =         "0367-9950",
  bibdate =      "Thu Jul 14 09:11:49 MDT 2011",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219348",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
  fjournal =     "IRE Transactions on Electronic Computers",
}

@Article{Christiansen:1962:APC,
  author =       "S{\o}ren Christiansen",
  title =        "{Algol} Programming: Contribution no. 3: Calculation
                 of complementary {Fresnel} integrals",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "2",
  number =       "3",
  pages =        "192--194",
  year =         "1962",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Mon Nov 16 14:34:20 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: A 50-line Algol procedure is given. It
                 calculates $\int_x^\infty \cos(t)/\sqrt{2 \pi t} \, dt$
                 and $\int_x^\infty \sin(t)/\sqrt{2 \pi t} \, dt$.",
}

@Article{Cundiff:1962:AEA,
  author =       "John L. Cundiff",
  title =        "{Algorithm 88}: {Evaluation} of Asymptotic Expression
                 for the {Fresnel} Sine and Cosine Integrals",
  journal =      j-CACM,
  volume =       "5",
  number =       "5",
  pages =        "280--280",
  month =        may,
  year =         "1962",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:38 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "C(x); S(x); special functions",
  remark =       "Fullerton: Can be used with algorithms 89 and 90.
                 30-line Algol procedure.",
}

@Article{Cundiff:1962:AEFa,
  author =       "John L. Cundiff",
  title =        "{Algorithm 89}: {Evaluation} of the {Fresnel} Sine
                 Integral",
  journal =      j-CACM,
  volume =       "5",
  number =       "5",
  pages =        "280--280",
  month =        may,
  year =         "1962",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:38 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "S(x); special functions",
  remark =       "Fullerton: 20-line Algol procedure that must be used
                 with algorithm 88.",
}

@Article{Cundiff:1962:AEFb,
  author =       "John L. Cundiff",
  title =        "{Algorithm 90}: {Evaluation} of the {Fresnel} Cosine
                 Integral",
  journal =      j-CACM,
  volume =       "5",
  number =       "5",
  pages =        "281--281",
  month =        may,
  year =         "1962",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:38 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "C(x); special functions",
  remark =       "Fullerton: 20-line Algol procedure that must be used
                 with algorithm 88.",
}

@Article{Hansen:1962:SRV,
  author =       "Eldon R. Hansen and Merrell L. Patrick",
  title =        "Some Relations and Values for the Generalized
                 {Riemann} Zeta Function",
  journal =      j-MATH-COMPUT,
  volume =       "16",
  number =       "79",
  pages =        "265--274",
  month =        jul,
  year =         "1962",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Jefferson:1962:RAI,
  author =       "David K. Jefferson",
  title =        "Remark on {Algorithm 73}: {Incomplete} elliptic
                 integrals",
  journal =      j-CACM,
  volume =       "5",
  number =       "10",
  pages =        "514--514",
  month =        oct,
  year =         "1962",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:41 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Landau:1962:PSW,
  author =       "H. J. Landau and H. O. Pollak",
  title =        "Prolate spheroidal wave functions, {Fourier} analysis
                 and uncertainty. {III}. {The} dimension of the space of
                 essentially time- and band-limited signals",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "41",
  number =       "4",
  pages =        "1295--1336",
  month =        jul,
  year =         "1962",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  MRclass =      "33.28 (94.10)",
  MRnumber =     "0147686 (26 \#5200)",
  MRreviewer =   "I. Marx",
  bibdate =      "Tue Nov 9 11:15:54 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1962/BSTJ.1962.4104.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol41/bstj41-4-1295.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Article{Merner:1962:AAC,
  author =       "J. N. Merner",
  title =        "{ACM Algorithm 149}: Complete Elliptic Integral",
  journal =      j-CACM,
  volume =       "5",
  number =       "12",
  pages =        "605",
  month =        dec,
  year =         "1962",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Thu Sep 08 09:47:50 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Skovgaard:1978:RCE}.",
  acknowledgement = ack-nhfb,
}

@Article{Thacher:1962:CAB,
  author =       "Henry C. {Thacher, Jr.}",
  title =        "Certification of {Algorithm 57}:
                 {$\operatorname{ber}$} or {$\operatorname{bei}$}
                 function",
  journal =      j-CACM,
  volume =       "5",
  number =       "8",
  pages =        "438--438",
  month =        aug,
  year =         "1962",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:40 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "bei functions; ber functions; special functions",
  remark =       "Fullerton: The algorithm is inaccurate for large
                 $x$.",
}

@Article{Thacher:1962:CAH,
  author =       "Henry C. {Thacher, Jr.}",
  title =        "Certification of {Algorithms 191 and 192,
                 Hypergeometric and Confluent Hypergeometric
                 Functions}",
  journal =      j-CACM,
  volume =       "7",
  number =       "4",
  pages =        "244--244",
  month =        apr,
  year =         "1962",
  bibdate =      "Sat Oct 30 11:27:28 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: An error in a comment is noted.",
}

@Article{Burgoyne:1963:AKF,
  author =       "F. D. Burgoyne",
  title =        "Approximations to {Kelvin} Functions (in {Technical
                 Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "17",
  number =       "83",
  pages =        "295--298",
  month =        jul,
  year =         "1963",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 9-digit approximations.",
}

@Article{Carlitz:1963:IEF,
  author =       "L. Carlitz",
  title =        "The Inverse of the Error Function",
  journal =      j-PAC-J-MATH,
  volume =       "13",
  number =       "2",
  pages =        "459--470",
  year =         "1963",
  CODEN =        "PJMAAI",
  ISSN =         "0030-8730 (print), 1945-5844 (electronic)",
  bibdate =      "Thu Sep 13 21:30:05 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://pjm.math.berkeley.edu/pjm;
                 http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.pjm/1103035736&view=body&content-type=pdf_1",
  acknowledgement = ack-nhfb,
}

@Article{Clenshaw:1963:ASF,
  author =       "C. W. Clenshaw and G. F. Miller and M. Woodger",
  title =        "Algorithms for Special Functions {I}",
  journal =      j-NUM-MATH,
  volume =       "4",
  pages =        "403--419",
  month =        dec,
  year =         "1963",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Fri Sep 16 10:21:31 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: ALGOL 60 procedures with accuracy $\approx
                 10^{-15}$ for $\exp$, $\ln$, $\sin$, $\cos$, $\tan$,
                 $\arcsin$, $\arctan$, $\gamma$, $\Ei$ and $\erf$. See
                 G. F. Miller (1965) for corrections.",
}

@Article{Eve:1963:SAI,
  author =       "J. Eve",
  title =        "Starting approximation for the iterative calculation
                 of square roots",
  journal =      j-COMP-J,
  volume =       "6",
  number =       "3",
  pages =        "274--276",
  month =        oct,
  year =         "1963",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:55:49 MDT 2000",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/compj1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/060274.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/274.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/275.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/276.tif",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Fettis:1963:AMH,
  author =       "Henry E. Fettis",
  title =        "{Algorithm 163}: {Modified} {Hankel} function",
  journal =      j-CACM,
  volume =       "6",
  number =       "4",
  pages =        "161--162",
  month =        apr,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:46 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Hankel functions; special functions",
  remark =       "Fullerton: A 25-line Algol procedure for $e^x
                 K_p(x)$.",
}

@Article{Froberg:1963:APC,
  author =       "Carl-Erik Fr{\"o}berg",
  title =        "{Algol} Programming: Contribution no. 5: Computation
                 of the {Fermi} function",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "3",
  number =       "2",
  pages =        "141--142",
  year =         "1963",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Mon Nov 16 14:36:22 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The Fermi function depends on several
                 physical parameters of the atomic nucleus.",
}

@Article{Froberg:1963:ERC,
  author =       "C.-E. Fr{\"o}berg",
  title =        "Erratum: {``Rational Chebyshev Approximations of
                 Elementary Functions'' [BIT {\bf 1}(4), 1961, p. 261,
                 line 12]}",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "3",
  number =       "1",
  pages =        "68--68",
  month =        mar,
  year =         "1963",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01963538",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:07 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=3&issue=1;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Froberg:1961:RCA}.",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=3&issue=1&spage=68",
  acknowledgement = ack-nhfb,
  keywords =     "elementary functions",
}

@Article{Gray:1963:AFI,
  author =       "Malcolm D. Gray",
  title =        "{Algorithm 213}: {Fresnel} Integrals",
  journal =      j-CACM,
  volume =       "6",
  number =       "10",
  pages =        "617--617",
  month =        oct,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:49 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See certification \cite{Gray:1964:CAF} and related
                 remark \cite{Gray:1963:RAE}.",
  acknowledgement = ack-nhfb,
  keywords =     "C(x); S(x); special functions",
}

@Article{Gray:1963:RAE,
  author =       "Malcolm D. Gray",
  title =        "Remark on Algorithms 88, 89, and 90 evaluation of the
                 {Fresnel} integrals",
  journal =      j-CACM,
  volume =       "6",
  number =       "10",
  pages =        "618--618",
  month =        oct,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:49 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "C(x); S(x); special functions",
  remark =       "Fullerton: An error is noted.",
}

@Article{Hofsommer:1963:NCE,
  author =       "D. J. Hofsommer and R. van de Riet",
  title =        "On the numerical calculation of elliptic integrals of
                 the first and second kind and the elliptic functions of
                 {Jacobi}",
  journal =      j-NUM-MATH,
  volume =       "5",
  pages =        "291--302",
  month =        dec,
  year =         "1963",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Oct 18 01:28:20 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lee-Whiting:1963:EFC,
  author =       "G. E. Lee-Whiting",
  title =        "Erratum: ``{Formulas} for Computing Incomplete
                 Elliptic Integrals of the First and Second Kinds''",
  journal =      j-J-ACM,
  volume =       "10",
  pages =        "412--412",
  year =         "1963",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  bibdate =      "Sat Dec 10 15:59:26 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Lee-Whiting:1963:FCI}.",
  acknowledgement = ack-nhfb,
  xxmonth =      "none",
  xxnumber =     "none",
}

@Article{Lee-Whiting:1963:FCI,
  author =       "G. E. Lee-Whiting",
  title =        "Formulas for Computing Incomplete Elliptic Integrals
                 of the First and Second Kinds",
  journal =      j-J-ACM,
  volume =       "10",
  number =       "2",
  pages =        "126--130",
  month =        apr,
  year =         "1963",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  bibdate =      "Sat Nov 05 22:55:28 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Lee-Whiting:1963:EFC}.",
  acknowledgement = ack-nhfb,
}

@Book{Ljusternik:1963:MVF,
  author =       "L. A. Ljusternik and O. A. {\v{C}}ervonenkis and A. R.
                 Janpol{\'s}ki{{\u{\i}}}",
  title =        "{\cyr Matematicheski{\u{\i}}analiz. Vychislenie
                 {\`e}lementarnykh funktsi{\u{\i}}}. [Mathematical
                 analysis. {Computation} of the elementary functions]",
  publisher =    "Gosudarstv. Izdat. Fiz-Mat. Lit.",
  address =      "Moscow, USSR",
  pages =        "247",
  year =         "1963",
  MRclass =      "65.25",
  MRnumber =     "28 \#1733",
  MRreviewer =   "John Todd",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ludwig:1963:AIB,
  author =       "Oliver G. Ludwig",
  title =        "{Algorithm 179}: {Incomplete} beta ratio",
  journal =      j-CACM,
  volume =       "6",
  number =       "6",
  pages =        "314--314",
  month =        jun,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:47 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Pike:1976:RIB,Bosten:1974:RAI}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: This algorithm is the basis for a modern
                 treatment by Bosten and Battiste.",
}

@Article{Meyer:1963:CAI,
  author =       "Noelle A. Meyer",
  title =        "Certification of {Algorithm 73}: {Incomplete} elliptic
                 integrals",
  journal =      j-CACM,
  volume =       "6",
  number =       "2",
  pages =        "69--69",
  month =        feb,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:44 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Newman:1963:ICS,
  author =       "J. N. Newman and W. Frank",
  title =        "An Integral Containing the Square of a {Bessel}
                 Function",
  journal =      j-MATH-COMPUT,
  volume =       "17",
  number =       "81",
  pages =        "64--70",
  month =        jan,
  year =         "1963",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The integral $I_n^m(x) = \int_0^{\pi/2}
                 \frac{J_n^2(x \cos (\theta))}{(x \cos(\theta))^{2m}} \,
                 d\theta$, where $m$ and $n$ are either integers or half
                 integers, is considered.",
}

@Article{Peuizulaev:1963:AEF,
  author =       "{\v{S}}. I. Pe{\u{\i}}zulaev",
  title =        "An approximation by elementary functions.
                 ({Russian})",
  journal =      "{\v{Z}}. Vy{\v{c}}isl. Mat. i Mat. Fiz.",
  volume =       "3",
  pages =        "769--770",
  year =         "1963",
  MRclass =      "41.30",
  MRnumber =     "28 \#398",
  MRreviewer =   "D. D. Stancu",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Relph:1963:AAH,
  author =       "A. P. Relph",
  title =        "{ACM Algorithm 191}: Hypergeometric",
  journal =      j-CACM,
  volume =       "6",
  number =       "7",
  pages =        "388--389",
  month =        jul,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Thu Sep 08 09:32:02 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See certification \cite{Koppelaar:1974:CRA}.",
  acknowledgement = ack-nhfb,
}

@Article{Relph:1963:ACH,
  author =       "A. P. Relph",
  title =        "{Algorithm 192}: {Confluent} hypergeometric",
  journal =      j-CACM,
  volume =       "6",
  number =       "7",
  pages =        "388--388",
  month =        jul,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:47 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 30-line Algol procedure for complex args.
                 The work of Luke supersedes this.",
}

@Article{Relph:1963:AH,
  author =       "A. P. Relph",
  title =        "{Algorithm 191}: {Hypergeometric}",
  journal =      j-CACM,
  volume =       "6",
  number =       "7",
  pages =        "388--388",
  month =        jul,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:47 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See certification \cite{Koppelaar:1974:CRA}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 30-line Algol procedure. The work of Luke
                 is better.",
}

@Book{Sneddon:1963:SFM,
  author =       "Ian Naismith Sneddon",
  title =        "{Spezielle Funktionen der mathematischen Physik und
                 Chemie. Mathematische Formelsammlung II}. ({German})
                 [Special {functions} of mathematical physics and
                 chemistry. {Mathematical} formula collection {II}]",
  volume =       "54",
  publisher =    "Bibliographisches Institut",
  address =      "Mannheim, West Germany",
  pages =        "166",
  year =         "1963",
  LCCN =         "QA351 .S6415",
  bibdate =      "Sat Oct 30 21:22:03 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "B. I.-Hochschultaschenb{\"u}cher",
  acknowledgement = ack-nhfb,
  language =     "German",
  remark =       "German translation of \cite{Sneddon:1961:SFM}.",
  subject =      "Functions; Mathematical physics",
}

@Article{Stern:1963:CSR,
  author =       "T. E. Stern and R. M. Lerner",
  title =        "A circuit for the square root of the sum of the
                 squares",
  journal =      j-PROC-IEEE,
  volume =       "51",
  number =       "4",
  pages =        "593--596",
  month =        apr,
  year =         "1963",
  CODEN =        "IEEPAD",
  ISSN =         "0018-9219 (print), 1558-2256 (electronic)",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  summary =      "A piecewise-linear network can produce an output
                 proportional to the square root of the sum of the
                 squares of a set of input voltages, using resistors and
                 diodes alone. The required relationship between
                 voltages can be represented by a multi- \ldots{}",
}

@Article{Sweeney:1963:CEC,
  author =       "Dura W. Sweeney",
  title =        "On the Computation of {Euler}'s Constant",
  journal =      j-MATH-COMPUT,
  volume =       "17",
  number =       "82",
  pages =        "170--178",
  month =        apr,
  year =         "1963",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 3566 digits should be enough.",
}

@Article{Thacher:1963:ACEa,
  author =       "Henry C. {Thacher, Jr.}",
  title =        "{Algorithm 165}: {Complete} elliptic integrals",
  journal =      j-CACM,
  volume =       "6",
  number =       "4",
  pages =        "163--164",
  month =        apr,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:46 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Thacher:1963:CACa,
  author =       "Henry C. {Thacher, Jr.}",
  title =        "Certification of {Algorithm 55}: {Complete} elliptic
                 integral of the first kind",
  journal =      j-CACM,
  volume =       "6",
  number =       "4",
  pages =        "166--167",
  month =        apr,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:46 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Thacher:1963:CACb,
  author =       "Henry C. {Thacher, Jr.}",
  title =        "Certification of {Algorithm 149}: {Complete} elliptic
                 integral",
  journal =      j-CACM,
  volume =       "6",
  number =       "4",
  pages =        "166--167",
  month =        apr,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:46 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{vandeRiet:1963:CAI,
  author =       "R. P. van de Riet",
  title =        "Certification of {Algorithm 73}: {Incomplete} elliptic
                 integrals",
  journal =      j-CACM,
  volume =       "6",
  number =       "4",
  pages =        "167--167",
  month =        apr,
  year =         "1963",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:46 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Werner:1963:AFI,
  author =       "H. Werner and G. Raymann",
  title =        "An Approximation to the {Fermi} Integral
                 ${F}_{1/2}(x)$",
  journal =      j-MATH-COMPUT,
  volume =       "17",
  number =       "82",
  pages =        "193--194",
  month =        apr,
  year =         "1963",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Relative errors of $5 \times 10^{-4}$.",
}

@Article{Whittlesey:1963:IGF,
  author =       "John R. B. Whittlesey",
  title =        "Incomplete Gamma Functions for Evaluating {Erlang}
                 Process Probabilities",
  journal =      j-MATH-COMPUT,
  volume =       "17",
  number =       "81",
  pages =        "11--17",
  month =        jan,
  year =         "1963",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@InCollection{Abramowitz:1964:CWF,
  author =       "Milton Abramowitz",
  title =        "{Coulomb} Wave Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "537--554",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Abramowitz:1964:SFR,
  author =       "Milton Abramowitz",
  title =        "{Struve} Functions and Related Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "495--502",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Antosiewicz:1964:BFF,
  author =       "H. A. Antosiewicz",
  title =        "{Bessel} Functions of Fractional Order",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "435--478",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Blanch:1964:MF,
  author =       "Gertrude Blanch",
  title =        "{Mathieu} Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "721--750",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  author-dates = "1897--1996",
  citedby =      "Fullerton:1980:BEM",
}

@Article{Bray:1964:CAGa,
  author =       "T. A. Bray",
  title =        "Certification of {Algorithm 225}: {Gamma} function
                 with controlled accuracy",
  journal =      j-CACM,
  volume =       "7",
  number =       "10",
  pages =        "586--586",
  month =        oct,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:56 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "$\Gamma(x)$; special functions",
  remark =       "Fullerton: No corrections were necessary.",
}

@Article{Burgoyne:1964:GTF,
  author =       "F. D. Burgoyne",
  title =        "Generalized Trigonometric Functions (in {Technical
                 Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "18",
  number =       "86",
  pages =        "314--316",
  month =        apr,
  year =         "1964",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Cody:1964:DPS,
  author =       "William J. {Cody, Jr.}",
  title =        "Double-Precision Square Root for the {CDC-3600}",
  journal =      j-CACM,
  volume =       "7",
  number =       "12",
  pages =        "715--718",
  month =        dec,
  year =         "1964",
  CODEN =        "CACMA2",
  DOI =          "http://doi.acm.org/10.1145/355588.365122",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:19:57 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  abstract =     "In January of 1960, the late Hans J. Maehly completed
                 a summary of approximations to the elementary functions
                 for the CDC-1604 computer. The approximations and
                 techniques suggested by Maehly are equally applicable
                 to the second large computer in the CDC line, the 3600.
                 Unlike the 1604, however, the 3600 has built-in
                 double-precision floating-point arithmetic. The present
                 work, largely inspired by the successes of Maehly and
                 his associates, concerns the extension of one of
                 Maehly's ideas to a double-precision subroutine for the
                 3600.",
  acknowledgement = ack-nhfb # "\slash " # ack-nj,
  keywords =     "$sqrt(x)$; CDC 3600; elementary functions;
                 floating-point arithmetic",
}

@Article{Cowgill:1964:LEB,
  author =       "D. Cowgill",
  title =        "Logic Equations for a Built-In Square Root Method",
  journal =      j-IEEE-TRANS-ELEC-COMPUT,
  volume =       "EC-13",
  number =       "2",
  pages =        "156--157",
  month =        apr,
  year =         "1964",
  CODEN =        "IEECA8",
  DOI =          "http://dx.doi.org/10.1109/PGEC.1964.263791",
  ISSN =         "0367-7508",
  bibdate =      "Thu Jul 14 06:56:59 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038119",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Electronic Computers",
}

@Article{Curtiss:1964:EIB,
  author =       "C. F. Curtiss",
  title =        "Expansions of Integrals of {Bessel} Functions of Large
                 Order",
  journal =      j-J-MATH-PHYS,
  volume =       "5",
  number =       "4",
  pages =        "561--564",
  month =        apr,
  year =         "1964",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.1704149",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 28 08:40:12 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v5/i4/p561_s1",
  acknowledgement = ack-nhfb,
  onlinedate =   "22 December 2004",
  pagecount =    "4",
}

@Article{Cyvin:1964:AGF,
  author =       "S. J. Cyvin and B. N. Cyvin",
  title =        "{Algorithm 225}: {Gamma} function with controlled
                 accuracy",
  journal =      j-CACM,
  volume =       "7",
  number =       "5",
  pages =        "295--295",
  month =        may,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:53 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "$\Gamma(x)$; special functions",
  remark =       "Fullerton: 30-line Algol procedure based on
                 out-of-date method.",
}

@InCollection{Davis:1964:GFR,
  author =       "Philip J. Davis",
  title =        "Gamma Function and Related Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "253--294",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@TechReport{Fisherkeller:1964:TCE,
  author =       "M. A. Fisherkeller and W. J. {Cody, Jr.}",
  title =        "Tables of the Complete Elliptic Integrals ${K}$,
                 ${K}'$, ${E}$, and ${E}'$",
  type =         "Technical Memo",
  number =       "ANL AMD 71",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  pages =        "14",
  year =         "1964",
  bibdate =      "Thu Nov 17 10:44:21 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See review by John W. Wrench in Mathematics of
                 Computation, {\bf 19}(89--92), 342, 1965.",
  acknowledgement = ack-nhfb,
}

@Article{Gargantini:1964:RCA,
  author =       "I. Gargantini and T. Pomentale",
  title =        "Rational {Chebyshev} approximations to the {Bessel}
                 function integrals {$Ki_s(x)$}",
  journal =      j-CACM,
  volume =       "7",
  number =       "12",
  pages =        "727--730",
  month =        dec,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  MRclass =      "65.25",
  MRnumber =     "31\#863",
  bibdate =      "Fri Nov 25 18:19:57 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "The second Remes algorithm is used to approximate the
                 integrals $Ki_s$ by rational functions. The related
                 coefficients for the approximations of $Ki_1, Ki_2,
                 Ki_3$ are given for different precisions.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Bessel functions; Kis(x); special functions",
  remark =       "Fullerton: Approximations for repeated integrals
                 $\operatorname{Ki}_s(x)$ of $K(x)$ for $s= 1, 2, 3$ are
                 given for accuracies down to $10^{-5}$ for $s = 1$ and
                 to $10^{-7}$ for $s = 2, 3$.",
}

@Article{Gautschi:1964:AIB,
  author =       "Walter Gautschi",
  title =        "{Algorithm 222}: {Incomplete} beta functions ratios",
  journal =      j-CACM,
  volume =       "7",
  number =       "3",
  pages =        "143--143",
  month =        mar,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:52 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "beta functions; special functions",
  remark =       "Fullerton: 200-line Algol procedure.",
}

@Article{Gautschi:1964:CAI,
  author =       "Walter Gautschi",
  title =        "Certification of {Algorithm 222}: {Incomplete} beta
                 function ratios",
  journal =      j-CACM,
  volume =       "7",
  number =       "4",
  pages =        "244--244",
  month =        apr,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:53 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "beta functions; special functions",
  remark =       "Fullerton: A typographical error is noted.",
}

@InCollection{Gautschi:1964:EFF,
  author =       "Walter Gautschi",
  title =        "Error Function and {Fresnel} Integrals",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "295--330",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Gautschi:1964:EIR,
  author =       "Walter Gautschi and William F. Cahill",
  title =        "Exponential Integral and Related Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "227--252",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Gray:1964:CAF,
  author =       "Malcolm Gray",
  title =        "Certification of {Algorithm 213}: {Fresnel}
                 integrals",
  journal =      j-CACM,
  volume =       "7",
  number =       "11",
  pages =        "661--661",
  month =        nov,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:56 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Gray:1963:AFI,Gray:1963:RAE}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "C(x); S(x); special functions",
  remark =       "Fullerton: Several corrections are given.",
}

@InCollection{Haynsworth:1964:BEP,
  author =       "Emilie V. Haynsworth and Karl Goldberg",
  title =        "{Bernoulli} and {Euler} Polynomials, {Riemann Zeta}
                 Function",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "803--820",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Hochstrasser:1964:OP,
  author =       "Urs W. Hochstrasser",
  title =        "Orthogonal Polynomials",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "771--802",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Hummer:1964:EDF,
  author =       "David G. Hummer",
  title =        "Expansions of {Dawson}'s Function in a Series of
                 {Chebyshev} Polynomials (in {Technical Notes and Short
                 Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "18",
  number =       "86",
  pages =        "317--319",
  month =        apr,
  year =         "1964",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Almost l5-digit approximations.",
}

@Article{Lanczos:1964:PAG,
  author =       "C. Lanczos",
  title =        "A Precision Approximation of the Gamma Function",
  journal =      j-SIAM-J-NUM-ANALYSIS-B,
  volume =       "1",
  number =       "??",
  pages =        "86--96",
  month =        "????",
  year =         "1964",
  ISSN =         "0887-459X (print), 1095-7170 (electronic)",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2949767",
  acknowledgement = ack-nhfb,
}

@Article{Lotsch:1964:AFI,
  author =       "Helmut Lotsch and Malcolm Gray",
  title =        "{Algorithm 244}: {Fresnel} Integrals [{S20}]",
  journal =      j-CACM,
  volume =       "7",
  number =       "11",
  pages =        "660--661",
  month =        nov,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:56 MST 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "This procedure computes the Fresnel sine and cosine
                 integrals $C(w) = \int_0^\infty \cos [(\pi/2)t^2]\,dt$
                 and $S(w) = \int_0^w \sin [(\pi/2)t^2]\,dt$. It is a
                 modification of Algorithm 213 (Comm. ACM, 6 (Oct.
                 1963), 617) such that the accuracy, expressed by
                 \textit{eps}, is improved. eps can arbitrarily be
                 chosen up to $\textit{eps} = 10^{-6}$ for a computer
                 with sufficient word length as, for example, the
                 Burroughs B5000 which has 11--12 significant digits.
                 Referring to the formulas of Algorithm 213: if $|w| <
                 \sqrt{(26.20/\pi)}$ the series expansions $C(w)$ and
                 $S(w)$ are terminated when the absolute value of the
                 relative change in two successive terms is $\leq
                 \textit{eps}$. If $|w| \geq \sqrt{(26.20/\pi)}$ the
                 series $Q(x)$ and $P(x)$ are terminated when the
                 absolute value of the terms is $\leq \textit{eps}/2$.
                 However, this truncation point is not necessarily valid
                 for the range $\sqrt{(26.20/\pi)} \leq |w| <
                 \sqrt{(28.50/\pi)}$ when $\textit{eps} = 10^{-6}$,
                 since the asymptotic series must be terminated before
                 arriving at the minimum. In this range the ignored
                 terms of the series expansions are $< 3 \times 10^{6}$,
                 and for larger arguments $< 10^{-6}$. This accuracy may
                 be improved if desired: the switch-over point from the
                 regular to the asymptotic series expansions has to be
                 displaced to larger arguments.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "C(x); Fresnel integrals; S(x); special functions",
  remark =       "Fullerton: 100-line Algol procedure.",
}

@InCollection{Lowan:1964:SWF,
  author =       "Arnold N. Lowan",
  title =        "Spheroidal Wave Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "751--770",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Luke:1964:IBF,
  author =       "Yudell L. Luke",
  title =        "Integrals of {Bessel} Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "479--494",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Miller:1964:PCF,
  author =       "J. C. P. Miller",
  title =        "Parabolic Cylinder Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "685--720",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Milne-Thomson:1964:EI,
  author =       "L. M. Milne-Thomson",
  title =        "Elliptic Integrals",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "587--626",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Milne-Thomson:1964:JEF,
  author =       "L. M. Milne-Thomson",
  title =        "{Jacobian} Elliptic Functions and Theta Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "567--586",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Morelock:1964:AAE,
  author =       "J. C. Morelock",
  title =        "{ACM} Algorithm 229: Elementary Functions by Continued
                 Fractions",
  journal =      j-CACM,
  volume =       "7",
  number =       "5",
  pages =        "296",
  month =        may,
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Thu Sep 08 09:32:21 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Oberhettinger:1964:HF,
  author =       "Frtiz Oberhettinger",
  title =        "Hypergeometric Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "555--566",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Olver:1964:BFI,
  author =       "F. W. J. Olver",
  title =        "{Bessel} Functions of Integer Order",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "355--434",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Schmidt:1964:AEC,
  author =       "Paul W. Schmidt",
  title =        "Asymptotic Expansion of Certain Integrals Containing
                 the {Bessel} Function {$J_0(x)$}",
  journal =      j-J-MATH-PHYS,
  volume =       "5",
  number =       "8",
  pages =        "1183--1184",
  month =        aug,
  year =         "1964",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.1704223",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 28 08:40:15 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v5/i8/p1183_s1",
  acknowledgement = ack-nhfb,
  onlinedate =   "22 December 2004",
  pagecount =    "2",
}

@Article{Simauti:1964:AFS,
  author =       "Takakazu Simauti",
  title =        "Approximation formulas for some elementary functions",
  journal =      "Comment. Math. Univ. St. Paul.",
  volume =       "12",
  pages =        "23--35",
  year =         "1964",
  CODEN =        "COMAAC",
  ISSN =         "0010-258X",
  MRclass =      "65.25",
  MRnumber =     "28 \#5552",
  MRreviewer =   "John Todd",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Slater:1964:CHF,
  author =       "Lucy Joan Slater",
  title =        "Confluent Hvpergeometric Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "503--536",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Slepian:1964:PSW,
  author =       "David Slepian",
  title =        "Prolate Spheroidal Wave Functions, {Fourier} Analysis
                 and Uncertainty --- {IV}: Extensions to Many
                 Dimensions; Generalized Prolate Spheroidal Functions",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "43",
  number =       "6",
  pages =        "3009--3057",
  month =        nov,
  year =         "1964",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  MRclass =      "33.28",
  MRnumber =     "0181766 (31 \#5993)",
  MRreviewer =   "J. Meixner",
  bibdate =      "Tue Nov 9 11:15:55 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1964/BSTJ.1964.4306.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol43/bstj43-6-3009.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@InCollection{Southard:1964:WER,
  author =       "Thomas H. Southard",
  title =        "{Weierstrass} Elliptic and Related Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "627--684",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Stegun:1964:LF,
  author =       "Irene A. Stegun",
  title =        "{Legendre} Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "331--354",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Stegun:1964:MF,
  author =       "Irene A. Stegun",
  title =        "Miscellaneous Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "997--1010",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Clausen's integral; Clebsch--Gordan coefficients;
                 Debye function; Dilogarithm (Spence's integral);
                 Einstein function; Planck function; Sievert and related
                 integrals",
  remark =       "Fullerton: Debye, Planck and Einstein functions.
                 Sievert and related integrals. Dilogarithm (Spence's
                 integral). Clausen's integral. Clebsch--Gordan
                 coefficients.",
}

@Article{Wengert:1964:SAD,
  author =       "R. E. Wengert",
  title =        "A simple automatic derivative evaluation program",
  journal =      j-CACM,
  volume =       "7",
  number =       "8",
  pages =        "463--464",
  year =         "1964",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/auto.diff.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "A procedure for automatic evaluation of total and
                 partial derivatives of arbitrary algebraic functions is
                 presented. The numerical values of derivatives are
                 computed without developing analytic expressions for
                 the derivatives. The function is decomposed into a
                 sequence of elementary expressions A library is
                 provided for differentiating of elementary functions.",
  acknowledgement = ack-nhfb,
  keywords =     "computer program.; differentiation arithmetic; point
                 algorithm",
  referred =     "[Bell65a]; [Carl86a]; [Corl88a]; [Garc91a]; [Irim91a];
                 [Kala83b]; [Laws88a]; [Laws91a]; [Neid87a]; [Neid89a];
                 [Ostr71a]; [Pfei87a]; [Tesf91a]; [Voli85a]; [Wexl87a];
                 [Wilk64a].",
}

@InCollection{Zelen:1964:PF,
  author =       "Marvin Zelen and Norman C. Severo",
  title =        "Probability Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "925--996",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@InCollection{Zucker:1964:ETF,
  author =       "Ruth Zucker",
  title =        "Elementary Transcendental Functions. {Logarithmic},
                 Exponential, Circular and Hyperbolic Functions",
  crossref =     "Abramowitz:1964:HMF",
  pages =        "65--226",
  year =         "1964",
  bibdate =      "Sat Oct 30 19:37:56 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Bingulac:1965:ACG,
  author =       "S. P. Bingulac and E. A. Humo",
  title =        "Analog Computer Generation of {Bessel} Functions of
                 Arbitrary Order",
  journal =      j-IEEE-TRANS-ELEC-COMPUT,
  volume =       "EC-14",
  number =       "6",
  pages =        "886--889",
  month =        dec,
  year =         "1965",
  CODEN =        "IEECA8",
  DOI =          "http://dx.doi.org/10.1109/PGEC.1965.264084",
  ISSN =         "0367-7508",
  bibdate =      "Thu Jul 14 06:26:41 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038609",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Electronic Computers",
}

@Article{Braess:1965:MIG,
  author =       "Dietrich Braess",
  title =        "{Monotone Iterationsfolgen bei Gleichungssystemen mit
                 fehlerhaften Koeffizienten und
                 Iterationsbeschleunigung}. ({German}) [{Monotone}
                 Iteration Sequences for Equation Systems with
                 Coefficients Having Errors, and Iteration
                 Acceleration]",
  journal =      j-NUM-MATH,
  volume =       "7",
  number =       "1",
  pages =        "32--41",
  month =        feb,
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Mon Oct 18 01:28:20 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
  language =     "German",
}

@Article{Bulirsch:1965:NCEa,
  author =       "R. Bulirsch",
  title =        "Numerical calculation of elliptic integrals and
                 elliptic functions",
  journal =      j-NUM-MATH,
  volume =       "7",
  number =       "1",
  pages =        "78--90",
  month =        feb,
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Oct 18 20:10:40 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Handbook Series Special functions",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Bulirsch:1965:NCEb,
  author =       "R. Bulirsch",
  title =        "Numerical calculation of elliptic integrals and
                 elliptic functions. {II}",
  journal =      j-NUM-MATH,
  volume =       "7",
  number =       "4",
  pages =        "353--354",
  month =        aug,
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Oct 17 16:12:48 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Christiansen:1965:APE,
  author =       "S. Christiansen",
  title =        "{Algol} programming: Error Integral with Complex
                 Argument",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "5",
  number =       "4",
  pages =        "287--293",
  month =        dec,
  year =         "1965",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01937509",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:09 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=5&issue=4;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=5&issue=4&spage=287",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: A 75-line Algol procedure with maximum
                 absolute error about $2 \times 10^{-6}$ is given for
                 $w(z) = e^{-z^2} \erfc(-iz)$.",
}

@Article{Cochran:1965:ZHF,
  author =       "J. A. Cochran",
  title =        "The zeros of {Hankel} functions as functions of their
                 order",
  journal =      j-NUM-MATH,
  volume =       "7",
  number =       "3",
  pages =        "238--250",
  month =        jun,
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Oct 18 10:06:00 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Cody:1965:CAC,
  author =       "W. J. {Cody, Jr.}",
  title =        "{Chebyshev} Approximations for the Complete Elliptic
                 Integrals {$K$} and {$E$}",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "89--92",
  pages =        "105--112",
  month =        apr,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65.05",
  MRnumber =     "30\#1601",
  bibdate =      "Fri Oct 23 11:10:16 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Cody:1966:CCA}.",
  URL =          "http://www.jstor.org/stable/2004103",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Relative errors down to $4 \times
                 10^{-18}$.",
}

@Article{Cody:1965:CPE,
  author =       "W. J. {Cody, Jr.}",
  title =        "{Chebyshev} Polynomial Expansions of Complete Elliptic
                 Integrals",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "89--92",
  pages =        "249--259",
  month =        apr,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65.25",
  MRnumber =     "31\#2820",
  bibdate =      "Fri Oct 23 11:10:33 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.jstor.org/stable/2003350",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 25-digit approximations.",
}

@Article{Combet:1965:CBT,
  author =       "M. Combet and H. {Van Zonneveld} and L. Verbeek",
  title =        "Computation of the Base Two Logarithm of Binary
                 Numbers",
  journal =      j-IEEE-TRANS-ELEC-COMPUT,
  volume =       "EC-14",
  number =       "6",
  pages =        "863--867",
  month =        dec,
  year =         "1965",
  CODEN =        "IEECA8",
  DOI =          "http://dx.doi.org/10.1109/PGEC.1965.264080",
  ISSN =         "0367-7508",
  bibdate =      "Thu Jul 14 06:26:41 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038605",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Electronic Computers",
}

@Article{Dahlquist:1965:CAP,
  author =       "Germund Dahlquist and Sven-{\AA}ke Gustafson and
                 K{\'a}roly Sikl{\'o}si",
  title =        "Convergence Acceleration from the Point of View of
                 Linear Programming",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "5",
  number =       "1",
  pages =        "1--16",
  month =        mar,
  year =         "1965",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01975719",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  bibdate =      "Wed Jan 4 18:52:08 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=5&issue=1;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=5&issue=1&spage=1",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Fettis:1965:CEI,
  author =       "Henry E. Fettis",
  title =        "Calculation of Elliptic Integrals of the Third Kind by
                 Means of {Gauss}' Transformation",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "89",
  pages =        "97--104",
  month =        apr,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2004102",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Fields:1965:RAG,
  author =       "Jerry L. Fields",
  title =        "Rational Approximations to Generalized Hypergeometric
                 Functions",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "92",
  pages =        "606--624",
  month =        oct,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Franke:1965:NEE,
  author =       "Charles H. Franke",
  title =        "Numerical Evaluation of the Elliptic Integral of the
                 Third Kind (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "91",
  pages =        "494--496",
  month =        jul,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Fraser:1965:SMC,
  author =       "W. Fraser",
  title =        "A Survey of Methods for Computing Minimax and
                 Near-Minimax Polynomial Approximations for Functions of
                 a Single Independent Variable",
  journal =      j-J-ACM,
  volume =       "12",
  number =       "3",
  pages =        "295--314",
  month =        jul,
  year =         "1965",
  CODEN =        "JACOAH",
  DOI =          "http://doi.acm.org/10.1145/321281.321282",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  bibdate =      "Thu Nov 03 08:47:50 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Methods are described for the derivation of minimax
                 and near-minimax polynomial approximations. For minimax
                 approximations techniques are considered for both
                 analytically defined functions and functions defined by
                 a table of values. For near-minimax approximations
                 methods of determining the coefficients of the
                 Fourier--Chebyshev expansion are first described. These
                 consist of the rearrangement of the coefficients of a
                 power polynomial, and also direct determination of the
                 coefficients from the integral which defines them, or
                 the differential equation which defines the function.
                 Finally there is given a convenient modification of an
                 interpolation scheme which finds coefficients of a
                 near-minimax approximation without requiring numerical
                 integration or the numerical solution of a system of
                 equations.",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1965:ALF,
  author =       "W. Gautschi",
  title =        "{Algorithm 259}: {Legendre} Functions for Arguments
                 Larger than One [{S16}]",
  journal =      j-CACM,
  volume =       "8",
  number =       "8",
  pages =        "488--492",
  month =        aug,
  year =         "1965",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:01 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Jansen:1977:RLF}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Legendre functions; special functions",
  remark =       "Fullerton: Long Algol procedures for the associated
                 Legendre functions of the first and second kinds:
                 $P_a^n(x)$ and $Q_n^m$.",
}

@Article{Gunn:1965:ASa,
  author =       "J. H. Gunn",
  title =        "{Algorithm 260}: {6-$J$} symbols",
  journal =      j-CACM,
  volume =       "8",
  number =       "8",
  pages =        "492--492",
  month =        aug,
  year =         "1965",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:01 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Short Algol procedure.",
}

@Article{Gunn:1965:ASb,
  author =       "J. H. Gunn",
  title =        "{Algorithm 261}: {9-$J$} symbols",
  journal =      j-CACM,
  volume =       "8",
  number =       "8",
  pages =        "492--493",
  month =        aug,
  year =         "1965",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:01 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Short Algol procedure.",
}

@Article{Gunn:1965:AZV,
  author =       "J. H. Gunn",
  title =        "{Algorithm 252} [{Z}]: {Vector} coupling or
                 {Clebsch--Gordan} coefficients",
  journal =      j-CACM,
  volume =       "8",
  number =       "4",
  pages =        "217--217",
  month =        apr,
  year =         "1965",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:19:59 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Short Algol procedure.",
}

@Article{Heatley:1965:ETT,
  author =       "A. H. Heatley",
  title =        "An Extension of the Table of the {Toronto} Function
                 (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "89",
  pages =        "118--123",
  month =        apr,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Some 5 and 7-digit values.",
}

@Article{James:1965:GSR,
  author =       "Wendy James and P. Jarratt",
  title =        "The Generation of Square Roots on a Computer with
                 Rapid Multiplication Compared with Division (in
                 {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "91",
  pages =        "497--500",
  month =        jul,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nj # " and " # ack-nhfb,
}

@Article{Kazangapov:1965:REF,
  author =       "A. N. Kazangapov",
  title =        "Representation of elementary function in the system of
                 residual classes. ({Russian})",
  journal =      "Izv. Akad. Nauk Kazah. SSR Ser. Fiz.-Mat. Nauk",
  volume =       "3",
  pages =        "79--84",
  year =         "1965",
  MRclass =      "65.25",
  MRnumber =     "33 \#5090",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{King:1965:LED,
  author =       "R. King",
  title =        "Letter to the {Editor}: On the Double-Precision Square
                 Root Routine",
  journal =      j-CACM,
  volume =       "8",
  number =       "4",
  pages =        "202",
  month =        apr,
  year =         "1965",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Thu Sep 1 10:15:43 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
  keywords =     "$\sqrt(x)$; elementary functions; floating-point
                 arithmetic",
}

@Book{Lyusternik:1965:HCE,
  author =       "L. A. Lyusternik and O. A. Chervonenkis and A. R.
                 Yanpol{\'s}kii",
  title =        "Handbook for Computing Elementary Functions",
  volume =       "76",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "xiii + 251",
  year =         "1965",
  LCCN =         "QA221.L513",
  MRclass =      "65.25",
  MRnumber =     "32 \#584",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Translated from the Russian by G. J. Tee. Translation
                 edited by K. L. Stewart.",
  series =       "International series of monographs on pure and applied
                 mathematics",
  acknowledgement = ack-nhfb,
}

@Article{Maklovic:1965:IIC,
  author =       "S. T. Maklovi{\v{c}}",
  title =        "Investigation of integrals containing {Bessel} and
                 elementary functions. ({Russian})",
  journal =      "Ki{\v{s}}inev. Gos. Univ. U{\v{c}}en. Zap.",
  volume =       "82",
  pages =        "75--81",
  year =         "1965",
  MRclass =      "33.25",
  MRnumber =     "34 \#387",
  MRreviewer =   "H. A. Lauwerier",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Markman:1965:RZF,
  author =       "B. Markman",
  title =        "The {Riemann} Zeta Function",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "5",
  number =       "2",
  pages =        "138--141",
  year =         "1965",
  bibdate =      "Sat Oct 30 08:53:17 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: A 25-line Algol procedure for evaluating
                 $\zeta(s)$ for all $s \neq 1$ is given.",
}

@Article{Medhurst:1965:EI,
  author =       "R. G. Medhurst and J. H. Roberts",
  title =        "Evaluation of the Integral ${I}_n(b) = \frac{2}{\pi}
                 \int^\infty_0 \bigg(\frac{\sin x}{x}\bigg)^n \cos (bx)
                 dx$",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "89",
  pages =        "113--117",
  month =        apr,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Metze:1965:MSR,
  author =       "Gernot Metze",
  title =        "Minimal Square Rooting",
  journal =      j-IEEE-TRANS-ELEC-COMPUT,
  volume =       "EC-14",
  number =       "2",
  pages =        "181--185",
  month =        apr,
  year =         "1965",
  CODEN =        "IEECA8",
  DOI =          "http://dx.doi.org/10.1109/PGEC.1965.263963",
  ISSN =         "0367-7508",
  bibdate =      "Thu Jul 14 06:26:22 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038397",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Electronic Computers",
}

@Article{Miller:1965:ASF,
  author =       "G. F. Miller",
  title =        "Algorithms for Special Functions {II}",
  journal =      j-NUM-MATH,
  volume =       "7",
  pages =        "194--196",
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Fri Sep 16 10:22:10 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Corrections and simplifications of the
                 $\sin$, $\cos$ and $\tan$ routines given in paper I.
                 See Clenshaw (1963).",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Nemeth:1965:CEF,
  author =       "G. N{\'e}meth",
  title =        "{Chebyshev} expansions for {Fresnel} integrals",
  journal =      j-NUM-MATH,
  volume =       "7",
  number =       "4",
  pages =        "310--312",
  month =        aug,
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Oct 17 20:47:18 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Two series of 12-digit coefficients are
                 given to cover the range $0 \leq x < \infty$.",
}

@Article{Slepian:1965:EAP,
  author =       "David Slepian and Estelle Sonnenblick",
  title =        "Eigenvalues associated with prolate spheroidal wave
                 functions of zero order",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "44",
  number =       "8",
  pages =        "1745--1759",
  month =        oct,
  year =         "1965",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  MRclass =      "65.25",
  MRnumber =     "0183103 (32 \#585)",
  MRreviewer =   "R. Nicolovius",
  bibdate =      "Tue Nov 9 11:15:55 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1965/BSTJ.1965.4408.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol44/bstj44-8-1745.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Article{Slepian:1965:SAE,
  author =       "David Slepian",
  title =        "Some Asymptotic Expansions for Prolate Spheroidal Wave
                 Functions",
  journal =      "J. Math. and Physics {XLIV(2)}",
  volume =       "??",
  number =       "??",
  pages =        "99--140",
  month =        jun,
  year =         "1965",
  bibdate =      "Sat Oct 30 10:46:38 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.ams.org/mathscinet/search/publications.html?pg1=IID&s1=189661",
  acknowledgement = ack-nhfb,
  author-dates = "1923--2007",
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Several complicated expansions are derived
                 and presented.",
}

@Article{Swarztrauber:1965:LED,
  author =       "P. N. Swarztrauber",
  title =        "Letter to the {Editor}: On the Double-Precision Square
                 Root Routine",
  journal =      j-CACM,
  volume =       "8",
  number =       "4",
  pages =        "202",
  month =        apr,
  year =         "1965",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Wed Aug 31 14:02:19 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  keywords =     "$\sqrt(x)$; elementary functions; floating-point
                 arithmetic",
}

@Article{Thompson:1965:AEI,
  author =       "G. T. Thompson",
  title =        "The Asymptotic Expansion of the Integrals Psi and Chi
                 in Terms of {Tchebycheff} Polynomials (in {Technical
                 Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "19",
  number =       "92",
  pages =        "661--663",
  month =        oct,
  year =         "1965",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Doppler Broadening",
}

@Article{Cody:1966:CCA,
  author =       "W. J. {Cody, Jr.}",
  title =        "Corrigenda: ``{Chebyshev} Approximations for the
                 Complete Elliptic Integrals ${K}$ and ${E}$''",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "93",
  pages =        "207--207",
  month =        jan,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Fri Oct 23 11:13:58 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Cody:1965:CAC}.",
  acknowledgement = ack-nhfb,
}

@Article{Doring:1966:CZC,
  author =       "Boro Doring",
  title =        "Complex Zeros of Cylinder Functions",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "94",
  pages =        "215--222",
  month =        apr,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Fike:1966:SAS,
  author =       "C. T. Fike",
  title =        "Starting Approximations for Square Root Calculation on
                 {IBM System\slash 360}",
  journal =      j-CACM,
  volume =       "9",
  number =       "4",
  pages =        "297--299",
  month =        apr,
  year =         "1966",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:05 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See letter \cite{Fike:1967:LER}.",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  keywords =     "$\sqrt(x)$; elementary functions; IBM S/360",
}

@Article{Filippi:1966:BEE,
  author =       "S. Filippi",
  title =        "{Die Berechnung einiger elementarer transzendenter
                 Funktionen mit Hilfe des Richardson-Algorithmus}
                 \toenglish {The Computation of Some Elementary
                 Transcendental Functions by Means of the {Richardson}
                 Algorithm} \endtoenglish",
  journal =      j-COMPUTING,
  volume =       "1",
  number =       "2",
  pages =        "127--132",
  month =        jun,
  year =         "1966",
  CODEN =        "CMPTA2",
  DOI =          "http://dx.doi.org/10.1007/BF02342622",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Fri Sep 16 16:30:40 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Gautschi:1966:AD,
  author =       "Walter Gautschi",
  title =        "{Algorithm 282}: {Derivatives} of $e^x/x$,
                 $\cos(x)/x$, and $\sin(x)/x$",
  journal =      j-CACM,
  volume =       "9",
  number =       "4",
  pages =        "272--272",
  month =        apr,
  year =         "1966",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:05 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Gautschi:1970:RAD}.",
  acknowledgement = ack-nhfb,
  keywords =     "$\cos(x)/x$; $\sin(x)/x$; $e^x/x$; elementary
                 functions",
}

@Article{Gautschi:1966:ARC,
  author =       "Walter Gautschi",
  title =        "{Algorithm 292}: {Regular} {Coulomb} Wave Functions",
  journal =      j-CACM,
  volume =       "9",
  number =       "11",
  pages =        "793--795",
  month =        nov,
  year =         "1966",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:10 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Coulomb wave functions; special functions",
}

@Article{Glasser:1966:ESI,
  author =       "M. L. Glasser",
  title =        "Evaluation of Some Integrals Involving the
                 $\psi$-Function (in {Technical Notes and Short
                 Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "94",
  pages =        "332--333",
  month =        apr,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Gustafson:1966:CAM,
  author =       "Sven-{\AA}ke Gustafson",
  title =        "Convergence Acceleration by Means of Numerical
                 Quadrature",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "6",
  number =       "2",
  pages =        "117--128",
  month =        jun,
  year =         "1966",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933103",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  bibdate =      "Wed Jan 4 18:52:09 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=6&issue=2;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=6&issue=2&spage=117",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Hastings:1966:RCB,
  author =       "C. W. Hastings",
  title =        "{R66-78} Computation of the Base Two Logarithm of
                 Binary Number",
  journal =      j-IEEE-TRANS-ELEC-COMPUT,
  volume =       "EC-15",
  number =       "6",
  pages =        "956--957",
  month =        dec,
  year =         "1966",
  CODEN =        "IEECA8",
  DOI =          "http://dx.doi.org/10.1109/PGEC.1966.264517",
  ISSN =         "0367-7508",
  bibdate =      "Thu Jul 14 05:46:46 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038956",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Electronic Computers",
}

@Book{Jurimae:1966:KFT,
  author =       "E. J{\"u}rim{\"a}e",
  title =        "Kompleksmuutuja funktsioonide teooria. {I}:
                 Elementaarsed funktsioonid. ({Estonian}) [Theory of
                 functions of a complex variable. {I}: Elementary
                 functions]",
  publisher =    "Tartu Riiklik {\"U}likool",
  address =      "Tartu, Estonia",
  pages =        "131",
  year =         "1966",
  MRclass =      "30.00",
  MRnumber =     "40 \#5827a",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Kogbetliantz:1966:GEF,
  author =       "E. G. Kogbetliantz",
  title =        "Generation of Elementary Functions",
  crossref =     "Ralston:1960:MMD",
  pages =        "7--35",
  year =         "1966",
  bibdate =      "Sat Dec 09 14:09:27 1995",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@TechReport{Kuki:1966:CAE,
  author =       "H. Kuki",
  title =        "Comments on the {ANL} Evaluation of the {OS\slash 360
                 FORTRAN} Math Function Library",
  type =         "????",
  number =       "SSD 169, C4773",
  institution =  "SHARE Secretary Distribution",
  address =      "????",
  pages =        "47--53",
  year =         "1966",
  bibdate =      "Wed Feb 14 19:13:50 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Larssen:1966:CAC,
  author =       "Gerhard Meidell Larssen",
  title =        "Certification of {Algorithm 56}: {Complete} elliptic
                 integral of the second kind",
  journal =      j-CACM,
  volume =       "9",
  number =       "1",
  pages =        "12--12",
  month =        jan,
  year =         "1966",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:04 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Mechel:1966:CMB,
  author =       "Fr. Mechel",
  title =        "Calculation of the Modified {Bessel} Functions of the
                 Second Kind with Complex Argument",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "95",
  pages =        "407--412",
  month =        jul,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Nellis:1966:REE,
  author =       "W. J. Nellis and B. C. Carlson",
  title =        "Reduction and Evaluation of Elliptic Integrals",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "94",
  pages =        "223--231",
  month =        apr,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Pike:1966:ALG,
  author =       "M. C. Pike and I. D. Hill",
  title =        "{Algorithm 291}: {Logarithm} of Gamma Function",
  journal =      j-CACM,
  volume =       "9",
  number =       "9",
  pages =        "684--684",
  month =        sep,
  year =         "1966",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:09 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "$\log(\Gamma(x))$; special functions",
  remark =       "Fullerton: Short Algol procedure valid only for $x >
                 0$. Accurate to 10 digits.",
}

@Book{Slater:1966:GHF,
  author =       "Lucy Joan Slater",
  title =        "Generalized hypergeometric functions",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xiii + 273",
  year =         "1966",
  LCCN =         "QA351 .S565",
  bibdate =      "Sat Oct 30 21:01:55 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Hypergeometric functions",
}

@Article{Takenaga:1966:EIG,
  author =       "Roy Takenaga",
  title =        "On the Evaluation of the Incomplete Gamma Function (in
                 {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "96",
  pages =        "606--610",
  month =        oct,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Thompson:1966:ESI,
  author =       "Rory Thompson",
  title =        "Evaluation of ${I}_n(b) = 2\pi^{-1} \int^\infty_0
                 \big(\frac{sin x}{x}\big) ^n \cos (bx) dx$ and of
                 Similar Integrals (in {Technical Notes and Short
                 Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "94",
  pages =        "330--332",
  month =        apr,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Wood:1966:DBI,
  author =       "Van E. Wood and R. P. Kenan and M. L. Glasser",
  title =        "{Doppler} Broadening Integrals (in {Technical Notes
                 and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "20",
  number =       "96",
  pages =        "610--611",
  month =        oct,
  year =         "1966",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Anonymous:1967:CAP,
  author =       "Anonymous",
  title =        "Convergence acceleration from the point of view of
                 linear programming",
  journal =      j-BIT,
  volume =       "7",
  number =       "3",
  pages =        "256--256",
  month =        sep,
  year =         "1967",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01939269",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  bibdate =      "Wed Jan 4 18:52:10 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=7&issue=3;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=7&issue=3&spage=256",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Bond:1967:AAF,
  author =       "Gillian Bond and M. L. V. Pitteway",
  title =        "{Algorithm 301}: {Airy} Function",
  journal =      j-CACM,
  volume =       "10",
  number =       "5",
  pages =        "291--292",
  month =        may,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:13 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Airy functions; special functions",
  remark =       "Fullerton: 100-line Algol program for
                 $\operatorname{Ai}$, $\operatorname{Bi}$. and their
                 derivatives.",
}

@Article{Cody:1967:CAN,
  author =       "W. J. Cody and K. E. Hillstrom",
  title =        "{Chebyshev} Approximations for the Natural Logarithm
                 of the Gamma Function",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "98",
  pages =        "198--203",
  month =        apr,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Relative errors down to $10^{-17}$.",
}

@Article{Cody:1967:CRC,
  author =       "W. J. Cody and Henry C. {Thacher, Jr.}",
  title =        "Corrigendum: ``{Rational Chebyshev approximations for
                 Fermi--Dirac integrals of orders $-1/2$, $1/2$, and
                 $3/2$''}",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "99",
  pages =        "525--525",
  month =        jul,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Mon Sep 26 19:36:03 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Cody:1967:RCA}.",
  URL =          "http://www.jstor.org/stable/2003289",
  acknowledgement = ack-nhfb,
  xxmonth =      "(none)",
}

@Article{Cody:1967:RCA,
  author =       "W. J. Cody and Henry C. {Thacher, Jr.}",
  title =        "Rational {Chebyshev} approximations for {Fermi--Dirac}
                 integrals of orders $-1/2$, $1/2$, and $3/2$",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "97",
  pages =        "30--40",
  month =        jan,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Mon Sep 26 19:23:19 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Cody:1967:CRC}.",
  URL =          "http://www.jstor.org/stable/2003468",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Relative errors down to $10^{-9}$.",
}

@Article{DiDonato:1967:ECI,
  author =       "A. R. DiDonato and M. P. Jarnagin",
  title =        "The Efficient Calculation of the Incomplete
                 Beta-Function Ratio for Half-Integer Values of the
                 Parameters $a, b$",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "100",
  pages =        "652--662",
  month =        oct,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Fair:1967:RAI,
  author =       "Wyman G. Fair and Yudell L. Luke",
  title =        "Rational Approximations to the Incomplete Elliptic
                 Integrals of the First and Second Kinds",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "99",
  pages =        "418--422",
  month =        jul,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Fettis:1967:MCI,
  author =       "Henry E. Fettis",
  title =        "More on the Calculation of the Integral ${I}_n(b) =
                 \frac{2}{\pi}\int^\infty_0\big(\frac{\sin x}{x}\big)^n
                 \cos bx dx$ (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "100",
  pages =        "727--730",
  month =        oct,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Fike:1967:LER,
  author =       "C. T. Fike",
  title =        "Letter to the {Editor}: {A} rational approximation
                 optimal by {Moursund}'s criterion",
  journal =      j-CACM,
  volume =       "10",
  number =       "11",
  pages =        "683--684",
  month =        nov,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:16 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Moursund:1967:OSV,Fike:1966:SAS}",
  acknowledgement = ack-nhfb,
  keywords =     "elementary function; square root",
  remark =       "Gives a starting value for $\sqrt{x}$ ($x$ on
                 $[1/16,1]$) of $R*(x) = 1.68212586 - 1.28977371 / (x +
                 0.84106293)$, with an error of $2^{-12.496}$.",
}

@Article{Friedland:1967:AAV,
  author =       "Paul Friedland",
  title =        "{Algorithm 312}: {Absolute} Value and Square Root of a
                 Complex Number",
  journal =      j-CACM,
  volume =       "10",
  number =       "10",
  pages =        "665--665",
  month =        oct,
  year =         "1967",
  CODEN =        "CACMA2",
  DOI =          "http://dx.doi.org/10.1145/363717.363780",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:15 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  keywords =     "$\abs(z)$; $\sqrt(z)$; elementary functions",
}

@Article{Gunn:1967:ACW,
  author =       "J. H. Gunn",
  title =        "{Algorithm 300}: {Coulomb} Wave Functions",
  journal =      j-CACM,
  volume =       "10",
  number =       "4",
  pages =        "244--245",
  month =        apr,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:12 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Vos:1973:RAC}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Coulomb wave functions; special functions",
  remark =       "Fullerton: 150-line Algol procedure that is superceded
                 by other routines in the physics literature.",
}

@Article{Hill:1967:ACS,
  author =       "I. D. Hill and M. C. Pike",
  title =        "{Algorithm 299}: {Chi}-Squared Integral",
  journal =      j-CACM,
  volume =       "10",
  number =       "4",
  pages =        "243--244",
  month =        apr,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:12 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Hill:1985:RCS,elLozy:1976:RAC}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "chi-squared; probability functions",
  remark =       "Fullerton: Short Algol procedure.",
}

@Article{Hill:1967:ANCa,
  author =       "I. D. Hill and S. A. Joyce",
  title =        "{Algorithm 304}: {Normal} Curve Integral",
  journal =      j-CACM,
  volume =       "10",
  number =       "6",
  pages =        "374--375",
  month =        jun,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:13 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "{\tt normal(x,upper)} calculates the curve, i.e., tail
                 area of the standardized normal curve, i.e.,
                 $(1/\sqrt{2\pi})\int \exp(-t^2/2)\,dt$. If {\tt upper}
                 is {\tt true}, the limits of integration are $x$ and
                 $\infty$. If {\tt upper} is {\tt false}, the limits of
                 integration are $-\infty$ and $x$.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "probability functions",
  remark =       "Fullerton: 75-line Algol procedure that is superceded
                 by numerous $\erf$ routines.",
}

@Article{Hill:1967:RAS,
  author =       "I. D. Hill and S. A. Joyce",
  title =        "Remarks on {Algorithm 123} [{S15}]: {Real} error
                 function, {\tt ERF(x)}; {Algorithm 180} [{S15}]:
                 {Error} Function --- Large ${X}$; {Algorithm 181}
                 [{S15}]: {Complementary} Error Function --- Large
                 ${X}$; {Algorithm 209} [{S15}]: {Gauss}; {Algorithm
                 226} [{S15}]: {Normal} Distribution Function;
                 {Algorithm 272} [{S15}]: {Procedure} for the Normal
                 Distribution Functions; {Algorithm 304} [{S15}]:
                 {Normal} Curve Integral",
  journal =      j-CACM,
  volume =       "10",
  number =       "6",
  pages =        "377--378",
  month =        jun,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:13 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "$\erf(x)$; $\erfc(x)$; probability functions; special
                 functions",
}

@Article{Kilpatrick:1967:CIP,
  author =       "J. E. Kilpatrick and Shigetoshi Katsura and Yuji
                 Inoue",
  title =        "Calculations of Integrals of Products of {Bessel}
                 Functions",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "99",
  pages =        "407--412",
  month =        jul,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Knuth:1967:CTE,
  author =       "Donald E. Knuth and Thomas J. Buckholtz",
  title =        "Computation of Tangent, {Euler}, and {Bernoulli}
                 Numbers",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "100",
  pages =        "663--688",
  month =        oct,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65.25",
  MRnumber =     "36 #4787",
  bibdate =      "Fri Mar 22 18:03:29 MST 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database; MathSciNet database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The first 119. 120 and 250 tangent, Euler
                 and Bernoulli numbers, respectively.",
}

@Book{MacRobert:1967:SHE,
  author =       "Thomas Murray MacRobert and Ian Naismith Sneddon",
  title =        "Spherical harmonics; an elementary treatise on
                 harmonic functions, with applications",
  volume =       "98",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  edition =      "Third",
  pages =        "xviii + 349",
  year =         "1967",
  LCCN =         "QA406 .M3 1967",
  bibdate =      "Sat Oct 30 21:22:03 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "International series of monographs in pure and applied
                 mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "1884--1962",
  subject =      "Spherical harmonics",
}

@Article{Moody:1967:ADF,
  author =       "William T. Moody",
  title =        "Approximations for the Psi (Digamma) Function (in
                 Technical Notes and Short Notices)",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "97",
  pages =        "112--112",
  month =        jan,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Moursund:1967:OSV,
  author =       "David G. Moursund",
  title =        "Optimal starting values for {Newton--Raphson}
                 calculation of $\sqrt{x}$",
  journal =      j-CACM,
  volume =       "10",
  number =       "7",
  pages =        "430--432",
  month =        jul,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65.25",
  MRnumber =     "39\#2297",
  bibdate =      "Fri Nov 25 18:20:14 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See letter \cite{Fike:1967:LER}.",
  acknowledgement = ack-nhfb,
  keywords =     "$sqrt(x)$; elementary functions",
  remark =       "Title of article has incorrect $\sqrt(x^{1/2})$: the
                 article discusses computation of {\tt sqrt(x)}.",
}

@Article{Olver:1967:BSS,
  author =       "F. W. J. Olver",
  title =        "Bounds for the Solutions of Second-Order Linear
                 Difference Equations [{Anger--Weber} and {Struve}
                 Functions]",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "71B",
  number =       "4",
  pages =        "161--166",
  month =        oct,
  year =         "1967",
  bibdate =      "Sat Oct 30 09:37:44 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Research of the National Bureau of
                 Standards",
  remark =       "Fullerton: Truncation error estimates of an earlier
                 published algorithm.",
}

@Article{Pike:1967:RAI,
  author =       "M. C. Pike and I. D. Hill",
  title =        "Remark on {Algorithm 179}: {Incomplete} {Beta} ratio",
  journal =      j-CACM,
  volume =       "10",
  number =       "6",
  pages =        "375--376",
  month =        jun,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:13 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "$B(z,w)$; beta function; special functions",
  remark =       "Fullerton: Corrections to an Algol procedure.",
}

@Article{Pitteway:1967:RAA,
  author =       "M. L. V. Pitteway",
  title =        "Remark on {Algorithm 301}: {Airy} function",
  journal =      j-CACM,
  volume =       "10",
  number =       "7",
  pages =        "453--453",
  month =        jul,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:14 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Airy functions; special functions",
  remark =       "Fullerton: Corrections to an Algol procedure.",
}

@Book{Sen:1967:TSF,
  author =       "Bibhutibhusan Sen",
  title =        "A treatise on special functions, for scientists and
                 engineers",
  publisher =    "Allied Publishers",
  address =      "Bombay, India",
  pages =        "164",
  year =         "1967",
  LCCN =         "QA351 .S45",
  bibdate =      "Fri Oct 29 21:30:38 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Functions, Special; Spherical harmonics",
}

@Article{Verma:1967:NSG,
  author =       "Arun Verma",
  title =        "A Note on the Summation of the Generalised
                 Hypergeometric Functions (in {Technical Notes and Short
                 Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "98",
  pages =        "232--236",
  month =        apr,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Wigner:1967:BRW,
  author =       "Eugene P. Wigner",
  title =        "Book Review: {Wilhelm Magnus, Fritz Oberhettinger, and
                 R. P. Soni, \booktitle{Formulas and Theorems for the
                 Special Functions of Mathematical Physics}}",
  journal =      j-PHYS-TODAY,
  volume =       "20",
  number =       "12",
  pages =        "81--81",
  month =        dec,
  year =         "1967",
  CODEN =        "PHTOAD",
  DOI =          "http://dx.doi.org/10.1063/1.3034082",
  ISSN =         "0031-9228 (print), 1945-0699 (electronic)",
  ISSN-L =       "0031-9228",
  bibdate =      "Sat Jul 28 07:53:52 MDT 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.physicstoday.org/search",
  URL =          "http://link.aip.org/link/phtoad/v20/i12/p81/s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Today",
}

@Article{Wood:1967:CEI,
  author =       "Van E. Wood",
  title =        "{Chebyshev} Expansions for Integrals of the Error
                 Function (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "99",
  pages =        "494--496",
  month =        jul,
  year =         "1967",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 7-digit approximations for $i^n \erfc(x), n
                 = 1, 2$.",
}

@Article{Anonymous:1968:ISA,
  author =       "Anonymous",
  title =        "Index by Subject to Algorithms, 1960--1968",
  journal =      j-CACM,
  volume =       "11",
  number =       "12",
  pages =        "827--830",
  month =        dec,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Sat Oct 30 09:29:34 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Book{Arsenin:1968:BES,
  author =       "V. Ja. (Vasilii Jakovlevich) Arsenin",
  title =        "Basic equations and special functions of mathematical
                 physics",
  publisher =    "Iliffe",
  address =      "London, UK",
  pages =        "7 + 361",
  year =         "1968",
  ISBN =         "0-592-05035-1",
  ISBN-13 =      "978-0-592-05035-5",
  LCCN =         "QC20 .A693",
  bibdate =      "Sat Oct 30 18:25:22 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Translation by S. Chomet, Kings College, London of
                 Matematicheska{\"e}i{\`\i}a fizika.",
  acknowledgement = ack-nhfb,
  subject =      "Mathematical physics",
}

@Book{Bell:1968:SFS,
  author =       "W. W. (William Wallace) Bell",
  title =        "Special functions for scientists and engineers",
  publisher =    "Van Nostrand",
  address =      "London, UK",
  pages =        "xiv + 247",
  year =         "1968",
  LCCN =         "QA351 .B4",
  bibdate =      "Fri Oct 29 21:30:38 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Gamma, Beta, Legendre, Bessel, and
                 Hypergeometric functions as well as orthogonal
                 polynomials. Reprinted in \cite{Bell:2004:SFS}.",
  subject =      "Functions, Special",
}

@Article{Bergson:1968:ACR,
  author =       "A. Bergson",
  title =        "Certification of and remark on {Algorithm 304}
                 [{S15}]: {Normal} curve integral",
  journal =      j-CACM,
  volume =       "11",
  number =       "4",
  pages =        "271--271",
  month =        apr,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:19 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "probability functions",
  remark =       "Fullerton: 50-line Algol Program that is superceded by
                 numerous {\tt erf} routines.",
}

@Article{Bingulac:1968:RAA,
  author =       "S. P. Bingulac",
  title =        "{R68-38} Accurate Analog Computer Generation of
                 {Bessel} Functions for Large Ranges",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-17",
  number =       "8",
  pages =        "819--819",
  month =        aug,
  year =         "1968",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1968.229133",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Wed Jul 13 17:40:50 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1687462",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Chiarella:1968:EIR,
  author =       "C. Chiarella and A. Reichel",
  title =        "On the Evaluation of Integrals Related to the Error
                 Function",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "101",
  pages =        "137--143",
  month =        jan,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Cody:1968:RCAa,
  author =       "W. J. Cody and H. C. {Thacher, Jr.}",
  title =        "Rational {Chebyshev} approximations for the
                 exponential integral {$E_1(x)$}",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "103",
  pages =        "641--649",
  month =        jul,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65.25",
  MRnumber =     "38\#6745",
  bibdate =      "Wed Jan 17 08:57:34 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Relative errors down to $10^{-21}$.",
}

@Article{Dorrer:1968:ADS,
  author =       "Egon Dorrer",
  title =        "{Algorithm 322}: {$F$}-Distribution [{S14}]",
  journal =      j-CACM,
  volume =       "11",
  number =       "2",
  pages =        "116--117",
  month =        feb,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:18 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 50-line Algol Program.",
}

@Book{Fike:1968:CEM,
  author =       "C. T. Fike",
  title =        "Computer Evaluation of Mathematical Functions",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xii + 227",
  year =         "1968",
  LCCN =         "QA297 .F5",
  bibdate =      "Thu Sep 1 10:12:51 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Fleckner:1968:MCF,
  author =       "Oscar L. Fleckner",
  title =        "A Method for the Computation of the {Fresnel}
                 Integrals and Related Functions",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "103",
  pages =        "635--640",
  month =        jul,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Galant:1968:HAG,
  author =       "D. C. Galant and P. F. Byrd",
  title =        "High Accuracy Gamma Function Values for Some Rational
                 Arguments (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "104",
  pages =        "885--887",
  month =        oct,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Book{Hart:1968:CAa,
  author =       "John F. Hart and E. W. Cheney and Charles L. Lawson
                 and Hans J. Maehly and Charles K. Mesztenyi and John R.
                 Rice and Henry G. {Thatcher, Jr.} and Christoph
                 Witzgall",
  title =        "Computer Approximations",
  publisher =    pub-REK,
  address =      pub-REK:adr,
  pages =        "x + 343",
  year =         "1968",
  ISBN =         "0-88275-642-7",
  ISBN-13 =      "978-0-88275-642-4",
  LCCN =         "QA 297 C64 1978",
  bibdate =      "Tue Dec 14 22:55:11 1993",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Reprinted 1978 with corrections.",
  acknowledgement = ack-nhfb,
}

@Book{Hart:1968:CAb,
  author =       "John F. Hart and E. W. Cheney and Charles L. Lawson
                 and Hans J. Maehly and Charles K. Mesztenyi and John R.
                 Rice and Henry G. {Thatcher, Jr.} and Christoph
                 Witzgall",
  title =        "Computer Approximations",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "x + 343",
  year =         "1968",
  ISBN =         "0-471-35630-1",
  ISBN-13 =      "978-0-471-35630-1",
  LCCN =         "????",
  bibdate =      "Sat Jan 14 14:53:06 2006",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Luke:1968:AEI,
  author =       "Yudell L. Luke",
  title =        "Approximations for Elliptic Integrals",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "103",
  pages =        "627--634",
  month =        jul,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Mavromatis:1968:IFP,
  author =       "H. A. Mavromatis and K. Schilcher",
  title =        "Inverse Functions of the Products of Two {Bessel}
                 Functions and Applications to Potential Scattering",
  journal =      j-J-MATH-PHYS,
  volume =       "9",
  number =       "10",
  pages =        "1627--1632",
  month =        oct,
  year =         "1968",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.1664492",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 28 11:55:17 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1965.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v9/i10/p1627_s1",
  acknowledgement = ack-nhfb,
  classification = "A0380 (General theory of scattering)",
  corpsource =   "Dept. Physics, American Univ. Beirut, Lebanon",
  keywords =     "functions; mathematics; scattering",
  onlinedate =   "28 October 2003",
  pagecount =    "6",
}

@Article{Mechel:1968:IRT,
  author =       "Fr. Mechel",
  title =        "Improvement in Recurrence Techniques for the
                 Computation of {Bessel} Functions of Integral Order (in
                 {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "101",
  pages =        "202--205",
  month =        jan,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Book{Miller:1968:LTS,
  author =       "Willard Miller",
  title =        "{Lie} theory and special functions",
  volume =       "43",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xv + 338",
  year =         "1968",
  ISBN =         "0-12-497450-3",
  ISBN-13 =      "978-0-12-497450-0",
  LCCN =         "QA387 .M55 1968eb",
  bibdate =      "Sat Oct 30 19:07:04 MDT 2010",
  bibsource =    "catalog.library.cornell.edu:7090/voyager;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Mathematics in science and engineering",
  acknowledgement = ack-nhfb,
  remark =       "Reprinted 1979 with same ISBN.",
  subject =      "Lie groups; Functions, Special",
}

@Article{Nagashima:1968:EFN,
  author =       "Takashi Nagashima",
  title =        "On elementary functions of natural numbers",
  journal =      "Hitotsubashi J. Arts Sci.",
  volume =       "9",
  pages =        "50--58",
  year =         "1968",
  ISSN =         "0073-2788",
  MRclass =      "02.72",
  MRnumber =     "MR0232678 (38 \#1001)",
  MRreviewer =   "R. L. Goodstein",
  bibdate =      "Mon Oct 24 11:33:08 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Hitotsubashi Journal of Arts \&amp; Sciences",
}

@Article{Ng:1968:DSS,
  author =       "Edward W. Ng",
  title =        "On the direct summation of series involving higher
                 transcendental functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "3",
  number =       "2",
  pages =        "334--338",
  month =        oct,
  year =         "1968",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(68)90029-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sat Dec 31 07:21:24 MST 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999168900296",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{OBrien:1968:CAC,
  author =       "William M. O'Brien and Joan Wood",
  title =        "Certification of {Algorithm 299} [{S15}]:
                 {Chi-squared} integral",
  journal =      j-CACM,
  volume =       "11",
  number =       "4",
  pages =        "271--271",
  month =        apr,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:19 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "chi-squared; probability functions",
  remark =       "Fullerton: Corrections to an Algol procedure.",
}

@Article{Osborn:1968:IBF,
  author =       "David Osborn and Richard Madey",
  title =        "The Incomplete Beta Function and its Ratio to the
                 Complete Beta Function",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "101",
  pages =        "159--162",
  month =        jan,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Richardson:1968:SUP,
  author =       "Daniel Richardson",
  title =        "Some Undecidable Problems Involving Elementary
                 Functions of a Real Variable",
  journal =      j-J-SYMBOLIC-LOGIC,
  volume =       "33",
  number =       "4",
  pages =        "514--520",
  month =        dec,
  year =         "1968",
  CODEN =        "JSYLA6",
  ISSN =         "0022-4812 (print), 1943-5886 (electronic)",
  MRclass =      "02.75",
  MRnumber =     "39 #1330",
  bibdate =      "Mon May 19 13:04:20 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/hilbert10.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Schmidt:1968:AEK,
  author =       "Jochen W. Schmidt",
  title =        "{Asymptotische Einschlie{\ss}ung bei
                 konvergenzbeschleunigenden Verfahren. II}. ({German})
                 [{Asymptotic enclosure with convergence acceleration
                 method. II}]",
  journal =      j-NUM-MATH,
  volume =       "11",
  number =       "1",
  pages =        "53--56",
  month =        jan,
  year =         "1968",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Sun Oct 17 16:12:48 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
  language =     "German",
}

@Article{Strecok:1968:CIE,
  author =       "Anthony J. Strecok",
  title =        "On the Calculation of the Inverse of the Error
                 Function",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "101",
  pages =        "144--158",
  month =        jan,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2004772",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 18-digit approximations.",
}

@Book{Talman:1968:SFG,
  author =       "James D. Talman",
  title =        "Special Functions: {A} Group Theoretic Approach Based
                 on Lectures by {Eugene P. Wigner}",
  publisher =    pub-BENJAMIN,
  address =      pub-BENJAMIN:adr,
  pages =        "xii + 260",
  year =         "1968",
  LCCN =         "????",
  bibdate =      "Sat Oct 30 16:57:02 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "With an introduction by Eugene P. Wigner.",
  series =       "The mathematical physics monograph series",
  acknowledgement = ack-nhfb,
  keywords =     "group theory; mathematical function; special
                 functions",
}

@Article{Tooper:1968:SCP,
  author =       "Robert F. Tooper and John Mark",
  title =        "Simplified Calculation of {$\operatorname{Ei}(x)$} for
                 Positive Arguments, and a Short Table of
                 $\operatorname{Shi}(x)$ (in {Technical Notes and Short
                 Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "102",
  pages =        "448--449",
  month =        apr,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "exponential integral ($\operatorname{Ei}(x)$);
                 hyperbolic sine integral ($\operatorname{Shi}(x)$)",
}

@Article{Wilcox:1968:ZTN,
  author =       "Peter H. Wilcox",
  title =        "The Zeros of ${P}^1_\nu (\cos \theta)$ and
                 $\frac{\partial}{\partial \theta} {P}^1_\mu (\cos
                 \theta)$ (in {Technical Notes and Short Papers})",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "101",
  pages =        "205--208",
  month =        jan,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2004783",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: $P_\nu^1$ are Legendre functions.",
}

@Article{Wimp:1968:RFH,
  author =       "Jet Wimp",
  title =        "Recursion Formulae of Hypergeometric Functions",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "102",
  pages =        "363--373",
  month =        apr,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Witte:1968:AAJ,
  author =       "B. F. W. Witte",
  title =        "{ACM Algorithm 332}: {Jacobi} Polynomials",
  journal =      j-CACM,
  volume =       "11",
  number =       "6",
  pages =        "436--437",
  month =        jun,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Thu Sep 08 09:33:08 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Skovgaard:1975:RAJ}.",
  acknowledgement = ack-nhfb,
}

@Article{Wrench:1968:CTS,
  author =       "John W. {Wrench, Jr.}",
  title =        "Concerning Two Series for the Gamma Function",
  journal =      j-MATH-COMPUT,
  volume =       "22",
  number =       "103",
  pages =        "617--626",
  month =        jul,
  year =         "1968",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRnumber =     "MR 0237078 (38:5371)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Aharoni:1969:C,
  author =       "Amikam Aharoni",
  title =        "Computation of {$K_p(x)$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "4",
  number =       "2",
  pages =        "270--271",
  month =        aug,
  year =         "1969",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(69)90072-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 08:28:03 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1960.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999169900722",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Boersma:1969:ECW,
  author =       "J. Boersma",
  title =        "Expansions for {Coulomb} Wave Functions",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "105",
  pages =        "51--59",
  month =        jan,
  year =         "1969",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Book{Buchholz:1969:CHF,
  author =       "Herbert Buchholz",
  title =        "The confluent hypergeometric function with special
                 emphasis on its applications",
  volume =       "15",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xviii + 238",
  year =         "1969",
  LCCN =         "QA351 .B813",
  bibdate =      "Sat Oct 30 21:06:31 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Translation by H. Lichtblau and K. Wetzel to English
                 from German ``Die konfluente hypergeometrische
                 Funktion.''",
  series =       "Springer tracts in natural philosophy",
  acknowledgement = ack-nhfb,
  subject =      "Hypergeometric functions",
}

@Article{Bulirsch:1969:EBT,
  author =       "R. Bulirsch",
  title =        "An extension of the {Bartky}-transformation to
                 incomplete elliptic integrals of the third kind",
  journal =      j-NUM-MATH,
  volume =       "13",
  number =       "3",
  pages =        "266--284",
  month =        jul,
  year =         "1969",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Oct 17 19:01:15 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Bulirsch:1969:NCE,
  author =       "R. Bulirsch",
  title =        "Numerical calculation of elliptic integrals and
                 elliptic functions. {III}",
  journal =      j-NUM-MATH,
  volume =       "13",
  number =       "4",
  pages =        "305--315",
  month =        aug,
  year =         "1969",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Oct 17 19:01:15 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Carlson:1969:CBE,
  author =       "B. C. Carlson",
  title =        "A connection between elementary functions and higher
                 transcendental functions",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "17",
  pages =        "116--148",
  year =         "1969",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  MRclass =      "33.20 (30.00)",
  MRnumber =     "40 \#408",
  MRreviewer =   "S. K. Bose",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Clark:1969:SCE,
  author =       "N. W. Clark and W. J. Cody",
  title =        "Self-contained exponentiation",
  crossref =     "AFIPS:1969:ACPb",
  pages =        "701--706",
  year =         "1969",
  bibdate =      "Wed Sep 07 10:49:33 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Clemm:1969:ACV,
  author =       "Donald S. Clemm",
  title =        "{Algorithm 352}: {Characteristic} Values and
                 Associated Solutions of {Mathieu}'s Differential
                 Equation [{S22}]",
  journal =      j-CACM,
  volume =       "12",
  number =       "7",
  pages =        "399--407",
  month =        jul,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:27 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Frisch:1972:RAR}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4170 (Differential equations); C7300 (Natural
                 sciences computing)",
  corpsource =   "Wright-Patterson Air Force Base, USA",
  keywords =     "differential equations; function evaluation;
                 subroutines",
  remark =       "Fullerton: Long set of FORTRAN routines to evaluate
                 Mathieu functions as well as several Bessel
                 functions.",
}

@Article{Cobb:1969:CAS,
  author =       "S. M. Cobb",
  title =        "Certification of {Algorithm 47} [{S16}]: {Associated}
                 {Legendre} functions of the first kind for real or
                 imaginary arguments",
  journal =      j-CACM,
  volume =       "12",
  number =       "11",
  pages =        "635--636",
  month =        nov,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:28 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "associated Legendre functions of the first kind;
                 special functions",
  remark =       "Fullerton: Numerous additional corrections and changes
                 to an Algol procedure.",
}

@Article{Cody:1969:CAE,
  author =       "W. J. Cody and Henry C. {Thacher, Jr.}",
  title =        "{Chebyshev} Approximations for the Exponential
                 Integral {$\hbox{Ei}(x)$}",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "106",
  pages =        "289--303",
  month =        apr,
  year =         "1969",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65.25",
  MRnumber =     "39\#3680",
  bibdate =      "Wed Jan 17 08:57:33 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cody:1969:CRA,
  author =       "W. J. Cody and G. Meinardus and R. S. Varga",
  title =        "{Chebyshev} rational approximations to $e^{-x}$ on
                 $[0,\infty)$ and applications to heat conduction
                 problems",
  journal =      j-J-APPROX-THEORY,
  volume =       "2",
  number =       "??",
  pages =        "50--65",
  month =        "??",
  year =         "1969",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  MRclass =      "65.67 (41.00)",
  MRnumber =     "40\#999",
  bibdate =      "Wed Jan 17 08:57:33 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-wjc,
}

@Article{Farkas:1969:CAS,
  author =       "I. Farkas",
  title =        "Certification of {Algorithm 165} [{S21}]: {Complete}
                 elliptic integrals",
  journal =      j-CACM,
  volume =       "12",
  number =       "1",
  pages =        "38--38",
  month =        jan,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:24 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "special functions",
}

@Article{Gautschi:1969:ACE,
  author =       "Walter Gautschi",
  title =        "{Algorithm 363}: {Complex} Error Function [{S15}]",
  journal =      j-CACM,
  volume =       "12",
  number =       "11",
  pages =        "635--635",
  month =        nov,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:28 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See certification \cite{Kolbig:1972:CAC}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "$\erf(z)$; special functions",
  remark =       "Fullerton: 50-line Algol procedure with accuracy to 10
                 decimal places.",
}

@Article{Gautschi:1969:RAS,
  author =       "Walter Gautschi",
  title =        "Remark on {Algorithm 292} [{S22}]: {Regular} {Coulomb}
                 wave functions",
  journal =      j-CACM,
  volume =       "12",
  number =       "5",
  pages =        "280--280",
  month =        may,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:26 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Coulomb wave functions; special functions",
  remark =       "Fullerton: The first of many remarks.",
}

@Article{Herman:1969:NHE,
  author =       "G. T. Herman",
  title =        "A new hierarchy of elementary functions",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "20",
  pages =        "557--562",
  year =         "1969",
  CODEN =        "PAMYAR",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "02.77",
  MRnumber =     "40 \#4110",
  MRreviewer =   "G. E. Sacks",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Holzwarth:1969:VBB,
  author =       "A. Holzwarth",
  title =        "{Ein Verfahren zur Bestimmung bester
                 Tscheb\-y\-scheff-Ap\-prox\-i\-ma\-tion\-en der
                 Quadratwurzelfunktion}. ({German}) {A Method for
                 Determination of Best Chebyshev Approximations to the
                 Square Root Function}",
  journal =      j-COMPUTING,
  volume =       "4",
  number =       "2",
  pages =        "168--177",
  month =        jun,
  year =         "1969",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Tue Jan 2 17:40:51 MST 2001",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  affiliation =  "T{\"u}bingen, West Germany",
  classification = "C4130",
  description =  "Chebyshev approximation; numerical analysis",
  fjournal =     "Computing",
  language =     "German",
}

@Article{King:1969:LEN,
  author =       "Richard F. King and David L. Phillips",
  title =        "The Logarithmic Error and {Newton}'s Method for the
                 Square Root",
  journal =      j-CACM,
  volume =       "12",
  number =       "2",
  pages =        "87--88",
  month =        feb,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65.50",
  MRnumber =     "44\#2333",
  bibdate =      "Fri Nov 25 18:20:24 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4120 (Functional analysis)",
  corpsource =   "Argonne Nat. Lab., Argonne, IL, USA",
  keywords =     "$\sqrt(x)$; elementary functions; function evaluation;
                 iterative methods",
}

@Article{Kolbig:1969:CASa,
  author =       "K. S. K{\"o}lbig",
  title =        "Certification of {Algorithm 292} [{S22}]: {Regular}
                 {Coulomb} wave functions and of remark on {Algorithm
                 292} [{S22}]: {Regular} {Coulomb} wave functions",
  journal =      j-CACM,
  volume =       "12",
  number =       "5",
  pages =        "278--279",
  month =        may,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:26 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Coulomb wave functions; special functions",
  remark =       "Fullerton: Tests of an Algol procedure.",
}

@Article{Kolbig:1969:CASb,
  author =       "K. S. K{\"o}lbig",
  title =        "Certification of {Algorithm 300} [{S22}]: {Coulomb}
                 wave functions",
  journal =      j-CACM,
  volume =       "12",
  number =       "5",
  pages =        "279--280",
  month =        may,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:26 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Coulomb wave functions; special functions",
  remark =       "Fullerton: The first of many remarks.",
}

@Article{Kolbig:1969:RAS,
  author =       "K. S. K{\"o}lbig",
  title =        "Remark on {Algorithm 300} [{S22}]: {Coulomb} wave
                 functions",
  journal =      j-CACM,
  volume =       "12",
  number =       "12",
  pages =        "692--692",
  month =        dec,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:29 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Coulomb wave functions; special functions",
  remark =       "Fullerton: One of many remarks.",
}

@Article{Lewis:1969:FII,
  author =       "Richard L. Lewis",
  title =        "On Finite Integrals Involving Trigonometric, {Bessel},
                 and {Legendre} Functions",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "106",
  pages =        "259--273",
  month =        apr,
  year =         "1969",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Book{Luke:1969:SFTa,
  author =       "Yudell L. Luke",
  title =        "The Special Functions and Their Approximations",
  volume =       "I",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xx + 349",
  year =         "1969",
  ISBN =         "0-12-459901-X",
  ISBN-13 =      "978-0-12-459901-7",
  LCCN =         "QA351 .L94 1969",
  bibdate =      "Wed Dec 15 17:55:35 1993",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Mathematics in Science and Engineering, Volume 53-I,
                 Editor: Richard Bellman",
  acknowledgement = ack-nhfb,
}

@Book{Luke:1969:SFTb,
  author =       "Yudell L. Luke",
  title =        "The Special Functions and Their Approximations",
  volume =       "II",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xx + 485",
  year =         "1969",
  ISBN =         "0-12-459902-8",
  ISBN-13 =      "978-0-12-459902-4",
  LCCN =         "QA351 .L797",
  bibdate =      "Wed Dec 15 17:55:38 1993",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Mathematics in Science and Engineering, Volume 53-II,
                 Editor: Richard Bellman",
  acknowledgement = ack-nhfb,
}

@TechReport{Moses:1969:ICS,
  author =       "Joel Moses",
  title =        "The integration of a class of special functions with
                 the {Risch} algorithm",
  type =         "{AI} Memo (180)",
  number =       "MAC-M-421",
  institution =  "Artificial Intelligence Laboratory, Massachusetts
                 Institute of Technology",
  address =      "Cambridge, MA, USA",
  pages =        "13 + 1",
  year =         "1969",
  LCCN =         "Q334 M533 no. 180",
  bibdate =      "Sat Oct 30 18:37:28 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ng:1969:CPE,
  author =       "Edward W. Ng and C. J. Devine and R. F. Tooper",
  title =        "{Chebyshev} Polynomial Expansion of {Bose--Einstein}
                 Functions of Orders $1$ to $10$",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "107",
  pages =        "639--643",
  month =        jul,
  year =         "1969",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: $B_p(\eta) = \frac{1}{\Gamma(p - 1)}
                 \int_0^\infty \frac{x^p}{e^{x - \eta} - 1} \, dt$.
                 Relative errors down to $3 \times 10^{-19}$.",
}

@Article{Reichel:1969:IPV,
  author =       "Alex Reichel",
  title =        "The Integral of the $n$th Power of the {Voigt}
                 Function",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "107",
  pages =        "645--649",
  month =        jul,
  year =         "1969",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The function $\chi_n(t) =
                 \int_{-\infty}^\infty \{ U_0(x, t) \}^n \, dx$, where
                 $U_0(x, t) = \frac{1}{\sqrt{4 \pi t}} \frac{\exp[-(x -
                 y)^2 / 4 t]}{1 + y^2} \, dy$ is considered.",
}

@Article{Robertson:1969:CNC,
  author =       "G. H. Robertson",
  title =        "Computation of the Noncentral Chi-Square
                 Distribution",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "48",
  number =       "1",
  pages =        "201--207",
  month =        jan,
  year =         "1969",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  bibdate =      "Tue Nov 9 11:15:55 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1969/BSTJ.1969.4801.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol48/bstj48-1-201.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Article{Sollfrey:1969:IFP,
  author =       "William Sollfrey",
  title =        "Inverse Functions of the Products of Two {Bessel}
                 Functions",
  journal =      j-J-MATH-PHYS,
  volume =       "10",
  number =       "8",
  pages =        "1429--1430",
  month =        aug,
  year =         "1969",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.1664985",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 28 11:55:26 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1965.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v10/i8/p1429_s1",
  acknowledgement = ack-nhfb,
  classification = "A0200 (Mathematical methods in physics)",
  corpsource =   "RAND Corp., Santa Monica, CA, USA",
  keywords =     "functions",
  onlinedate =   "4 November 2003",
  pagecount =    "2",
}

@Article{TadeudeMedeiros:1969:APF,
  author =       "Adilson {Tadeu de Medeiros} and Georges Schwachheim",
  title =        "{Algorithm 349}: {Polygamma} Functions with Arbitrary
                 Precision [{S14}]",
  journal =      j-CACM,
  volume =       "12",
  number =       "4",
  pages =        "213--214",
  month =        apr,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Nov 25 18:20:25 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See certification \cite{Lewis:1975:CPF}.",
  abstract =     "This procedure assigns to polygam the value of the
                 polygamma function of order n for any real argument
                 $z$. For $n = 0$, we have the psi or digamma function,
                 for $n = 1$ the trigamma function, for $n = 2$ the
                 tetragamma function, and so on.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C7300 (Natural sciences computing)",
  corpsource =   "Centro Brasileiro de Pesquisas Fisicas, Rio de
                 Janeiro, Brazil",
  keywords =     "digamma function; mathematics; polygamma function; psi
                 function; special functions; subroutines; tetragamma
                 function; trigamma function",
  remark =       "Fullerton: 150-line Algol procedure.",
}

@InProceedings{Tesler:1969:AEF,
  author =       "G. S. Tesler",
  booktitle =    "Mathematical provisioning of electronic digital
                 computers and effective organization of the computing
                 process (Proc. Sem., Kiev, 1969) ({Russian}), No. 2",
  title =        "The approximation of elementary functions by means of
                 polynomials of degree zero and one. ({Russian})",
  publisher =    "Akad. Nauk Ukrain. SSR",
  address =      "Kiev, USSR",
  pages =        "75--88",
  year =         "1969",
  MRclass =      "65D15",
  MRnumber =     "45 \#4600",
  MRreviewer =   "I. Selihova",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Turner:1969:DSC,
  author =       "L. R. Turner",
  title =        "Difficulty in {$\sin$\slash$\cos$} Routine",
  journal =      j-SIGNUM,
  volume =       "4",
  number =       "3",
  pages =        "13--13",
  year =         "1969",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  bibdate =      "Thu Feb 15 15:23:23 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{VandeVel:1969:SEM,
  author =       "H. {Van de Vel}",
  title =        "On the Series Expansion Method for Computing
                 Incomplete Elliptic Integrals of the First and Second
                 Kinds",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "105",
  pages =        "61--69",
  month =        jan,
  year =         "1969",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Zaker:1969:CCE,
  author =       "T. A. Zaker",
  title =        "Calculation of the complementary error function of
                 complex argument",
  journal =      j-J-COMPUT-PHYS,
  volume =       "4",
  number =       "3",
  pages =        "427--430",
  month =        oct,
  year =         "1969",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(69)90011-4",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Thu Dec 04 16:20:39 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1960.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bray:1970:CAR,
  author =       "T. Bray",
  title =        "Certification of {Algorithm 22, Ricatti--Bessel
                 Functions of First and Second Kind}",
  journal =      j-CACM,
  volume =       "13",
  number =       "7",
  pages =        "448--448",
  month =        jul,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Fri Oct 29 21:49:15 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: An error in an Algol procedure is
                 reported.",
}

@Article{Carlitz:1970:SRF,
  author =       "L. Carlitz",
  title =        "Some Reduction Formulas for Generalized Hypergeometric
                 Functions",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "1",
  number =       "2",
  pages =        "243--245",
  month =        may,
  year =         "1970",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  bibdate =      "Sun Nov 28 19:21:58 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/1/2;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
}

@Article{Chen:1970:CGI,
  author =       "Reuven Chen",
  title =        "On the Computation of the Generalized Integral in Glow
                 Curve Theory",
  journal =      j-J-COMPUT-PHYS,
  volume =       "6",
  number =       "2",
  pages =        "314--316",
  month =        oct,
  year =         "1970",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(70)90027-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Fri Oct 29 22:09:19 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Computational Physics",
}

@Article{Cochran:1970:NTF,
  author =       "James Alan Cochran and Judith N. Hoffspiegel",
  title =        "Numerical Techniques for Finding $\nu$-Zeros of
                 {Hankel} Functions",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "110",
  pages =        "413--422",
  month =        apr,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Cody:1970:CAC,
  author =       "W. J. Cody and K. E. Hillstrom",
  title =        "{Chebyshev} Approximations for the {Coulomb} Phase
                 Shift",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "111",
  pages =        "671--677",
  month =        jul,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65.25",
  MRnumber =     "42\#8661",
  bibdate =      "Wed Jan 17 08:57:04 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-wjc,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Relative errors down to $4 \times
                 10^{-19}$.",
}

@Article{Cody:1970:RAC,
  author =       "W. J. Cody and Kathleen A. Paciorek",
  title =        "Remark on {Algorithm} 292 [{S22}]: Regular {Coulomb}
                 Wave Functions",
  journal =      j-CACM,
  volume =       "13",
  number =       "9",
  pages =        "573",
  month =        sep,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Wed Nov 16 23:58:51 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-wjc,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: More modifications to an Algol procedure.",
}

@Article{Darlington:1970:AAA,
  author =       "Sidney Darlington",
  title =        "Analytical Approximations to Approximations in the
                 {Chebyshev} Sense",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "49",
  number =       "1",
  pages =        "1--32",
  month =        jan,
  year =         "1970",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  bibdate =      "Tue Nov 9 11:15:55 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1970/BSTJ.1970.4901.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol49/bstj49-1-1.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@TechReport{DeLugish:1970:CAA,
  author =       "Bruce Gene DeLugish",
  title =        "A Class of Algorithms for Automatic Evaluation of
                 Certain Elementary Functions in a Binary Computer",
  number =       "399",
  institution =  "Department of Computer Science, University of Illinois
                 at Urbana-Champaign",
  address =      "Urbana, Illinois",
  pages =        "191",
  year =         "1970",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1970:RAD,
  author =       "Walter Gautschi and Bruce J. Klein",
  title =        "Remark on {Algorithm 282, Derivatives of $e^x / x$,
                 $\cos(x) / x$, and $\sin(x) / x$}",
  journal =      j-CACM,
  volume =       "13",
  number =       "1",
  pages =        "53--54",
  month =        jan,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Sat Oct 30 07:27:17 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Gautschi:1966:AD}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Corrections are given for several Algol
                 procedures.",
}

@Article{Gautschi:1970:RCC,
  author =       "Walter Gautschi and Bruce J. Klein",
  title =        "Recursive computation of certain derivatives --- {A}
                 study of error propagation",
  journal =      j-CACM,
  volume =       "13",
  number =       "1",
  pages =        "7--9",
  month =        jan,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  MRclass =      "65Q05",
  MRnumber =     "46 1115",
  MRreviewer =   "D. F. Mayers",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "A brief study is made of the propagation of errors in
                 linear first-order difference equations. The recursive
                 computation of successive derivatives of $(e^x)/x$ and
                 $(\cos x)/x$ is considered as an illustration.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4110 (Error analysis in numerical methods)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  keywords =     "difference equations; error analysis; error
                 propagation; recursive computation; successive
                 derivatives",
  remark =       "Fullerton: Recursive calculation of derivatives of
                 $e^x / x$ and $\cos(x) / x$ is considered.",
}

@Article{Hill:1970:AASa,
  author =       "G. W. Hill",
  title =        "{ACM Algorithm 395}: {Student}'s $t$-Distribution",
  journal =      j-CACM,
  volume =       "13",
  number =       "10",
  pages =        "617--619",
  month =        oct,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{elLozy:1979:RAS,Hill:1981:RSD}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "CSIRO, Glen Osmond, Australia",
  keywords =     "statistics; subroutines",
  remark =       "Fullerton: Description of a 50-line Algol procedure.",
}

@Article{Hill:1970:AASb,
  author =       "G. W. Hill",
  title =        "{ACM Algorithm 396}: {Student}'s $t$-Quantiles",
  journal =      j-CACM,
  volume =       "13",
  number =       "10",
  pages =        "619--620",
  month =        oct,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also
                 \cite{Hill:1981:RSD,Hill:1981:RSQ,elLozy:1979:RAS}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4120 (Functional analysis); C7310 (Mathematics
                 computing)",
  corpsource =   "CSIRO, Glen Osmond, Australia",
  keywords =     "function evaluation; statistics; subroutines",
  remark =       "Fullerton: Description of a 50-line Algol procedure.",
}

@Article{Holmgren:1970:RAN,
  author =       "Bo Holmgren",
  title =        "Remark on {Algorithm 304, Normal Curve Integral}",
  journal =      j-CACM,
  volume =       "13",
  number =       "10",
  pages =        "624--624",
  month =        oct,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Sat Oct 30 08:18:38 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Jones:1970:GHF,
  author =       "Alan L. Jones",
  title =        "The generalized hypergeometric function",
  journal =      j-SIGPLAN,
  volume =       "5",
  number =       "3",
  pages =        "26--27",
  month =        mar,
  year =         "1970",
  CODEN =        "SINODQ",
  ISSN =         "0362-1340 (print), 1523-2867 (print), 1558-1160
                 (electronic)",
  ISSN-L =       "0362-1340",
  bibdate =      "Thu May 25 06:40:57 MDT 2006",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Kolbig:1970:CZI,
  author =       "K. S. Kolbig",
  title =        "Complex Zeros of an Incomplete {Riemann} Zeta Function
                 and of the Incomplete Gamma Function",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "111",
  pages =        "679--696",
  month =        jul,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@TechReport{Lugish:1970:CAA,
  author =       "B. G. de Lugish",
  title =        "A Class of Algorithms for Automatic Evaluation of
                 Certain Elementary Function in a Binary Computer",
  type =         "Report",
  number =       "399",
  institution =  "Department of Computer Science, University of
                 Illinois",
  pages =        "????",
  month =        jun,
  year =         "1970",
  bibdate =      "Fri Sep 02 22:49:20 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Luke:1970:FAE,
  author =       "Yudell L. Luke",
  title =        "Further Approximations for Elliptic Integrals",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "109",
  pages =        "191--198",
  month =        jan,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Minton:1970:GHF,
  author =       "Barry M. Minton",
  title =        "Generalized Hypergeometric Function of Unit Argument",
  journal =      j-J-MATH-PHYS,
  volume =       "11",
  number =       "4",
  pages =        "1375--1376",
  month =        apr,
  year =         "1970",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.1665270",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 28 16:39:25 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v11/i4/p1375_s1",
  acknowledgement = ack-nhfb,
  classification = "A0200 (Mathematical methods in physics)",
  corpsource =   "Univ. Calgary, Alta., Canada",
  keywords =     "functions",
  onlinedate =   "28 October 2003",
  pagecount =    "2",
}

@Article{Ng:1970:CAE,
  author =       "E. N. Ng",
  title =        "Certification of {Algorithm 385, Exponential Integral
                 {$\operatorname{Ei}(x)$}}",
  journal =      j-CACM,
  volume =       "13",
  number =       "7",
  pages =        "448--449",
  month =        jul,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Sat Oct 30 09:18:14 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Comments on a FORTRAN routine.",
}

@Article{Ng:1970:CDF,
  author =       "E. W. Ng and C. J. Devine",
  title =        "On the Computation of {Debye} Functions of Integer
                 Orders",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "110",
  pages =        "405--407",
  month =        apr,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Debye functions are incomplete Riemann zeta
                 functions. $\overbar{D}_p(x) = \frac{1}{\Gamma(p - 1)}
                 \int_0^x \frac{t^p}{e^t - 1} \, dt$ and the
                 complementary integral are calculated to 20 digits.",
}

@Article{Ninomiya:1970:BRS,
  author =       "Ichizo Ninomiya",
  title =        "Best Rational Starting Approximations and Improved
                 {Newton} Iteration for the Square Root",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "110",
  pages =        "391--404",
  month =        apr,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Nagoya Univ., Chikua ku, Japan",
  keywords =     "computing procedure; function approximation; iterative
                 methods; Newton iteration; rational approximation;
                 square root",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Paciorek:1970:AEI,
  author =       "K. A. Paciorek",
  title =        "{Algorithm 385}: {Exponential} Integral
                 {$\operatorname{Ei}(x)$}",
  journal =      j-CACM,
  volume =       "13",
  number =       "7",
  pages =        "446--447",
  month =        jul,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Redish:1970:RAE,Frisch:1972:RAR}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4160 (Numerical integration and differentiation);
                 C7300 (Natural sciences computing)",
  corpsource =   "Argonne Nat. Lab., IL, USA",
  keywords =     "integration; subroutines",
  remark =       "Fullerton: A 100-line FORTRAN routine for both
                 $\operatorname{E1}(x)$ and $\operatorname{Ei}(x)$.",
}

@Article{Raff:1970:CGF,
  author =       "Morton S. Raff",
  title =        "On Calculating the Gamma Function of Non-Integral
                 Arguments",
  journal =      j-AMER-STAT,
  volume =       "24",
  number =       "2",
  pages =        "22--24",
  month =        apr,
  year =         "1970",
  CODEN =        "ASTAAJ",
  ISSN =         "0003-1305 (print), 1537-2731 (electronic)",
  ISSN-L =       "0003-1305",
  bibdate =      "Fri Jan 27 10:52:18 MST 2012",
  bibsource =    "http://www.jstor.org/journals/00031305.html;
                 http://www.jstor.org/stable/i326364;
                 http://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.jstor.org/stable/2681926",
  acknowledgement = ack-nhfb,
  fjournal =     "The American Statistician",
}

@Article{Redish:1970:RAE,
  author =       "K. A. Redish",
  title =        "Remark on {Algorithm 385, Exponential Integral
                 $\operatorname{Ei}(x)$}",
  journal =      j-CACM,
  volume =       "13",
  number =       "12",
  pages =        "750--750",
  month =        dec,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Sat Oct 30 09:56:59 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Paciorek:1970:AEI}",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Minor corrections to a FORTRAN routine.",
}

@TechReport{Rothmaier:1970:BQN,
  author =       "B. Rothmaier",
  title =        "{Die Berechnung der Quadratwurzel nebst Schranken auf
                 Dualmaschinen} \toenglish {The Computation of the
                 Square Root together with [Interval] Bounds on Binary
                 Machines} \endtoenglish",
  type =         "{Interner Bericht}",
  number =       "Nr. 70/17",
  institution =  "Institut f{\"u}r Informatik, Universit{\"a}t
                 Karlsruhe",
  pages =        "??",
  year =         "1970",
  bibdate =      "Fri Sep 16 16:30:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@TechReport{Rothmaier:1970:DSB,
  author =       "B. Rothmaier",
  title =        "{Dokumentation der Standardfunktionen des
                 Betriebssystems {Hydra X8}} \toenglish {Documentation}
                 of the Elementary Functions of the Operating System
                 {Hydra X8} \endtoenglish",
  type =         "Interner {Bericht}",
  number =       "Nr. 70/8",
  institution =  "Institut f{\"u}r Informatik, Universit{\"a}t
                 Karlsruhe",
  address =      "Karlsruhe, Germany",
  pages =        "????",
  year =         "1970",
  bibdate =      "Fri Jun 11 12:37:53 1999",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Smith:1970:ASH,
  author =       "Robert R. Smith and Dennis McCall",
  title =        "{Algorithm 392}: {Systems} of Hyperbolic {P.D.E.}",
  journal =      j-CACM,
  volume =       "13",
  number =       "9",
  pages =        "567--570",
  month =        sep,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Frisch:1972:RAR}.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4170 (Differential equations); C7310 (Mathematics
                 computing)",
  corpsource =   "US Naval Electronics Lab. Center, San Diego, CA, USA",
  keywords =     "boundary-value problems; partial differential
                 equations",
}

@Article{Squire:1970:RAI,
  author =       "William Squire",
  title =        "A Rational Approximation to an Integral Appearing in
                 Glow Curve Theory",
  journal =      j-J-COMPUT-PHYS,
  volume =       "6",
  number =       "1",
  pages =        "152--253",
  month =        aug,
  year =         "1970",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(70)90016-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sat Oct 30 10:57:00 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Computational Physics",
}

@Article{Srivastava:1970:CRI,
  author =       "H. M. Srivastava",
  title =        "Certain Results Involving Generalized Hypergeometric
                 Functions",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "1",
  number =       "1",
  pages =        "75--81",
  month =        feb,
  year =         "1970",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  bibdate =      "Sun Nov 28 19:21:56 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/1/1;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
}

@Article{Stegun:1970:ACM,
  author =       "I. A. Stegun and R. Zucker",
  title =        "Automatic Computing Methods for Special Functions.
                 Part 1. {Error}, Probability, and Related Functions",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "74B",
  number =       "3",
  pages =        "211--224",
  month =        jul,
  year =         "1970",
  bibdate =      "Sat Oct 30 10:58:39 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Adjustable double precision FORTRAN
                 routines for $\erf$ and $\erfc$.",
}

@Article{Wilson:1970:OSA,
  author =       "M. Wayne Wilson",
  title =        "Optimal Starting Approximations for Generating Square
                 Root for Slow or No Divide",
  journal =      j-CACM,
  volume =       "13",
  number =       "9",
  pages =        "559--560",
  month =        sep,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65.50",
  MRnumber =     "44\#2338",
  MRreviewer =   "J. E. {Dennis, Jr.}",
  bibdate =      "Tue Apr 08 20:38:30 1997",
  bibsource =    "Compendex database;
                 ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  abstract =     "On computing machines with slow or no division, it is
                 preferable to use an iterative scheme for the square
                 root different from the classical Heron scheme. The
                 problem of optimal initial approximants is considered,
                 and some optimal polynomial initial approximations are
                 tabulated.",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  classcodes =   "C5230 (Digital arithmetic methods)",
  corpsource =   "IBM, Houston, TX, USA",
  journalabr =   "Commun ACM",
  keywords =     "CACMA; digital arithmetic; ele; iterative methods;
                 mathematics; numerical methods; optimisation",
}

@TechReport{Yohe:1970:RBC,
  author =       "J. M. Yohe",
  title =        "Rigorous Bounds on Computed Approximations to Square
                 Roots and Cube Roots",
  type =         "MRC Technical Summary",
  number =       "1088",
  institution =  "University of Wisconsin, Madison",
  year =         "1970",
  bibdate =      "Fri Jan 12 11:37:56 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-jr,
}

@Article{Zill:1970:SEI,
  author =       "D. G. Zill and B. C. Carlson",
  title =        "Symmetric Elliptic Integrals of the Third Kind",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "109",
  pages =        "199--214",
  month =        jan,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Bohan:1971:ADC,
  author =       "K. A. Bohan and K. V. La{\v{s}}{\v{c}}enov",
  title =        "The analytic definition of certain elementary
                 functions. ({Russian}) Questions of modern mathematics
                 and methods of teaching it at institutions of higher
                 learning",
  journal =      "Leningrad. Gos. Ped. Inst. U{\v{c}}en. Zap.",
  volume =       "404",
  pages =        "59--78",
  year =         "1971",
  MRclass =      "26A09",
  MRnumber =     "55 \#10612",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Misc{Chen:1971:BAU,
  author =       "Tien Chi Chen",
  title =        "Binary arithmetic unit implementing a multiplicative
                 iteration for the exponential, logarithm, quotient and
                 square root functions",
  howpublished = "United States Patent 3,631,230",
  day =          "28",
  month =        dec,
  year =         "1971",
  bibdate =      "Tue Jan 08 21:54:11 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.freepatentsonline.com/3631230.html",
  abstract =     "Apparatus and a method is described for efficiently
                 achieving arithmetic evaluations for functions such as
                 exponential, logarithm, quotient, and square root with
                 a minimum use of multiplications or divisions.
                 Basically, use is made of the fact that $x(1\pm2^{-m})$
                 can be evaluated by a shift followed by an add. A pair
                 of numbers $(x_k, y_k)$ can represent a function $x:
                 f(x)= g(x_k, y_k)$, such that $g(l,y_n) = y_n$ for
                 logarithm, quotient and square root. Then,
                 multiplication by shifting is applied to $x_k$ with
                 suitable adjustments on $y_k$, until $x_k$ is close to
                 unity, at which time $y_k$ represents the desired
                 answer. The exponential is computed by essentially
                 reversing the logarithm procedure. A termination
                 algorithm further improves accuracy. The apparatus
                 involves two registers for $x_k$ and $y_k$, a local
                 memory, an adder and a shift register.",
  acknowledgement = ack-nhfb,
}

@Article{Cody:1971:CAR,
  author =       "W. J. Cody and K. E. Hillstrom and Henry C. {Thatcher,
                 Jr.}",
  title =        "{Chebyshev} approximations for the {Riemann} zeta
                 function",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "115",
  pages =        "537--547",
  month =        jul,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "47 2785",
  bibdate =      "Wed Jan 17 08:57:00 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-wjc,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 20-digit approximations for either
                 $\zeta(s)$ or $\zeta(s) - 1$.",
}

@InCollection{Cody:1971:SEF,
  author =       "W. J. Cody",
  title =        "Software for the Elementary Functions",
  crossref =     "Rice:1971:MS",
  pages =        "171--186",
  year =         "1971",
  bibdate =      "Thu Sep 15 18:56:47 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Glasser:1971:CFE,
  author =       "M. L. Glasser and V. E. Wood",
  title =        "A Closed Form Evaluation of the Elliptic Integral",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "115",
  pages =        "535--536",
  month =        jul,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Glasser:1971:EII,
  author =       "M. L. Glasser",
  title =        "An Elliptic Integral Identity",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "115",
  pages =        "533--534",
  month =        jul,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Herman:1971:EDH,
  author =       "G. T. Herman",
  title =        "The equivalence of different hierarchies of elementary
                 functions",
  journal =      "Z. Math. Logik Grundlagen Math.",
  volume =       "17",
  pages =        "219--224",
  year =         "1971",
  MRclass =      "02.77 (68.00)",
  MRnumber =     "44 \#6494",
  MRreviewer =   "D. A. Clarke",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Honey:1971:CCD,
  author =       "D. W. Honey",
  title =        "Correspondence: Calculation of a double-length square
                 root from a double length number using single precision
                 techniques",
  journal =      j-COMP-J,
  volume =       "14",
  number =       "4",
  pages =        "443--443",
  month =        nov,
  year =         "1971",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:51:58 MDT 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compj1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/140443.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_04/tiff/443.tif",
  acknowledgement = ack-nhfb,
}

@Article{Kuki:1971:FEP,
  author =       "H. Kuki and J. Ascoly",
  title =        "{FORTRAN} extended-precision library",
  journal =      j-IBM-SYS-J,
  volume =       "10",
  number =       "1",
  pages =        "39--61",
  year =         "1971",
  CODEN =        "IBMSA7",
  ISSN =         "0018-8670",
  bibdate =      "Thu Sep 15 18:51:32 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ibmsysj.bib",
  acknowledgement = ack-nj,
  xxmonth =      "(none)",
}

@InCollection{Kuki:1971:MFS,
  author =       "H. Kuki",
  title =        "Mathematical Function Subprograms for Basic System
                 Libraries{}\emdash Objectives, Constraints, and
                 Trade-Off",
  crossref =     "Rice:1971:MS",
  pages =        "187--199",
  year =         "1971",
  bibdate =      "Fri Sep 16 16:27:40 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Liron:1971:ISR,
  author =       "N. Liron",
  title =        "Infinite Sums of Roots for a Class of Transcendental
                 Equations and {Bessel} Functions of Order One-Half",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "116",
  pages =        "769--781",
  month =        oct,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Lucas:1971:AAC,
  author =       "C. W. {Lucas, Jr.} and C. W. Terrill",
  title =        "{ACM Algorithm 404}: Complex Gamma Function [{S14}]",
  journal =      j-CACM,
  volume =       "14",
  number =       "1",
  pages =        "48--49",
  month =        jan,
  year =         "1971",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 07:00:03 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm14.html#LucasT71;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4120 (Functional analysis); C7310 (Mathematics
                 computing)",
  corpsource =   "Coll. William and Mary, Williamsburg, VA, USA",
  keywords =     "algorithm; CGAMMA; complex gamma function evaluation;
                 formula; function evaluation; poles of gamma function;
                 recursion formula; reflection; Stirling's asymptotic
                 series; subroutine in ALGOL; subroutines",
  oldlabel =     "LucasT71",
  remark =       "Fullerton: Fortran routine with machine-dependent
                 constants.",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/LucasT71",
}

@Article{Luke:1971:MTBa,
  author =       "Yudell L. Luke",
  title =        "Miniaturized Tables of {Bessel} Functions",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "114",
  pages =        "323--330",
  month =        apr,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Luke:1971:MTBb,
  author =       "Yudell L. Luke",
  title =        "Miniaturized Tables of {Bessel} Functions, {II}",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "116",
  pages =        "789--795",
  month =        oct,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Majithia:1971:CAN,
  author =       "J. C. Majithia and R. Kitai",
  title =        "A Cellular Array for the Nonrestoring Extraction of
                 Square Roots",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-20",
  number =       "12",
  pages =        "1617--1618",
  month =        dec,
  year =         "1971",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/T-C.1971.223191",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Wed Jul 13 06:38:22 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671784",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Matta:1971:UCE,
  author =       "F. Matta and A. Reichel",
  title =        "Uniform Computation of the Error Function and Other
                 Related Functions",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "114",
  pages =        "339--344",
  month =        apr,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Rothmaier:1971:BEF,
  author =       "B. Rothmaier",
  title =        "{Die Berechnung der elementaren Funktionen mit
                 beliebiger Genauigkeit} \toenglish {The Computation of
                 Elementary Functions with Arbitrary Accuracy}
                 \endtoenglish",
  type =         "Dissertation",
  school =       "Universit{\"a}t Karlsruhe",
  address =      "Karlsruhe, Germany",
  pages =        "????",
  year =         "1971",
  bibdate =      "Fri Sep 16 16:30:40 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Sarkar:1971:EPP,
  author =       "B. P. Sarkar and E. V. Krishnamurthy",
  title =        "Economic Pseudodivision Processes for Obtaining Square
                 Root, Logarithm, and Arctan",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-20",
  number =       "12",
  pages =        "1589--1593",
  month =        dec,
  year =         "1971",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/T-C.1971.223178",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Thu Sep 01 10:32:36 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  acknowledgement = ack-nj,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Scarton:1971:DPF,
  author =       "Henry A. Scarton",
  title =        "Double precision {FORTRAN} subroutines to compute both
                 ordinary and modified {Bessel} functions of the first
                 kind and of integer order with arbitrary complex
                 argument: {$J_n(x + j y)$} and {$I_n(x + j y)$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "8",
  number =       "2",
  pages =        "295--299",
  month =        oct,
  year =         "1971",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(71)90010-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:04 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999171900106",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Computational Physics",
}

@Article{Shenton:1971:CFP,
  author =       "L. R. Shenton and K. O. Bowman",
  title =        "Continued Fractions for the Psi Function and its
                 Derivatives",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "20",
  number =       "4",
  pages =        "547--554",
  month =        jun,
  year =         "1971",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  bibdate =      "Thu Oct 15 18:16:06 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2099856",
  acknowledgement = ack-nhfb,
}

@Article{Shipman:1971:HSE,
  author =       "L. L. Shipman and R. E. Christoffersen",
  title =        "High Speed Evaluation of {$F_0(x)$}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "2",
  number =       "4",
  pages =        "201--206",
  month =        may # "\slash " # jun,
  year =         "1971",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(71)90053-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 10:40:08 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465571900531",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
  remark =       "Fullerton: $F_0(x) = \int_0^1 \exp(-x u^2) \, du$,
                 which is simply related to $\erf$ for $x > 0$ and to
                 Dawson's function for $x < 0$.",
}

@Article{Spellucci:1971:DPA,
  author =       "P. Spellucci",
  title =        "Double precision approximations to the elementary
                 functions using {Jacobi-fractions}",
  journal =      j-NUM-MATH,
  volume =       "18",
  pages =        "127--143",
  year =         "1971/1972",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "45 \#7938",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Spira:1971:CGF,
  author =       "Robert Spira",
  title =        "Calculation of the Gamma Function by {Stirling}'s
                 Formula",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "114",
  pages =        "317--322",
  month =        apr,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Sundblad:1971:AFT,
  author =       "Y. Sundblad",
  title =        "The {Ackermann} Function. {A} Theoretical,
                 Computational, and Formula Manipulative Study",
  journal =      j-BIT,
  volume =       "11",
  number =       "1",
  pages =        "107--119",
  month =        mar,
  year =         "1971",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01935330",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:11 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=11&issue=1;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=11&issue=1&spage=107",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Ackermann's function is a recursively
                 defined function of importance to computer science
                 theorists.",
}

@InProceedings{Walther:1971:UAE,
  author =       "J. S. Walther",
  title =        "A unified algorithm for elementary functions",
  crossref =     "AFIPS:1971:ACP",
  volume =       "38",
  pages =        "379--385",
  year =         "1971",
  bibdate =      "Thu Sep 1 10:15:31 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Wills:1971:URR,
  author =       "John G. Wills",
  title =        "On the use of recursion relations in the numerical
                 evaluation of spherical {Bessel} functions and
                 {Coulomb} functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "8",
  number =       "1",
  pages =        "162--166",
  month =        aug,
  year =         "1971",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(71)90043-X",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:04 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199917190043X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Wong:1971:SEI,
  author =       "R. Wong and E. Rosenbloom",
  title =        "Series Expansions of ${W}_{k,m}(z)$ Involving
                 Parabolic Cylinder Functions",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "116",
  pages =        "783--787",
  month =        oct,
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Bardin:1972:CFE,
  author =       "C. Bardin and Y. Dandeu and L. Gauthier and J.
                 Guillermin. T. Lena. J.-M. Pernet and H. H. Wolter and
                 T. Tamura",
  title =        "{Coulomb} Functions in Entire $(\eta, \rho)$ Plane",
  journal =      j-COMP-PHYS-COMM,
  volume =       "3",
  number =       "2",
  pages =        "73--87",
  month =        mar,
  year =         "1972",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(72)90057-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Oct 29 21:09:33 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Book{Bark:1972:MTF,
  author =       "L. S. Bark",
  title =        "{\cyr Mnogoznachnye tablitsy {\`e}lementarnykh
                 funktsi{\u{\i}}} ($\operatorname{sin} x$,
                 $\operatorname{cos} x$, $e^{x}$ {\cyr i} $e^{-x}$).
                 ({Russian}) [Multiplace tables of the elementary
                 functions ($\operatorname{sin}\ x$,
                 $\operatorname{cos}\ x$, $e^{x}$ and $e^{-x}$)]",
  publisher =    "Vy{\v{c}}isl. Centr Akad. Nauk SSSR",
  address =      "Moscow, USSR",
  edition =      "Second, unrevised",
  pages =        "134",
  year =         "1972",
  MRclass =      "65A05",
  MRnumber =     "50 \#6100",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Tables processed and text translated from the English
                 by L. S. Bark. Library of Mathematical Tables, No. 9.
                 1972",
  acknowledgement = ack-nhfb,
}

@Article{Carlson:1972:ACL,
  author =       "B. C. Carlson",
  title =        "An algorithm for computing logarithms and
                 arctangents",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "118",
  pages =        "543--549",
  month =        apr,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Iowa State Univ., Ames, IA, USA",
  keywords =     "acceleration; arctangents; auxiliary; Borchardt's
                 algorithm; convergence; fast; function approximation;
                 functions; inverse circular functions; inverse
                 hyperbolic; iterative algorithm; logarithms; numerical
                 methods; rational operations; recurrence relation;
                 square roots",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Chen:1972:ACE,
  author =       "Tien Chi Chen",
  title =        "Automatic Computation of Exponentials, Logarithms,
                 Ratios and Square Roots",
  journal =      j-IBM-JRD,
  volume =       "16",
  number =       "4",
  pages =        "380--388",
  month =        jul,
  year =         "1972",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "49 \#1738",
  bibdate =      "Tue Mar 25 14:26:59 MST 1997",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.research.ibm.com/journal/rd/164/chen.pdf",
  abstract =     "It is shown how a relatively simple device can
                 evaluate exponentials, logarithms, ratios and square
                 roots for fraction arguments, employing only shifts,
                 adds, high-speed table lookups, and bit counting. The
                 scheme is based on the cotransformation of a number
                 pair $(x, y)$ such that the $F(x, y) = f(x_0)$ is
                 invariant; when $x$ is driven towards a known value
                 $x_w$, $y$ is driven towards the result. For an $N$-bit
                 fraction about $N / 4$ iterations are required, each
                 involving two or three adds; then a termination
                 algorithm, based on an add and an abbreviated multiply,
                 completes the process, for a total cost of about one
                 conventional multiply time. Convergence, errors and
                 simulation using APL are discussed.",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  classcodes =   "C5230 (Digital arithmetic methods)",
  corpsource =   "IBM, San Jose, CA, USA",
  keywords =     "adds; APL; bit counting; convergence;
                 cotransformation; digital arithmetic; errors;
                 exponentials; high speed table; iteration; logarithms;
                 lookups; ratios; shifts; simulation; square roots;
                 termination algorithm",
  reviewer =     "F. Gotze",
  treatment =    "P Practical",
}

@TechReport{Ercegovac:1972:RES,
  author =       "Milos D. Ercegovac",
  title =        "Radix 16 Evaluation of Some Elementary Functions",
  number =       "540",
  institution =  "Department of Computer Science, University of Illinois
                 at Urbana-Champaign",
  address =      "Urbana, Illinois",
  pages =        "30",
  year =         "1972",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Frisch:1972:RAR,
  author =       "Michael J. Frisch",
  title =        "Remark on ``{Algorithms 352, 385, 392}: Remarks on
                 Characteristic Values and Associated Solutions of
                 {Mathieu}'s Differential Equation, Exponential
                 Integral, and Systems of Hyperbolic {P.D.E.}''",
  journal =      j-CACM,
  volume =       "15",
  number =       "12",
  pages =        "1074--??",
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:42:24 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Frisch72;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See
                 \cite{Clemm:1969:ACV,Paciorek:1970:AEI,Smith:1970:ASH}.",
  acknowledgement = ack-nhfb,
  oldlabel =     "Frisch72",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Frisch72",
}

@Article{Fullerton:1972:MIG,
  author =       "W. Fullerton",
  title =        "{ACM Algorithm 435}: Modified Incomplete Gamma
                 Function",
  journal =      j-CACM,
  volume =       "15",
  number =       "11",
  pages =        "993--995",
  month =        nov,
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Thu Sep 08 09:47:55 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Schoene:1978:RMI}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Fortran subprogram for evaluating $e^{x_1}
                 \int_{x_1}^{x_2} |y|^{a - 1} e^{-y} \, dy$ for $a$
                 roughly between $1$ and $2$.",
}

@Article{Hunter:1972:NEC,
  author =       "D. B. Hunter and T. Regan",
  title =        "A note on the evaluation of the complementary error
                 function",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "118",
  pages =        "539--541",
  month =        apr,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4160 (Numerical integration and differentiation)",
  corpsource =   "Univ. Bradford, UK",
  keywords =     "complementary error function; complex variable;
                 evaluation; integration; method of Matta and Reichel;
                 modification; numerical; stability",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Kim:1972:AEH,
  author =       "Shoon K. Kim",
  title =        "The Asymptotic Expansion of a Hypergeometric Function
                 $_2{F}_2(1, \alpha; \rho_1, \rho_2; z)$",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "120",
  pages =        "963--963",
  month =        oct,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Kolbig:1972:CAC,
  author =       "K. S. K{\"o}lbig",
  title =        "Certification of ``{Algorithm 363}: {Complex} error
                 function''",
  journal =      j-CACM,
  volume =       "15",
  number =       "6",
  pages =        "465--466",
  month =        jun,
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:55:38 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kolbig72;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Gautschi:1969:ACE}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4120 (Functional analysis); C7310 (Mathematics
                 computing)",
  corpsource =   "CERN, Geneva, Switzerland",
  keywords =     "$\erf(z)$; complex error function; function
                 evaluation; special functions; subroutines; Voigt
                 function",
  oldlabel =     "Kolbig72",
  remark =       "Fullerton: Corrections and tests of an Algol
                 procedure.",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kolbig72",
}

@Article{Kolbig:1972:PCL,
  author =       "K. S. K{\"o}lbig",
  title =        "Programs for Computing the Logarithm of the Gamma
                 Function, and the Digamma Function, for Complex
                 Argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "4",
  number =       "2",
  pages =        "221--226",
  month =        nov,
  year =         "1972",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(72)90012-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 08:33:42 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Kolbig:1972:RCC,
  author =       "K. S. K{\"o}lbig",
  title =        "Remarks on the Computation of {Coulomb}
                 Wavefunctions",
  journal =      j-COMP-PHYS-COMM,
  volume =       "4",
  number =       "2",
  pages =        "214--220",
  month =        nov,
  year =         "1972",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(72)90011-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 08:35:38 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Kolbig:1972:ZIG,
  author =       "K. S. Kolbig",
  title =        "On the Zeros of the Incomplete Gamma Function",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "119",
  pages =        "751--755",
  month =        jul,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "CERN, Geneva, Switzerland",
  keywords =     "asymptotic formulae; complex w plane; function
                 approximation; incomplete gamma function; poles and
                 zeros; zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Kuki:1972:AAC,
  author =       "Hirondo Kuki",
  title =        "{ACM Algorithm 421}: Complex Gamma Function with Error
                 Control [{S14}]",
  journal =      j-CACM,
  volume =       "15",
  number =       "4",
  pages =        "271--272",
  month =        apr,
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "47 1249",
  MRreviewer =   "L. Fox",
  bibdate =      "Mon Jan 22 06:56:30 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kuki72a;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4130 (Interpolation and function approximation);
                 C7310 (Mathematics computing)",
  corpsource =   "Univ. Chicago, IL, USA",
  keywords =     "algorithm; complex; complex gamma function; complex
                 loggamma; error control; FORTRAN; function; function
                 approximation; loggamma function; programme;
                 subroutines",
  oldlabel =     "Kuki72a",
  remark =       "Fullerton: 100-line FORTRAN routine with double
                 complex accuracy to $10^{-14}$.",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kuki72a",
}

@Article{Kuki:1972:CGF,
  author =       "Hirondo Kuki",
  title =        "Complex Gamma Function with Error Control [{S14}]",
  journal =      j-CACM,
  volume =       "15",
  number =       "4",
  pages =        "262--267",
  month =        apr,
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "47 1249",
  MRreviewer =   "L. Fox",
  bibdate =      "Mon Jan 22 06:56:30 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kuki72a;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4130 (Interpolation and function approximation);
                 C7310 (Mathematics computing)",
  corpsource =   "Univ. Chicago, IL, USA",
  keywords =     "algorithm; complex; complex gamma function; complex
                 loggamma; error control; FORTRAN; function; function
                 approximation; loggamma function; programme;
                 subroutines",
  oldlabel =     "Kuki72a",
  remark =       "Fullerton: Description of a FORTRAN routine with some
                 math details.",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kuki72a",
}

@Book{Lebedev:1972:SFT,
  author =       "N. N. (Nikolai Nikolaevich) Lebedev",
  title =        "Special functions and their applications",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xii + 308",
  year =         "1972",
  ISBN =         "0-486-60624-4 (paperback)",
  ISBN-13 =      "978-0-486-60624-8 (paperback)",
  LCCN =         "QA351 .L3613 1972",
  bibdate =      "Sat Oct 30 16:25:05 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Translated to English and edited by Richard A.
                 Silverman.",
  URL =          "http://www.loc.gov/catdir/description/dover031/72086228.html",
  acknowledgement = ack-nhfb,
  remark =       "Translation of Spe{\"e}t{\`\i}sial\S{}nye
                 funk{\"e}t{\`\i}sii i ikh prilozheni{\"e}i{\`\i}a.",
  subject =      "Functions, Special; Mathematical physics",
}

@Article{Ling:1972:EM,
  author =       "Chih-Bing Ling and Jung Lin",
  title =        "On Evaluation of Moments of ${K}_\nu(t)/{I}_\nu(t)$",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "118",
  pages =        "529--537",
  month =        apr,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4190 (Other numerical methods)",
  corpsource =   "Virginia Politech. Inst., Blacksburg, VA, USA",
  keywords =     "evaluation; K/sub nu/(t)/I/sub; moments; nu/(t);
                 numerical methods; Watson's method",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Linz:1972:MCB,
  author =       "Peter Linz",
  title =        "A Method for Computing {Bessel} Function Integrals",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "118",
  pages =        "509--513",
  month =        apr,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4160 (Numerical integration and differentiation)",
  corpsource =   "Univ. California, Davis, CA, USA",
  keywords =     "Abel; Bessel function integrals; Fourier integrals;
                 infinite integrals; integration; numerical computation;
                 transform",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Luke:1972:MTB,
  author =       "Yudell L. Luke",
  title =        "Miniaturized Tables of {Bessel} Functions. {III}",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "117",
  pages =        "237--240",
  month =        jan,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4190 (Other numerical methods)",
  corpsource =   "Univ. Missouri, Kansas City, KS, USA",
  keywords =     "Bessel functions; miniaturized tables; numerical
                 methods",
  treatment =    "T Theoretical or Mathematical",
}

@Article{MacKinnon:1972:AEH,
  author =       "Robert F. MacKinnon",
  title =        "The asymptotic expansions of {Hankel} transforms and
                 related integrals",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "118",
  pages =        "515--527",
  month =        apr,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0230 (Integral transforms); C1130 (Integral
                 transforms)",
  corpsource =   "Defence Res. Establ., Pacific, Victoria, BC, Canada",
  keywords =     "asymptotic expansions; Bessel; functions; Hankel
                 transforms; integrals; transforms",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Majithia:1972:CAE,
  author =       "J. C. Majithia",
  title =        "Cellular Array for Extraction of Squares and Square
                 Roots of Binary Numbers",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-21",
  number =       "9",
  pages =        "1023--1024",
  month =        sep,
  year =         "1972",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1972.5009084",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Tue Jul 12 18:58:46 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009084",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@TechReport{Manos:1972:CCA,
  author =       "Paul Manos and L. Richard Turner",
  title =        "Constrained {Chebyshev} approximations to some
                 elementary functions suitable for evaluation with
                 floating-point arithmetic",
  type =         "{NASA} Technical Note",
  number =       "TN D-6698",
  institution =  "NASA",
  address =      "Washington, DC, USA",
  pages =        "iii + 68",
  month =        mar,
  year =         "1972",
  bibdate =      "Mon May 22 11:27:24 2006",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19720010958_1972010958.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Marino:1972:NAA,
  author =       "D. Marino",
  title =        "New Algorithms for the Approximate Evaluation in
                 Hardware of Binary Logarithms and Elementary
                 Functions",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-21",
  number =       "12",
  pages =        "1416--1421",
  month =        dec,
  year =         "1972",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/T-C.1972.223516",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Thu Sep 08 08:05:51 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Morita:1972:CAG,
  author =       "Tohru Morita and Tsuyoshi Horiguchi",
  title =        "Convergence of the arithmetic-geometric mean procedure
                 for the complex variables and the calculation of the
                 complete elliptic integrals with complex modulus",
  journal =      j-NUM-MATH,
  volume =       "20",
  number =       "5",
  pages =        "425--430",
  month =        oct,
  year =         "1972",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01402565",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Thu Jan 13 10:01:46 MST 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=425",
  abstract =     "The convergence of the arithmetic-geometric mean
                 procedure is checked for complex variables. The
                 procedure is shown to be useful for the evaluation of
                 the complete elliptic integrals of the first and second
                 kinds with complex modulus. It is suggested that the
                 procedure will be useful also for the numerical
                 calculation of the elliptic integrals and the Jacobian
                 elliptic functions with complex modulus in general.",
  acknowledgement = ack-nhfb,
}

@Article{Moses:1972:TGT,
  author =       "Joel Moses",
  title =        "Toward a General Theory of Special Functions",
  journal =      j-CACM,
  volume =       "15",
  number =       "7",
  pages =        "550--554",
  month =        jul,
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "34-02 12H05",
  MRnumber =     "53 3384",
  MRreviewer =   "K. Okugawa",
  bibdate =      "Mon Jan 22 07:06:21 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Moses72;
                 http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/macsyma.bib",
  note =         "Twenty-fifth anniversary of the Association for
                 Computing Machinery.",
  acknowledgement = ack-nhfb,
  classcodes =   "C1100 (Mathematical techniques)",
  keywords =     "general theory; mathematics; special functions",
  oldlabel =     "Moses72",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Moses72",
}

@Article{Olver:1972:NBR,
  author =       "F. W. J. Olver and D. J. Sookne",
  title =        "Note on Backward Recurrence Algorithms",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "120",
  pages =        "941--947",
  month =        oct,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290Z (Other numerical methods); C4190 (Other
                 numerical methods)",
  corpsource =   "Univ. Maryland, College Park, MD, USA",
  keywords =     "backward recurrence algorithms; Bessel; Bessel
                 functions; difference equations; functions; recessive
                 solution; second order linear difference equation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Parnes:1972:CZM,
  author =       "R. Parnes",
  title =        "Complex zeros of the modified {Bessel} function
                 {$K_n(Z)$}",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "120",
  pages =        "949--953",
  month =        oct,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "City Univ., New York, NY, USA",
  keywords =     "and zeros; Bessel functions; complex zeros;
                 interpolation; interpolation scheme; iterative;
                 iterative methods; modified Bessel function; poles",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ramamoorthy:1972:SPI,
  author =       "C. V. Ramamoorthy and James R. Goodman and K. H. Kim",
  title =        "Some Properties of Iterative Square-Rooting Methods
                 Using High-Speed Multiplication",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-21",
  number =       "8",
  pages =        "837--847",
  month =        aug,
  year =         "1972",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1972.5009039",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Tue Jul 12 18:58:45 MDT 2011",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009039",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Samet:1972:CDL,
  author =       "P. A. Samet and D. W. Honey",
  title =        "Calculation of a Double-Length Square Root from
                 Double-Length Number using Single Precision
                 Techniques",
  journal =      j-COMP-J,
  volume =       "15",
  number =       "2",
  pages =        "116--116",
  month =        may,
  year =         "1972",
  CODEN =        "CMPJA6",
  DOI =          "http://dx.doi.org/10.1093/comjnl/15.2.116",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Dec 4 14:47:49 MST 2012",
  bibsource =    "http://comjnl.oxfordjournals.org/content/15/2.toc;
                 http://www.math.utah.edu/pub/tex/bib/compj1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/",
  URL =          "http://comjnl.oxfordjournals.org/content/15/2/116.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/116.tif",
  acknowledgement = ack-nhfb,
  classcodes =   "C5230 (Digital arithmetic methods)",
  corpsource =   "Univ. Coll., London, UK",
  fjournal =     "The Computer Journal",
  keywords =     "digital arithmetic; double length; precision
                 techniques; single; square root",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Strecok:1972:HPE,
  author =       "A. J. Strecok and J. A. Gregory",
  title =        "High Precision Evaluation of the Irregular {Coulomb}
                 Wave Functions",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "120",
  pages =        "955--961 + s1--s10",
  month =        oct,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "A0365G (Solutions of wave equations: bound state in
                 quantum theory); B0290F (Interpolation and function
                 approximation); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Argonne Nat. Lab., IL, USA",
  keywords =     "function approximation; high precision evaluation;
                 irregular Coulomb wave functions; numerical methods;
                 wave functions",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Turunov:1972:EFD,
  author =       "M. Turunov",
  title =        "Elementary functions of a discrete real and complex
                 argument. ({Russian})",
  journal =      "Ta{\v{s}}kent. Gos. Univ. Nau{\v{c}}n. Trudy",
  volume =       "418 Voprosy Mat.",
  pages =        "263--271, 386",
  year =         "1972",
  MRclass =      "30A95",
  MRnumber =     "50 \#13556",
  MRreviewer =   "G. Berzsenyi",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Wynn:1972:CAM,
  author =       "P. Wynn",
  title =        "Convergence Acceleration by a Method of
                 Intercalation",
  journal =      j-COMPUTING,
  volume =       "9",
  number =       "4",
  pages =        "267--273",
  year =         "1972",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Tue Jan 2 17:40:51 MST 2001",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-ec # " and " # ack-nhfb,
  affiliation =  "Louisiana State Univ., New Orleans, LA, USA",
  classification = "B0290Z; C4190",
  description =  "convergence; series (mathematics)",
  keywords =     "convergence acceleration; method of intercalation;
                 series of real terms",
}

@Article{Amos:1973:BIC,
  author =       "D. E. Amos",
  title =        "Bounds on Iterated Coerror Functions and Their
                 Ratios",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "122",
  pages =        "413--427",
  month =        apr,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Baker:1973:PAS,
  author =       "P. W. Baker",
  title =        "Predictive algorithms for some elementary functions in
                 radix $2$",
  journal =      j-ELECT-LETTERS,
  volume =       "9",
  pages =        "493--494",
  year =         "1973",
  CODEN =        "ELLEAK",
  ISBN =         "0013-5194",
  ISBN-13 =      "0013-5194",
  ISSN =         "0013-5194 (print), 1350-911X (electronic)",
  MRclass =      "68A10",
  MRnumber =     "57 \#18203",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Besslich:1973:MDS,
  author =       "P. W. Besslich and S. Raman",
  title =        "Multiplication, Division and Square Root Extraction
                 Methods for Electronic Desk Calculators",
  journal =      "Journal of the Institution of Telecommunication
                 Engineers (India)",
  volume =       "19",
  number =       "4",
  month =        apr,
  year =         "1973",
  bibdate =      "Thu Sep 1 10:16:11 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Braithwaite:1973:ALP,
  author =       "W. J. Braithwaite",
  title =        "Associated {Legendre} Polynomials, Ordinary and
                 Modified Spherical Harmonics",
  journal =      j-COMP-PHYS-COMM,
  volume =       "5",
  number =       "5",
  pages =        "390--394",
  month =        may,
  year =         "1973",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(73)90065-9",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Oct 29 21:45:41 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Article{Cody:1973:CAP,
  author =       "W. J. Cody and Anthony J. Strecok and Henry C.
                 {Thacher, Jr.}",
  title =        "{Chebyshev} Approximations for the Psi Function",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "121",
  pages =        "123--127",
  month =        jan,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65-06 (68-06)",
  MRnumber =     "50 6095",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Argonne Nat. Lab., IL, USA",
  keywords =     "Chebyshev approximation; Chebyshev approximations;
                 digamma function; psi function",
  remark =       "Fullerton: Relative errors down to $10^{-20}$",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ercegovac:1973:REC,
  author =       "M. D. Ercegovac",
  title =        "Radix-16 Evaluation of Certain Elementary Functions",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-22",
  number =       "6",
  pages =        "561--566",
  month =        jun,
  year =         "1973",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1973.5009107",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Thu Sep 1 10:15:39 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Fettis:1973:CZE,
  author =       "Henry E. Fettis and James C. Caslin and Kenneth R.
                 Cramer",
  title =        "Complex zeros of the error function and of the
                 complementary error function",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "122",
  pages =        "401--407",
  month =        apr,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Wright-Patterson Air Force Base, OH, USA",
  keywords =     "asymptotic formula; complementary error function;
                 complex zeros; error function; errors; first one
                 hundred zeros; function evaluation; poles and zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Fettis:1973:SPC,
  author =       "Henry E. Fettis and James C. Caslin and Kenneth R.
                 Cramer",
  title =        "Saddle Points of the Complementary Error Function",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "122",
  pages =        "409--412",
  month =        apr,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Sandia Labs., Albuquerque, NM, USA",
  keywords =     "asymptotic; complementary error function; errors;
                 formula; function evaluation; poles and zeros; saddle
                 points",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1973:AAE,
  author =       "Walter Gautschi",
  title =        "{ACM Algorithm 471}: Exponential Integrals [{S13}]",
  journal =      j-CACM,
  volume =       "16",
  number =       "12",
  pages =        "761--763",
  month =        dec,
  year =         "1973",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:43:23 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Gautschi73;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation);
                 C7310 (Mathematics computing)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  keywords =     "ALGOL; computation; continued fractions; exponential
                 integrals; integration; recurrence relations;
                 recursive; subroutine; subroutines",
  oldlabel =     "Gautschi73",
  remark =       "Fullerton: Algol-language routine for $E_n(x) =
                 \int_1^\infty e^{-x t} t^n \, dt, x > 0$.",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gautschi73",
}

@TechReport{Hemker:1973:SDL,
  author =       "P. W. Hemker and W. Hoffmann and S. P. N. {van Kampen}
                 and H. L. Oudshoorn and D. T. Winter",
  title =        "Single- and double-length computation of elementary
                 functions",
  number =       "NW 7",
  institution =  "Mathematical Centre",
  address =      "Amsterdam",
  year =         "1973",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/h/hemker-pieter-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Hill:1973:AAN,
  author =       "G. W. Hill and A. W. Davis",
  title =        "{ACM Algorithm 442}: Normal Deviate [{S14}]",
  journal =      j-CACM,
  volume =       "16",
  number =       "1",
  pages =        "51--52",
  month =        jan,
  year =         "1973",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:49:54 MST 2001",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1973.bib;
                 http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#HillD73;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "CSIRO, Glen Osmond, Australia",
  country =      "USA",
  descriptors =  "RVG;",
  enum =         "7393",
  keywords =     "ALGOL; normal deviate; normal distribution inverse;
                 probit; statistics; subroutines; Taylor series
                 approximation; transform",
  language =     "English",
  oldlabel =     "HillD73",
  references =   "0",
  remark =       "Fullerton: Short Algol-language procedure with
                 accuracy to 24 digits.",
  treatment =    "P Practical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/HillD73",
}

@Article{Hill:1973:AAS,
  author =       "G. W. Hill",
  title =        "{ACM Algorithm 465}: {Student}'s $t$ Frequency
                 [{S14}]",
  journal =      j-CACM,
  volume =       "16",
  number =       "11",
  pages =        "690--690",
  month =        nov,
  year =         "1973",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:49:52 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Hill73a;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "CSIRO, Glen Osmond, SA, Australia",
  keywords =     "ALGOL; approximation; density function; series;
                 statistics; student's t statistic; subroutine;
                 subroutines",
  oldlabel =     "Hill73a",
  remark =       "Fullerton: Algol-language routine for $f(t | n) =
                 \frac{\Gamma(n/2 + 1/2)}{(\pi n)^{1/2} \Gamma(n/2)} (1
                 + t^2 / n)^{n/2 + 1/2}$.",
  treatment =    "P Practical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Hill73a",
}

@Article{Laurenzi:1973:DWF,
  author =       "Bernard J. Laurenzi",
  title =        "Derivatives of {Whittaker} Functions ${W}_{k, 1/2}$
                 and ${M}_{k, 1/2}$ with Respect to Order ${K}$",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "121",
  pages =        "129--132",
  month =        jan,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Levin:1973:DNL,
  author =       "D. Levin",
  title =        "Development of non-linear transformations for
                 improving convergence of sequences",
  journal =      j-INT-J-COMPUT-MATH,
  volume =       "3",
  number =       "1--4",
  pages =        "371--388",
  month =        "????",
  year =         "1973",
  CODEN =        "IJCMAT",
  DOI =          "http://dx.doi.org/10.1080/00207167308803075",
  ISSN =         "0020-7160",
  ISSN-L =       "0020-7160",
  bibdate =      "Thu Dec 01 10:27:34 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  ZMnumber =     "0274.65004",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computer Mathematics",
  keywords =     "convergence acceleration",
}

@Article{Linz:1973:NCI,
  author =       "Peter Linz and T. E. Kropp",
  title =        "A note on the computation of integrals involving
                 products of trigonometric and {Bessel} functions",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "124",
  pages =        "871--872",
  month =        oct,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Univ. California, Davies, CA, USA",
  keywords =     "Bessel functions; computation; integration; numerical;
                 numerical methods; products; trigonometric",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Lozier:1973:BCP,
  author =       "D. W. Lozier and L. C. Maximon and W. L. Sadowski",
  title =        "A bit comparison program for algorithm testing",
  journal =      j-COMP-J,
  volume =       "16",
  number =       "2",
  pages =        "111--117",
  month =        may,
  year =         "1973",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:52:11 MDT 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/160111.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/111.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/112.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/113.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/114.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/115.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/116.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/117.tif",
  acknowledgement = ack-nhfb,
  classcodes =   "C6150G (Diagnostic, testing, debugging and evaluating
                 systems)",
  corpsource =   "Nat. Bur. Stand., Washington, DC, USA",
  keywords =     "accuracy; algorithm testing; bit comparison program;
                 computer algorithms; program debugging",
  treatment =    "P Practical",
}

@Article{McNolty:1973:SPD,
  author =       "Frank McNolty",
  title =        "Some probability density functions and their
                 characteristic functions",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "123",
  pages =        "495--504",
  month =        jul,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0240 (Probability and statistics); C1140 (Probability
                 and statistics)",
  corpsource =   "Lockheed Palo Alto Res. Lab., CA, USA",
  keywords =     "Bessel function; characteristic functions; functions;
                 hypergeometric function; probability; probability
                 density functions",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Rice:1973:EEI,
  author =       "S. O. Rice",
  title =        "Efficient Evaluation of Integrals of Analytic
                 Functions by the Trapezoidal Rule",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "52",
  number =       "5",
  pages =        "707--722",
  month =        may # "--" # jun,
  year =         "1973",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  bibdate =      "Tue Nov 9 11:15:55 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1973/BSTJ.1973.5205.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol52/bstj52-5-707.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Article{Schmid:1973:BLVa,
  author =       "H. Schmid",
  title =        "{BCD} logic {V}: {BCD} square root",
  journal =      j-ELECTRONIC-DESIGN,
  volume =       "21",
  number =       "17",
  pages =        "62--69",
  month =        aug,
  year =         "1973",
  CODEN =        "ELODAW",
  ISSN =         "0013-4872",
  bibdate =      "Thu Sep 1 10:16:11 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  keywords =     "decimal fixed-point arithmetic",
}

@Article{Sookne:1973:BFC,
  author =       "D. J. Sookne",
  title =        "{Bessel} Functions {$I$} and {$J$} of Complex Argument
                 and Integer Order",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "77B",
  number =       "3--4",
  pages =        "111--114",
  month =        jul,
  year =         "1973",
  bibdate =      "Sat Oct 30 10:49:13 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: A program is described but not published.",
}

@Article{Sookne:1973:BFR,
  author =       "D. J. Sookne",
  title =        "{Bessel} Functions of Real Argument and Integer
                 Order",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "77A",
  number =       "3--4",
  pages =        "125--132",
  month =        jul,
  year =         "1973",
  bibdate =      "Sat Oct 30 10:51:18 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Sequences of $I_n(x)$ and $J_n(x)$ are
                 computed with a FORTRAN routine.",
}

@Article{Sookne:1973:CABa,
  author =       "D. J. Sookne",
  title =        "Certification of an Algorithm for {Bessel} Functions
                 of Real Argument",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "77B",
  number =       "3--4",
  pages =        "115--124",
  month =        jul,
  year =         "1973",
  bibdate =      "Sat Oct 30 10:55:03 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: An algorithm is shown to lose at most about
                 3 bits of precision.",
}

@Article{Sookne:1973:CABb,
  author =       "D. J. Sookne",
  title =        "Certification of an Algorithm for {Bessel} Functions
                 of Complex Argument",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "77B",
  number =       "3",
  pages =        "133--136",
  month =        jul,
  year =         "1973",
  bibdate =      "Sat Oct 30 10:53:39 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The algorithm is shown to lose at most
                 about 3 bits of precision.",
}

@Article{Vos:1973:RAC,
  author =       "H. Vos",
  title =        "Remark on ``{Algorithm 300}: {Coulomb} Wave
                 Functions''",
  journal =      j-CACM,
  volume =       "16",
  number =       "5",
  pages =        "308--309",
  month =        may,
  year =         "1973",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 07:27:34 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Vos73;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Gunn:1967:ACW}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis); C7310 (Mathematics computing)",
  corpsource =   "Vrije Univ., Amsterdam, Netherlands",
  keywords =     "Coulomb wave functions; function evaluation;
                 mathematics; wave functions",
  oldlabel =     "Vos73",
  remark =       "Fullerton: Algol-language accuracy monitor for
                 Algorithm 300, which is generally accurate only to 3
                 digits.",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Vos73",
}

@Article{Wong:1973:AEL,
  author =       "R. Wong",
  title =        "An Asymptotic Expansion of {$W_{k,m}(z)$} with Large
                 Variable and Parameters",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "122",
  pages =        "429--436",
  month =        apr,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Wrench:1973:ECT,
  author =       "John W. Wrench",
  title =        "Erratum: {Concerning Two Series for the Gamma
                 Function}",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "123",
  pages =        "681--682",
  month =        jul,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Minor last-digit rounding errors are
                 reported.",
}

@Article{Wrigge:1973:EII,
  author =       "H. S. Wrigge",
  title =        "An Elliptic Integral Identity",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "124",
  pages =        "839--840",
  month =        oct,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Yohe:1973:IBS,
  author =       "J. M. Yohe",
  title =        "Interval Bounds for Square Roots and Cube Roots",
  journal =      j-COMPUTING,
  volume =       "11",
  number =       "1",
  pages =        "51--57",
  month =        mar,
  year =         "1973",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Tue Jan 2 17:40:51 MST 2001",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-jr # " and " # ack-nhfb,
  affiliation =  "Univ. Wisconsin, Madison, WI, USA",
  classification = "C5230",
  description =  "digital arithmetic; error analysis",
  fjournal =     "Computing",
  keywords =     "binary computers; cube roots; error analysis; interval
                 bounds; machine representable number; optimal upward
                 directed rounding; smallest machine representable
                 interval; square roots",
}

@Article{Acton:1974:RRF,
  author =       "Forman S. Acton",
  title =        "Recurrence relations for the {Fresnel} integral
                 $\int_0^{\infty} \exp(-ct) \, dt / \sqrt{t (1 + t^2)}$
                 and similar integrals",
  journal =      j-CACM,
  volume =       "17",
  number =       "8",
  pages =        "480--481",
  month =        aug,
  year =         "1974",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65D20 (33A70)",
  MRnumber =     "49 6554",
  bibdate =      "Mon Jan 22 06:20:27 MST 2001",
  bibsource =    "Compendex database;
                 http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Acton74;
                 http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "The class of functions defined by
                 $\int_0^\infty[\exp(- cX)dt/(1+Y)(t^{1/2})^k]$ where
                 $X$ and $Y$ are either $t$ or $t^2$ and $k$ is $-1$,
                 $0$, or $1$ can be evaluated by recurrences for all but
                 small values of the parameter $c$. These recurrences,
                 given here, are more efficient than the usual
                 asymptotic series.",
  acknowledgement = ack-nhfb,
  classification = "921",
  journalabr =   "Commun ACM",
  keywords =     "exponential integral; Fresnel integral; mathematical
                 techniques; recurrence relations",
  oldlabel =     "Acton74",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Acton74",
}

@Article{Amos:1974:CMB,
  author =       "D. E. Amos",
  title =        "Computation of modified {Bessel} functions and their
                 ratios",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "125",
  pages =        "239--251",
  month =        jan,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Sandia Labs., Albuquerque, NM, USA",
  keywords =     "Bessel functions; computation; low order Bessel
                 functions; modified Bessel functions; monotonicity;
                 properties; ratios; recursion; relation",
  remark =       "Fullerton: Ratios $I_{\nu + 1}(x) / I_\nu(x)$ are
                 considered.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Barlow:1974:CCF,
  author =       "R. H. Barlow",
  title =        "Convergent Continued Fraction Approximant's to
                 Generalised Polylogarithms",
  journal =      j-BIT,
  volume =       "14",
  number =       "1",
  pages =        "112--116",
  month =        mar,
  year =         "1974",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933124",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:13 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=14&issue=1;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=14&issue=1&spage=112",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Nielsen's generalization $S_{n, p}(z) =
                 \frac{(-1)^{n + p - 1}}{(n - 1)! p!} \int_0^1 \ln^{n -
                 1}(t) \ln^p(1 - zt) / t \, dt$ is evaluated in the
                 complex plane.",
}

@Article{Barnett:1974:CWF,
  author =       "A. R. Barnett and D. H. Feng and J. W. Steed and L. J.
                 B. Goldfarb",
  title =        "{Coulomb} wave functions for all real $\eta$ and
                 $\rho$",
  journal =      j-COMP-PHYS-COMM,
  volume =       "8",
  number =       "5",
  pages =        "377--395",
  month =        dec,
  year =         "1974",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(74)90013-7",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Jul 14 09:47:42 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "This paper may contain the first presentation of
                 Steed's algorithm for computing continued fractions.",
}

@Article{Blair:1974:RCA,
  author =       "J. M. Blair",
  title =        "Rational {Chebyshev} approximations for the modified
                 {Bessel} functions {$I_0(x)$} and {$I_1(x)$}",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "126",
  pages =        "581--583",
  month =        apr,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Atomic Energy Canada Ltd., Chalk River, Ont., Canada",
  keywords =     "Chebyshev approximation; functions; modified Bessel;
                 nearly best rational approximations; rational Chebyshev
                 approximations; series (mathematics)",
  remark =       "Fullerton: With microfiche supplement. Relative errors
                 down to $10^{-23}$.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bosten:1974:RAI,
  author =       "Nancy E. Bosten and E. L. Battiste",
  title =        "Remark on ``{Algorithm 179}: {Incomplete} Beta
                 Ratio''",
  journal =      j-CACM,
  volume =       "17",
  number =       "3",
  pages =        "156--157",
  month =        mar,
  year =         "1974",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:27:36 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#BostenB74;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Ludwig:1963:AIB,Pike:1976:RIB}.",
  acknowledgement = ack-nhfb,
  bdate =        "Mon Jan 22 06:27:36 MST 2001",
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation); C7310
                 (Mathematics computing)",
  corpsource =   "IMSL, Houston, TX, USA",
  keywords =     "Algorithm 179; computer aided analysis; function
                 approximation; incomplete beta ratio; subroutines",
  oldlabel =     "BostenB74",
  remark =       "Fullerton: FORTRAN routine with accuracy about
                 $10^{-6}$. See M. C. Pike (1976) for a Remark.",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/BostenB74",
}

@Article{Brent:1974:AAG,
  author =       "Richard P. Brent",
  title =        "{ACM Algorithm 488}: {A} {Gaussian} pseudo-random
                 number generator [{G5}]",
  journal =      j-CACM,
  volume =       "17",
  number =       "12",
  pages =        "704--706",
  month =        dec,
  year =         "1974",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:28:05 MST 2001",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
                 http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Brent74;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C7890 (Other special applications of computing)",
  corpsource =   "Australian Nat. Univ., Canberra, Australia",
  country =      "USA",
  descriptors =  "RVG;",
  enum =         "7061",
  keywords =     "distribution; FORTRAN; Gaussian; generator; GRAND;
                 normal distribution; pseudo random numbers; random
                 number generation; random numbers; subroutines",
  language =     "English",
  location =     "SEL: Wi",
  oldlabel =     "Brent74",
  references =   "0",
  remark =       "Fullerton: A FORTRAN routine that returns normally
                 distributed numbers with zero mean and unit standard
                 deviation.",
  revision =     "16/01/94",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Brent74",
}

@Article{Burrell:1974:AAE,
  author =       "Keith H. Burrell",
  title =        "{ACM Algorithm 484}: Evaluation of the Modified
                 {Bessel} Functions {$K_0(z)$} and {$K_1(z)$} for
                 Complex Arguments [{S17}]",
  journal =      j-CACM,
  volume =       "17",
  number =       "9",
  pages =        "524--526",
  month =        sep,
  year =         "1974",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:28:58 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Burrell74;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis); C7310 (Mathematics computing)",
  corpsource =   "California Inst. Technol., Pasadena, CA, USA",
  keywords =     "algorithm; applications of computers; Bessel
                 functions; complex arguments; function evaluation;
                 Gauss-Hermite quadrature; Hankel functions; modified
                 Bessel functions; natural sciences; subroutines",
  oldlabel =     "Burrell74",
  remark =       "Fullerton: 10-digit accuracy FORTRAN program.",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Burrell74",
}

@Article{Buschman:1974:FSR,
  author =       "R. G. Buschman",
  title =        "Finite sum representations for partial derivatives of
                 special functions with respect to parameters",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "127",
  pages =        "817--824",
  month =        jul,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Univ. Wyoming, Laramie, WY, USA",
  keywords =     "Bessel functions; differentiation; finite sum
                 representations; finite sums; functions; G function;
                 Gegenbauer functions; hypergeometric; Legendre; Mellin
                 transformation; partial derivatives; special functions;
                 Whittaker functions",
  remark =       "Fullerton: Whittaker and Bessel functions are
                 considered.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Carta:1974:HLR,
  author =       "David G. Carta",
  title =        "Help!!: {The} Lost Reference: ({A} Modified {Newton}
                 Method for Square Roots)",
  journal =      j-SIGNUM,
  volume =       "9",
  number =       "4",
  pages =        "9--9",
  month =        oct,
  year =         "1974",
  CODEN =        "SNEWD6",
  DOI =          "http://doi.acm.org/10.1145/1206085.1206086",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Jun 17 18:47:00 MDT 2008",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/signum.bib",
  abstract =     "Around 1970 I saw a journal article describing a
                 modified Newton iteration for square roots. It involved
                 changing the usual factor of 0.5 in $x_{n+1} = 0.5 (x_n
                 + a / x_n)$ to $c_n$ where $c_n \rightarrow 0.5$,
                 thereby increasing the asymptotic rate of convergence
                 from $e_{n+1} = 0.5 e_n^2$ to $e_{n+1} = 0.25 e_n^2$.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
}

@Article{Fettis:1974:SAC,
  author =       "Henry E. Fettis",
  title =        "A stable algorithm for computing the inverse error
                 function in the `tail-end' region",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "126",
  pages =        "585--587",
  month =        apr,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Wright-Patterson Air Force Base, OH, USA",
  keywords =     "function evaluation; inverse error function; iterative
                 algorithm; stability; stable algorithm; tail end
                 region",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Glasser:1974:SDI,
  author =       "M. L. Glasser",
  title =        "Some definite integrals of the product of two {Bessel}
                 functions of the second kind: (order zero)",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "126",
  pages =        "613--615",
  month =        apr,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Battelle Memorial Inst., Columbus, OH, USA",
  keywords =     "Bessel functions; definite integrals; evaluate;
                 function evaluation; integral representation; order;
                 second kind; zero",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Koppelaar:1974:CRA,
  author =       "Henk Koppelaar",
  title =        "Certification and Remark on ``{Algorithm 191}:
                 Hypergeometric''",
  journal =      j-CACM,
  volume =       "17",
  number =       "10",
  pages =        "589--590",
  month =        oct,
  year =         "1974",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:55:45 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Kopelaar74;
                 http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Relph:1963:AH}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Utrecht State Univ., Netherlands",
  keywords =     "algorithm; hypergeometric; improvements; inefficiency;
                 natural sciences applications of computers;
                 subroutines",
  oldlabel =     "Kopelaar74",
  remark =       "Fullerton: Algol-language modifications for Algorithm
                 191, which does not appear to be accurate far from the
                 origin.",
  treatment =    "G General Review; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kopelaar74",
}

@Article{Kyriakopoulos:1974:GFH,
  author =       "E. Kyriakopoulos",
  title =        "Generating functions of the hypergeometric functions",
  journal =      j-J-MATH-PHYS,
  volume =       "15",
  number =       "6",
  pages =        "753--759",
  month =        jun,
  year =         "1974",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.1666724",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 28 16:40:13 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v15/i6/p753_s1",
  acknowledgement = ack-nhfb,
  classification = "A0210 (Algebra, set theory, and graph theory); A0220
                 (Group theory); A0230 (Function theory, analysis)",
  corpsource =   "Nuclear Res. Center 'Democritos', Athens, Greece",
  keywords =     "functions; generating functions; hypergeometric
                 functions; Lie groups; Lie theory; multiplier
                 representation theory; Weisner's technique",
  onlinedate =   "4 November 2003",
  pagecount =    "7",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Latham:1974:CPC,
  author =       "W. P. Latham and Rogers W. Redding",
  title =        "On the calculation of the parabolic cylinder
                 functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "16",
  number =       "1",
  pages =        "66--75",
  month =        sep,
  year =         "1974",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(74)90104-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:15 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999174901041",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{McCabe:1974:CFE,
  author =       "J. H. McCabe",
  title =        "A continued fraction expansion, with a truncation
                 error estimate, for {Dawson}'s integral",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "127",
  pages =        "811--816",
  month =        jul,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290B (Error analysis in numerical methods); B0290F
                 (Interpolation and function approximation); C4110
                 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Univ. St. Andrews, Fife, UK",
  keywords =     "continued fraction expansion; convergents; Dawson's
                 integral; error analysis; function approximation;
                 rational approximations; truncation error estimate",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Nasell:1974:IMB,
  author =       "Ingemar Nasell",
  title =        "Inequalities for Modified {Bessel} Functions",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "125",
  pages =        "253--256",
  month =        jan,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Bell Labs., Holmdel, NJ, USA",
  keywords =     "Bessel functions; inequalities; modified Bessel
                 functions; sharp versions",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Olver:1974:ASF,
  author =       "F. W. J. Olver",
  title =        "Asymptotics and Special Functions",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xvi + 572",
  year =         "1974",
  ISBN =         "0-12-525850-X",
  ISBN-13 =      "978-0-12-525850-0",
  LCCN =         "QA351 .O481 1974",
  bibdate =      "Wed Dec 15 10:40:06 1993",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Pisarskii:1974:QCD,
  author =       "A. V. Pisarski{{\u{\i}}} and A. F. Kurgaev and A. V.
                 Palagin",
  title =        "On the question of the convergence of the {``digit by
                 digit''} methods of computing the elementary
                 functions",
  journal =      "Kibernetika (Kiev)",
  volume =       "4",
  pages =        "147--149",
  year =         "1974",
  CODEN =        "KBRNA5",
  ISSN =         "0023-1274",
  MRclass =      "65D20",
  MRnumber =     "53 \#1915",
  MRreviewer =   "V. V. Ivanov",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Pomeranz:1974:AAE,
  author =       "John Pomeranz",
  title =        "{ACM Algorithm 487}: Exact Cumulative Distribution of
                 the {Kolmogorov--Smirnov} Statistic for Small Samples",
  journal =      j-CACM,
  volume =       "17",
  number =       "12",
  pages =        "703--704",
  month =        dec,
  year =         "1974",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 07:12:56 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Pomeranz74;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Pomeranz:1976:REC}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Purdue Univ., West Lafayette, IN, USA",
  keywords =     "algorithm; exact cumulative distribution; FORTRAN;
                 Kolmogorov Smirnov test; natural sciences applications
                 of computers; small samples; statistic; statistics;
                 subroutines",
  oldlabel =     "Pomeranz74",
  remark =       "Fullerton: FORTRAN routine accurate apparently to 5
                 digits.",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Pomeranz74",
}

@Article{Sheorey:1974:CEW,
  author =       "V. B. Sheorey",
  title =        "{Chebyshev} Expansions for Wavefunctions",
  journal =      j-COMP-PHYS-COMM,
  volume =       "7",
  number =       "1",
  pages =        "1--12",
  month =        jan,
  year =         "1974",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(74)90053-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 10:36:29 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Article{Stegun:1974:ACM,
  author =       "I. A. Stegun and R. Zucker",
  title =        "Automatic Computing Methods for Special Functions.
                 {Part II}. {The} Exponential Integral {$E_n(x)$}",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "78B",
  number =       "4",
  pages =        "199--216",
  month =        oct,
  year =         "1974",
  bibdate =      "Sat Oct 30 11:00:40 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Adjustable double precision FORTRAN
                 routines for $E_n(x)$ and $e^x E_n(x)$.",
}

@Article{Wang:1974:UEZ,
  author =       "Paul S. Wang",
  title =        "The Undecidability of the Existence of Zeros of Real
                 Elementary Functions",
  journal =      j-J-ACM,
  volume =       "21",
  number =       "4",
  pages =        "586--589",
  month =        oct,
  year =         "1974",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  bibdate =      "Wed Jan 15 18:12:53 MST 1997",
  bibsource =    "Compendex database;
                 ftp://ftp.ira.uka.de/pub/bibliography/Math/hilbert10.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "From Richardson's undecidability results, it is shown
                 that the predicate ``there exists a real number such
                 that G(r) equals 0'' is recursively undecidable for
                 G(x) in a class of functions which involves polynomials
                 and the sine function. The deduction follows that the
                 convergence of a class of improper integrals is
                 recursively undecidable.",
  acknowledgement = ack-nhfb,
  classification = "921",
  journalabr =   "J Assoc Comput Mach",
  keywords =     "mathematical techniques",
}

@Article{Wimp:1974:CTP,
  author =       "J. Wimp",
  title =        "On the computation of {Tricomi}'s {Psi} function",
  journal =      j-COMPUTING,
  volume =       "13",
  number =       "3--4",
  pages =        "195--203",
  year =         "1974",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Tue Jan 2 17:40:52 MST 2001",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-nhfb,
  affiliation =  "Drexel Univ., Philadelphia, PA, USA",
  citedby =      "Fullerton:1980:BEM",
  classification = "723; 921; B0290D; C4120",
  description =  "convergence of numerical methods; function
                 evaluation",
  journalabr =   "Comput (Vienna/NY)",
  keywords =     "computation; computer programming --- Subroutines;
                 confluent hypergeometric function; convergence;
                 mathematical techniques; recurrence relations;
                 Tricomi's",
  remark =       "Fullerton: Backward recursion methods are discussed.",
}

@Article{Baker:1975:MER,
  author =       "P. W. Baker",
  title =        "More efficient radix-$2$ algorithms for some
                 elementary functions",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-24",
  number =       "11",
  pages =        "1049--1054",
  month =        nov,
  year =         "1975",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/T-C.1975.224132",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  MRclass =      "68A10",
  MRnumber =     "52 \#7193",
  MRreviewer =   "I. Kaufmann",
  bibdate =      "Tue Jul 12 07:57:58 MDT 2011",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672725",
  acknowledgement = ack-nhfb # "\slash " # ack-nj,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Baker:1975:PMA,
  author =       "P. W. Baker",
  title =        "Parallel Multiplicative Algorithms for Some Elementary
                 Functions",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-24",
  number =       "3",
  pages =        "322--325",
  month =        mar,
  year =         "1975",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/T-C.1975.224215",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Tue Jul 12 07:57:51 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672808",
  abstract =     "This correspondence presents generalized higher radix
                 algorithms for some elementary functions which use fast
                 parallel $m$-bit multipliers where $\mathrm{radix} =
                 2^m$. These algorithms are extensions of those
                 iterative schemes which are based on multiplications by
                 $(1 + 2^{-i})$ and the use of prestored values of $\ln
                 (1 + 2^{-i})$ and $\tan^{-1}(2^{-i})$. The particular
                 functions under consideration are $y/x$, $y/x^{1/2}$,
                 $y exp (x)$, $y + \ln (x)$, $\sin (x)$ and $\cos (x)$
                 [and hence $\tan (x)$]. The extended algorithms rely on
                 multiplication by $(1 + \mathrm{dir}^{-k})$ where
                 $\mathrm{dir}$, $0 \leq \mathrm{dir}$, is an $m$-bit
                 integer. Using a simple selection procedure for
                 $\mathrm{dir}$, simulations show that $p$ (radix $r$)
                 digits of a function may be generated, on the average,
                 in less than $p + 1$ iterations.",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Boris:1975:NEO,
  author =       "Jay P. Boris and Elaine S. Oran",
  title =        "Numerical evaluation of oscillatory integrals such as
                 the modified {Bessel} function {$K_{i\zeta}(x)$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "17",
  number =       "4",
  pages =        "425--433",
  month =        apr,
  year =         "1975",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(75)90045-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:17 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999175900455",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@TechReport{Brent:1975:MZM,
  author =       "R. P. (Richard P.) Brent",
  title =        "Multiple-precision zero-finding methods and the
                 complexity of elementary function evaluation",
  institution =  "Department of Computer Science, Carnegie-Mellon
                 University",
  address =      "Pittsburgh, PA, USA",
  pages =        "26",
  year =         "1975",
  bibdate =      "Sat Jan 11 10:14:06 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Iterative methods (Mathematics)",
  searchkey =    "ti:elementary n1 function",
}

@Article{Bujnowski:1975:EFC,
  author =       "G. Rudnicki Bujnowski",
  title =        "Explicit Formulas for {Clebsch--Gordan} Coefficients",
  journal =      j-COMP-PHYS-COMM,
  volume =       "10",
  number =       "4",
  pages =        "245--250",
  month =        oct,
  year =         "1975",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(75)90069-7",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 10:13:20 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465575900697",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
  remark =       "Fullerton: A PL/I-FORMAC procedure is discussed.",
}

@Article{Carta:1975:LOA,
  author =       "David G. Carta",
  title =        "Low-Order Approximations for the Normal Probability
                 Integral and the Error Function",
  journal =      j-MATH-COMPUT,
  volume =       "29",
  number =       "131",
  pages =        "856--862",
  month =        jul,
  year =         "1975",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0260 (Optimisation techniques); B0290R (Integral
                 equations); C1180 (Optimisation techniques); C4180
                 (Integral equations)",
  corpsource =   "Jet Propulsion Lab., California Inst. of Technol.,
                 Pasadena, CA, USA",
  keywords =     "error function; fraction; integral equations; linear
                 minimax problems; linear programming; low; normal
                 probability integral; order approximations;
                 polynomials; rational",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Cody:1975:FPS,
  author =       "W. J. Cody",
  title =        "The {FUNPACK} Package of Special Function
                 Subroutines",
  journal =      j-TOMS,
  volume =       "1",
  number =       "1",
  pages =        "13--25",
  month =        mar,
  year =         "1975",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355626.355631",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Fri Aug 26 23:44:16 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@PhdThesis{Epstein:1975:AET,
  author =       "Harvey Irwin Epstein",
  title =        "Algorithms for elementary transcendental function
                 arithmetic",
  school =       "University of Wisconsin",
  address =      "Madison, WI, USA",
  pages =        "409",
  year =         "1975",
  bibdate =      "Sat Jan 11 10:14:06 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  annote =       "Typescript. Vita. Thesis (Ph. D.)--University of
                 Wisconsin--Madison, 1975.",
  keywords =     "Algorithms.; Functions -- Data processing.; Functions,
                 Transcendental.",
  searchkey =    "ti:elementary n1 function",
}

@Article{Ferguson:1975:PFI,
  author =       "Helaman Rolfe Pratt Ferguson and Dale E. Nielsen and
                 Grant Cook",
  title =        "A partition formula for the integer coefficients of
                 the theta function nome",
  journal =      j-MATH-COMPUT,
  volume =       "29",
  number =       "131",
  pages =        "851--855",
  month =        jul,
  year =         "1975",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290R (Integral equations); C4180 (Integral
                 equations)",
  corpsource =   "Dept. of Math., Brigham Young Univ., Provo, UT, USA",
  keywords =     "coefficients; complete elliptic integrals; elliptic
                 function theory; elliptic integrals; incomplete;
                 integral equations; partition formula; theta function
                 nome integer",
  remark =       "Fullerton: Incomplete elliptic integrals can be
                 expressed as a series of theta functions.",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Gargantini:1975:PSR,
  author =       "I. Gargantini",
  editor =       "K. Nickel",
  booktitle =    "Interval Mathematics",
  title =        "Parallel Square Root Iterations",
  volume =       "29",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "196--204",
  year =         "1975",
  bibdate =      "Fri Jan 12 11:37:56 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Lecture Notes In Computer Science",
  acknowledgement = ack-jr,
}

@InProceedings{Gautschi:1975:CMS,
  author =       "W. Gautschi",
  title =        "Computational Methods in Special Functions --- {A}
                 Survey",
  crossref =     "Askey:1975:TAS",
  pages =        "1--98",
  year =         "1975",
  bibdate =      "Sat Oct 30 07:42:41 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Extensive list of references.",
}

@Article{Ginsberg:1975:AAD,
  author =       "E. S. Ginsberg and Dorothy Zaborowski",
  title =        "{ACM Algorithm 490}: The Dilogarithm Function of a
                 Real Argument [{S22}]",
  journal =      j-CACM,
  volume =       "18",
  number =       "4",
  pages =        "200--202",
  month =        apr,
  year =         "1975",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 06:44:28 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm18.html#GinsbergZ75;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Morris:1976:RDF}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis); C7310 (Mathematics computing)",
  corpsource =   "Dept. of Phys., Univ. of Massachusetts, Boston, MA,
                 USA",
  keywords =     "dilogarithm function; electrodynamics; ferromagnets;
                 function evaluation; function subroutine; ideal;
                 library; network analysis; polymers; quantum; real
                 argument; subprograms; subroutines; thermodynamics",
  oldlabel =     "GinsbergZ75",
  remark =       "Fullerton: FORTRAN routine accurate to 15 digits for
                 evaluating $\operatorname{Li}_2(x) = -\int_0^\infty
                 \frac{\ln(1 z)}{z} \, dz$.",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/GinsbergZ75",
}

@Article{Headley:1975:DZG,
  author =       "V. B. Headley and V. K. Barwell",
  title =        "On the distribution of the zeros of generalized {Airy}
                 functions",
  journal =      j-MATH-COMPUT,
  volume =       "29",
  number =       "131",
  pages =        "863--877",
  month =        jul,
  year =         "1975",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Math., Brock Univ., St. Catherines, Ont.,
                 Canada",
  keywords =     "Bessel functions; boundary rays; differential
                 equations; generalized Airy functions; nonreal zeros;
                 zeros distribution",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Hitotumatu:1975:SRU,
  author =       "Sin Hitotumatu",
  title =        "Some remarks on the unified treatment of elementary
                 functions by microprogramming",
  crossref =     "Miller:1975:TNA",
  pages =        "51--56 (vol. 2)",
  year =         "1975",
  MRclass =      "65D15",
  MRnumber =     "54 \#11733",
  MRreviewer =   "Luciano Biasini",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ikebe:1975:ZRC,
  author =       "Yasuhiko Ikebe",
  title =        "The Zeros of Regular {Coulomb} Wave Functions and of
                 Their Derivatives",
  journal =      j-MATH-COMPUT,
  volume =       "29",
  number =       "131",
  pages =        "878--887",
  month =        jul,
  year =         "1975",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Centre Numerical Analysis, Univ. of Texas, Austin, TX,
                 USA",
  keywords =     "Bessel function; compact matrix; eigenvalues;
                 eigenvalues and eigenfunctions; function zeros
                 characterisation; matrix algebra; methods; numerical;
                 operators; regular Coulomb wave functions; wave
                 functions; zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Kioustelidis:1975:PLA,
  author =       "J. B. Kioustelidis and J. K. Petrou",
  title =        "A Piecewise Linear Approximation of $\log_2 x$ with
                 Equal Maximum Errors in All Intervals",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-24",
  number =       "9",
  pages =        "858--861",
  month =        sep,
  year =         "1975",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/T-C.1975.224330",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Tue Jul 12 07:57:56 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672923",
  abstract =     "In this paper it is shown how to divide the interval
                 $[1,2]$ into $n$ parts so that the uniform linear
                 approximation of $\log_2 x$ in each subinterval has the
                 same maximum error. This error is, in the case $n = 4$,
                 smaller by a factor of $2.3$ than the error of the
                 linear mean-square approximation given by Hall et al.
                 [1]. The final products of the mathematical analysis
                 are explicit formulas which allow the direct
                 determination of all parameters and the maximum error
                 for any desired number $n$ of subdivisions of
                 $[1,2]$.",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
  keywords =     "$\log_2(x)$; elementary function",
}

@Article{Lewis:1975:CPF,
  author =       "John Gregg Lewis",
  title =        "Certification of ``{Algorithm} 349: Polygamma
                 Functions with Arbitrary Precision''",
  journal =      j-TOMS,
  volume =       "1",
  number =       "4",
  pages =        "380--382",
  month =        dec,
  year =         "1975",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Fri Jun 16 10:31:40 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{TadeudeMedeiros:1969:APF}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "polygamma functions; special functions",
}

@Article{Midy:1975:ICG,
  author =       "P. Midy",
  title =        "An improved calculation of the general elliptic
                 integral of the second kind in the neighbourhood of $x
                 = 0$",
  journal =      j-NUM-MATH,
  volume =       "25",
  number =       "1",
  pages =        "99--101",
  month =        mar,
  year =         "1975",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Oct 17 16:12:48 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Centre de Calcul Paris Sud Informatique, Univ. Paris
                 XI, Orsay, France",
  keywords =     "elliptic integral; integration; Landen transformation;
                 second kind",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ng:1975:CCM,
  author =       "Edward W. Ng",
  title =        "A Comparison of Computational Methods and Algorithms
                 for the Complex Gamma Function",
  journal =      j-TOMS,
  volume =       "1",
  number =       "1",
  pages =        "56--70",
  month =        mar,
  year =         "1975",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355626.355635",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "52 #2148",
  bibdate =      "Fri Aug 26 23:44:16 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  reviewer =     "R. H. Bartels",
}

@Article{Prince:1975:AAF,
  author =       "P. J. Prince",
  title =        "{Algorithm 498}: {Airy} Functions Using {Chebyshev}
                 Series Approximations",
  journal =      j-TOMS,
  volume =       "1",
  number =       "4",
  pages =        "372--379",
  month =        dec,
  year =         "1975",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355656.355663",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sat Aug 27 00:24:33 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See also \cite{Razaz:1981:RAF}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: FORTRAN routines of fixed 10D precision for
                 the two Airy functions and their derivatives are
                 given.",
}

@Article{Skovgaard:1975:RAJ,
  author =       "Ove Skovgaard",
  title =        "Remark on ``{Algorithm 332}: {Jacobi} Polynomials''",
  journal =      j-CACM,
  volume =       "18",
  number =       "2",
  pages =        "116--117",
  year =         "1975",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  bibdate =      "Mon Jan 22 07:22:18 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm18.html#Skovgaard75;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Witte:1968:AAJ}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  oldlabel =     "Skovgaard75",
  remark =       "Fullerton: Modifications to an adjustable-precision
                 FORTRAN routine.",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Skovgaard75",
}

@Article{Temme:1975:NEM,
  author =       "N. M. Temme",
  title =        "On the Numerical Evaluation of the Modified {Bessel}
                 Function of the Third Kind",
  journal =      j-J-COMPUT-PHYS,
  volume =       "19",
  number =       "3",
  pages =        "324--337",
  month =        nov,
  year =         "1975",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(75)90082-0",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sat Oct 30 11:20:31 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Computational Physics",
}

@Article{Temme:1975:UAE,
  author =       "N. M. Temme",
  title =        "Uniform asymptotic expansions of the incomplete gamma
                 functions and the incomplete beta function",
  journal =      j-MATH-COMPUT,
  volume =       "29",
  number =       "132",
  pages =        "1109--1114",
  month =        oct,
  year =         "1975",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Appl. Math., Amsterdam, Netherlands",
  keywords =     "asymptotic expansions; asymptotic series;
                 complementary error function; function approximation;
                 incomplete beta function; incomplete gamma functions;
                 uniform",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Warner:1975:PDG,
  author =       "D. D. Warner",
  title =        "A partial derivative generator",
  type =         "Computing Science Technical Report",
  number =       "28",
  institution =  "Bell Telephone Laboratories",
  address =      "Murray Hill, NJ, USA",
  year =         "1975",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 Theory/auto.diff.bib",
  abstract =     "A precompiler is described which takes a specification
                 of a function as input and produces a Fortran
                 subroutine which will evaluate the component functions
                 and the corresponding Jacobian. Many of the Fortran
                 elementary functions are provided, as well as a
                 facility which allows the user to specify their own
                 differentiation rules.",
  acknowledgement = ack-nhfb,
  keywords =     "differentiation arithmetic; precompiler.",
  referred =     "[Carl86a]; [Hali83a]; [Hill82a]; [Spee80a].",
}

@Article{Assmus:1976:NFS,
  author =       "E. F. {Assmus, Jr.} and H. F. {Mattson, Jr.} and
                 Howard E. Sachar",
  title =        "A New Form of the Square Root Bound",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "30",
  number =       "2",
  pages =        "352--354",
  month =        mar,
  year =         "1976",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  bibdate =      "Thu Oct 15 18:16:06 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classification = "B0250 (Combinatorial mathematics); C1160
                 (Combinatorial mathematics)",
  corpsource =   "Dept. of Math., Lehigh Univ., Bethlehem, PA, USA",
  fjournal =     "SIAM Journal on Applied Mathematics",
  keywords =     "combinatorial mathematics; linear codes; square root
                 bound; sufficient combinatorial conditions",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Baker:1976:SFB,
  author =       "P. W. Baker",
  title =        "Suggestion for a fast binary sine\slash cosine
                 generator",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-25",
  number =       "11",
  pages =        "1134--1136",
  month =        nov,
  year =         "1976",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1976.1674566",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Tue Jul 12 06:24:55 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674566",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
  keywords =     "$\cos(x)$; $\sin(x)$; elementary function",
}

@Article{Barnett:1976:MRC,
  author =       "A. R. Barnett",
  title =        "{RCWFF} --- Modification of the Real {Coulomb}
                 Wavefunction Program {RCWFN}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "11",
  number =       "1",
  pages =        "141--142",
  month =        jan # "\slash " # feb,
  year =         "1976",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(76)90045-X",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Oct 29 21:24:02 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Article{Blair:1976:RCA,
  author =       "J. M. Blair and C. A. Edwards and J. H. Johnson",
  title =        "Rational {Chebyshev} approximations for the inverse of
                 the error function",
  journal =      j-MATH-COMPUT,
  volume =       "30",
  number =       "136",
  pages =        "827--830",
  month =        oct,
  year =         "1976",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Atomic Energy of Canada Ltd., Chalk River Nuclear
                 Lab., Chalk River, Ont., Canada",
  keywords =     "Chebyshev approximation; Chebyshev approximations;
                 error function; inverse; rational",
  remark =       "Fullerton: With microfiche supplement.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Brent:1976:FMP,
  author =       "Richard P. Brent",
  title =        "Fast Multiple-Precision Evaluation of Elementary
                 Functions",
  journal =      j-J-ACM,
  volume =       "23",
  number =       "2",
  pages =        "242--251",
  month =        apr,
  year =         "1976",
  CODEN =        "JACOAH",
  DOI =          "http://doi.acm.org/10.1145/321941.321944",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  MRclass =      "68A20 (68A10)",
  MRnumber =     "52 \#16111",
  MRreviewer =   "Amnon Barak",
  bibdate =      "Wed Jan 15 18:12:53 MST 1997",
  bibsource =    "Compendex database;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Let $f(x)$ be one of the usual elementary functions
                 ($\exp$, $\log$, $\artan$, $\sin$, $\cosh$, etc.), and
                 let $M(n)$ be the number of single-precision operations
                 required to multiply $n$-bit integers. It is shown that
                 $f(x)$ can be evaluated, with relative error $O(2-n)$,
                 in $O(M(n)log (n))$ operations as $n \rightarrow
                 \infty$, for any floating-point number $x$ (with an
                 $n$-bit fraction) in a suitable finite interval. From
                 the Sch{\"o}nhage--Strassen bound on $M(n)$, it follows
                 that an $n$-bit approximation to $f(x)$ may be
                 evaluated in $O(n \log_(n) \log \log(n))$ operations.
                 Special cases include the evaluation of constants such
                 as $\pi$ $e$, and $e^\pi$. The algorithms depend on the
                 theory of elliptic integrals, using the
                 arithmetic-geometric mean iteration and ascending
                 Landen transformations.",
  acknowledgement = ack-nhfb,
  classification = "723",
  journalabr =   "J Assoc Comput Mach",
  keywords =     "computational complexity; computer arithmetic;
                 computer programming",
}

@InProceedings{Brent:1976:MPZ,
  author =       "Richard P. Brent",
  title =        "Multiple-precision zero-finding methods and the
                 complexity of elementary function evaluation",
  crossref =     "Traub:1976:ACC",
  pages =        "151--176",
  year =         "1976",
  MRclass =      "68A20",
  MRnumber =     "54 \#11843",
  MRreviewer =   "Claus-Peter Schnorr",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Buschman:1976:IHF,
  author =       "R. G. Buschman",
  title =        "Inequalities for Hypergeometric Functions",
  journal =      j-MATH-COMPUT,
  volume =       "30",
  number =       "134",
  pages =        "303--305",
  month =        apr,
  year =         "1976",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0220 (Mathematical analysis); C1120 (Mathematical
                 analysis)",
  corpsource =   "Dept. of Math. and Statistics, Univ. of Guelph,
                 Guelph, Ont., Canada",
  keywords =     "Bessel functions; classical orthogonal polynomials;
                 confluence; dominant diagonal matrix; function;
                 functions; Gauss' hypergeometric; hypergeometric
                 functions; Kummer's hypergeometric function; modified
                 Bessel function; principle",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Davies:1976:IPS,
  author =       "M. Davies and B. Dawson",
  title =        "The incrementation parameter in square root
                 iteration",
  journal =      j-J-INST-MATH-APPL,
  volume =       "17",
  number =       "2",
  pages =        "219--223",
  year =         "1976",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  MRclass =      "65H05",
  MRnumber =     "55 #9514",
  MRreviewer =   "Luciano Biasini",
  bibdate =      "Fri Apr 5 07:38:01 MST 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  ZMnumber =     "0319.65039",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
}

@Article{Deuflhard:1976:ASC,
  author =       "P. Deuflhard",
  title =        "On Algorithms for the Summation of Certain Special
                 Functions",
  journal =      j-COMPUTING,
  volume =       "17",
  number =       "1",
  pages =        "37--48",
  year =         "1976",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Tue Jan 2 17:40:52 MST 2001",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen,
                 M{\"u}nchen, West Germany",
  citedby =      "Fullerton:1980:BEM",
  classification = "723; 921; B0290B; B0290H; C4110; C4140",
  description =  "error analysis; linear algebra",
  journalabr =   "Comput (Vienna/NY)",
  keywords =     "algorithms; backward error analysis; computer
                 programming; graph representation; mathematical
                 techniques; special functions; stability; summation",
  remark =       "Fullerton: An extension of Clenshaw's summation method
                 is discussed. Spherical harmonic sums are considered as
                 a special case.",
}

@Article{Eckhardt:1976:RAW,
  author =       "Ulrich Eckhardt",
  title =        "A Rational Approximation to {Weierstrass}'
                 $\wp$-Function",
  journal =      j-MATH-COMPUT,
  volume =       "30",
  number =       "136",
  pages =        "818--826",
  month =        oct,
  year =         "1976",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "A0260 (Numerical approximation and analysis); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Nuclear Res. Center, Central Inst. for Appl. Math.,
                 Julich, West Germany",
  keywords =     "equianharmonic; function approximation; rational
                 approximation; unit period parallelogram; Weierstrass'
                 elliptic function; Weierstrass' p function",
  remark =       "Fullerton: A complex FORTRAN algorithm with accuracy
                 down to $10^{-18}$ is given.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ellacott:1976:RCA,
  author =       "S. Ellacott and Jack Williams",
  title =        "Rational {Chebyshev} Approximation in the Complex
                 Plane",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "13",
  number =       "3",
  pages =        "310--323",
  month =        jun,
  year =         "1976",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{elLozy:1976:RAC,
  author =       "Mohamed el Lozy",
  title =        "Remark on {``Algorithm 299: Chi-Squared Integral
                 [S15]''}",
  journal =      j-TOMS,
  volume =       "2",
  number =       "4",
  pages =        "393--395",
  month =        dec,
  year =         "1976",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sat Jul 05 16:47:38 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Hill:1967:ACS,Hill:1985:RCS}.",
  acknowledgement = ack-nhfb,
}

@Article{Fettis:1976:CR,
  author =       "Henry E. Fettis",
  title =        "Complex Roots of $\sin z = az, \cos z = az$, and
                 $\cosh z = az$",
  journal =      j-MATH-COMPUT,
  volume =       "30",
  number =       "135",
  pages =        "541--545",
  month =        jul,
  year =         "1976",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0220 (Mathematical analysis); C1120 (Mathematical
                 analysis)",
  keywords =     "complex roots; cos z=az; cosh z=az; functional
                 equations; sin z=az",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Fullerton:1976:AEM,
  author =       "L. W. Fullerton and G. A. {Rinker, Jr.}",
  title =        "Accurate and Efficient Methods for the Evaluation of
                 Vacuum-Polarization Potentials of Order {$Z\alpha$} and
                 {$Z\alpha^2$}",
  journal =      j-PHYS-REV-A,
  volume =       "13",
  number =       "3",
  pages =        "1283--1287",
  month =        mar,
  year =         "1976",
  CODEN =        "PLRAAN",
  ISSN =         "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
  bibdate =      "Sat Oct 30 06:32:26 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Nine-figure approximations to $K_n(x) =
                 \int_1^\infty e^{-x t} t^n (1/r^3 + 1/(2 r^5)) (r^2 -
                 1)^{1/2} \, dt$ for $n = 0, 1, 3$, and $5$.",
}

@Article{Kononova:1976:CEF,
  author =       "N. F. Kononova",
  title =        "The computation of elementary functions by means of
                 polynomial approximations by the method of {V. K.
                 Dzjadik}. ({Russian})",
  journal =      "Vy{\v{c}}isl. Prikl. Mat. (Kiev)",
  volume =       "29",
  pages =        "27--39",
  year =         "1976",
  ISSN =         "0321-4117",
  MRclass =      "151. 65D15",
  MRnumber =     "57 \#18026",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lentz:1976:GBF,
  author =       "W. G. Lentz",
  title =        "Generating {Bessel} Functions in {Mie} Scattering
                 Calculations Using Continued Fractions",
  journal =      j-APPL-OPTICS,
  volume =       "15",
  number =       "3",
  pages =        "668--671",
  month =        mar,
  year =         "1976",
  CODEN =        "APOPAI",
  ISSN =         "0003-6935",
  bibdate =      "Sat Oct 30 08:41:40 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Morris:1976:RDF,
  author =       "Robert Morris",
  title =        "Remark on ``{Algorithm 490}: The Dilogarithm Function
                 of a Real Argument [{S22}]''",
  journal =      j-TOMS,
  volume =       "2",
  number =       "1",
  pages =        "112--112",
  month =        mar,
  year =         "1976",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355666.355680",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Aug 30 00:27:18 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Ginsberg:1975:AAD}.",
  acknowledgement = ack-nhfb,
}

@Article{Paul:1976:SEF,
  author =       "George Paul and M. Wayne Wilson",
  title =        "Should the Elementary Function Library Be Incorporated
                 Into Computer Instruction Sets?",
  journal =      j-TOMS,
  volume =       "2",
  number =       "2",
  pages =        "132--142",
  month =        jun,
  year =         "1976",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sat Aug 27 00:30:21 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Pike:1976:RIB,
  author =       "Malcolm C. Pike and Jennie SooHoo and N. E. Bosten",
  title =        "Remark on {``Algorithm 179: Incomplete Beta Ratio
                 [S14]''}",
  journal =      j-TOMS,
  volume =       "2",
  number =       "2",
  pages =        "207--208",
  month =        jun,
  year =         "1976",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sat Jul 05 16:45:39 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See remark \cite{Ludwig:1963:AIB,Bosten:1974:RAI}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Pomeranz:1976:REC,
  author =       "J. Pomeranz",
  title =        "Remark on ``{Algorithm 487: Exact Cumulative
                 Distribution of the Kolmogorov--Smirnov Statistic for
                 Small Samples [S14]}''",
  journal =      j-TOMS,
  volume =       "2",
  number =       "1",
  pages =        "111--111",
  month =        mar,
  year =         "1976",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Feb 06 05:28:05 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Pomeranz:1974:AAE}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Redding:1976:CPC,
  author =       "R. W. Redding and W. P. Latham",
  title =        "On the calculation of the parabolic cylinder
                 functions. {II}. {The} function {$V(a,x)$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "20",
  number =       "2",
  pages =        "256--258",
  month =        feb,
  year =         "1976",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(76)90071-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:20 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999176900711",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Salamin:1976:CUA,
  author =       "Eugene Salamin",
  title =        "Computation of $\pi$ Using Arithmetic-Geometric Mean",
  journal =      j-MATH-COMPUT,
  volume =       "30",
  number =       "135",
  pages =        "565--570",
  month =        jul,
  year =         "1976",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Charles Stark Draper Lab., Cambridge, MA, USA",
  keywords =     "arithmetic geometric mean; convergence; elliptic
                 integrals; error analysis; fast Fourier transform
                 multiplication; function evaluation; Landen's;
                 Legendre's relation; numerical computation of pi;
                 transformation",
  remark =       "Fullerton: A quadratically convergent algorithm.",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@InCollection{Salimov:1976:OCE,
  author =       "F. I. Salimov",
  booktitle =    "Probabilistic methods and cybernetics",
  title =        "The organization of calculations of elementary
                 functions into tables. ({Russian})",
  volume =       "12--13",
  publisher =    "Kazan University",
  address =      "Kazan, USSR",
  pages =        "77--90",
  year =         "1976",
  MRclass =      "65A05",
  MRnumber =     "58 \#31706",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Schett:1976:PTS,
  author =       "Alois Schett",
  title =        "Properties of the {Taylor} series expansion
                 coefficients of the {Jacobian} elliptic functions",
  journal =      j-MATH-COMPUT,
  volume =       "30",
  number =       "133",
  pages =        "143--147",
  month =        jan,
  year =         "1976",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "CENS, Gif-sur-Yvette, France",
  keywords =     "differential equations; Jacobian elliptic functions;
                 randomisation distributions; series (mathematics);
                 Taylor series expansion",
  remark =       "Fullerton: The first several coefficients are
                 tabulated.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Schonfelder:1976:PSF,
  author =       "J. L. Schonfelder",
  title =        "The Production of Special Function Routines for a
                 Multi-Machine Library",
  journal =      j-SPE,
  volume =       "6",
  number =       "1",
  pages =        "71--82",
  month =        jan # "\slash " # mar,
  year =         "1976",
  CODEN =        "SPEXBL",
  ISSN =         "0038-0644 (print), 1097-024X (electronic)",
  bibdate =      "Sat May 31 13:36:16 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The design of transportable routines for
                 the NAG library is discussed.",
}

@Article{Schulten:1976:REC,
  author =       "K. Schulten and R. G. Gordon",
  title =        "Recursive Evaluation of $3j$ and $6j$ Coefficients",
  journal =      j-COMP-PHYS-COMM,
  volume =       "11",
  number =       "2",
  pages =        "269--278",
  month =        mar # "\slash " # may,
  year =         "1976",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(76)90058-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 10:32:44 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Article{Sheorey:1976:DCE,
  author =       "V. B. Sheorey",
  title =        "Double {Chebyshev} Expansions for Wave Functions",
  journal =      j-COMP-PHYS-COMM,
  volume =       "12",
  number =       "2",
  pages =        "125--134",
  month =        nov,
  year =         "1976",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(76)90061-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 10:38:43 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465576900618",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Article{Siemieniuch:1976:PCR,
  author =       "J. L. Siemieniuch",
  title =        "Properties of certain rational approximations to
                 $e^{-z}$",
  journal =      j-BIT,
  volume =       "16",
  number =       "2",
  pages =        "172--191",
  month =        jun,
  year =         "1976",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01931369",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:14 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=16&issue=2;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=16&issue=2&spage=172",
  acknowledgement = ack-nhfb,
  keywords =     "elefunt; elementary functions",
}

@Article{Stegun:1976:ACM,
  author =       "I. A. Stegun and R. Zucker",
  title =        "Automatic Computing Methods for Special Functions.
                 {Part III}. {The} Sine, Cosine, Exponential Integrals,
                 and Related Functions",
  journal =      "J. Res. Nat. Bur. Stand.",
  volume =       "80B",
  number =       "2",
  pages =        "291--311",
  month =        apr,
  year =         "1976",
  bibdate =      "Sat Oct 30 11:07:19 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Adjustable double precision FORTRAN.
                 routines for $\operatorname{Si}$, $\operatorname{Ci}$,
                 $\operatorname{Ei}$, $\operatorname{Shi}$, and
                 $\operatorname{Chi}$.",
}

@Article{Temme:1976:NEO,
  author =       "Nico M. Temme",
  title =        "On the numerical evaluation of the ordinary {Bessel}
                 function of the second kind",
  journal =      j-J-COMPUT-PHYS,
  volume =       "21",
  number =       "3",
  pages =        "343--350",
  month =        jul,
  year =         "1976",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(76)90032-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:21 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999176900322",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Tugov:1976:MCA,
  author =       "I. I. Tugov and Yu. L. Shitkov",
  title =        "A Method of Calculating the {Appell} Functions
                 ${F}_a(\alpha; \beta, \beta'; \gamma; x, y)$",
  journal =      j-USSR-COMP-MATH-MATH-PHYS,
  volume =       "16",
  number =       "6",
  pages =        "1587--1590",
  year =         "1976",
  CODEN =        "CMMPA9",
  ISSN =         "0041-5553, 0502-9902",
  bibdate =      "Sat Oct 30 11:38:05 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: [English] translation of Russian-language
                 Zhurnal Vychislitel'noi Matematikii Matemancheskoi
                 Fiziki (1976).",
}

@Article{Alexander:1977:SRR,
  author =       "V. L. Alexander",
  title =        "Square Root Routine",
  journal =      j-IBM-TDB,
  volume =       "20",
  number =       "3",
  pages =        "1222",
  month =        aug,
  year =         "1977",
  CODEN =        "IBMTAA",
  ISSN =         "0018-8689",
  bibdate =      "Thu Sep 1 10:15:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Amos:1977:ACS,
  author =       "D. E. Amos and S. L. Daniel and M. K. Weston",
  title =        "{Algorithm 511}: {CDC} 6600 Subroutines {IBESS} and
                 {JBESS} for {Bessel} Functions {$I_\nu(x)$} and
                 {$J_\nu(x)$}, {$x \ge 0, \nu \ge 0$} [{S18}]",
  journal =      j-TOMS,
  volume =       "3",
  number =       "1",
  pages =        "93--95",
  month =        mar,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355719.355727",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Thu Apr 29 15:14:12 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See erratum \cite{Amos:1978:ECS}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Amos:1977:CSI,
  author =       "D. E. Amos and S. L. Daniel and M. K. Weston",
  title =        "{CDC} 6600 Subroutines {IBESS} and {JBESS} for
                 {Bessel} Functions {$I_\nu(x)$} and {$J_\nu(x)$},
                 {$x\ge0,\nu\ge0$}",
  journal =      j-TOMS,
  volume =       "3",
  number =       "1",
  pages =        "76--92",
  month =        mar,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355719.355726",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "55 #6781",
  bibdate =      "Tue Sep 06 19:20:02 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  reviewer =     "Sven-{\AA}ke Gustafson",
}

@Article{Ardill:1977:BFC,
  author =       "R. W. B. Ardill and K. J. M. Moriarty",
  title =        "The {Bessel} Functions {$J_0$} and {$J_1$} of Complex
                 Argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "13",
  number =       "1",
  pages =        "17--24",
  month =        may,
  year =         "1977",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(77)90023-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Oct 29 21:19:09 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465577900236",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Book{Brezinski:1977:ACA,
  author =       "Claude Brezinski",
  title =        "Acc{\'e}l{\'e}ration de la convergence en analyse
                 num{\'e}rique. ({French}) [{Convergence} acceleration
                 in numerical analysis]",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "313",
  year =         "1977",
  ISBN =         "0-387-08241-7, 3-540-08241-7",
  ISBN-13 =      "978-0-387-08241-7, 978-3-540-08241-5",
  LCCN =         "????",
  bibdate =      "Thu Dec 1 10:17:17 MST 2011",
  bibsource =    "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
  language =     "French",
}

@Article{Carlson:1977:EIF,
  author =       "B. C. Carlson",
  title =        "Elliptic Integrals of the First Kind",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "8",
  number =       "2",
  pages =        "231--242",
  month =        "????",
  year =         "1977",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRnumber =     "MR 0430341 (55:3346)",
  bibdate =      "Fri Oct 29 22:03:28 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Book{Carlson:1977:SFA,
  author =       "Bille Chandler Carlson",
  title =        "Special Functions of Applied Mathematics",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xv + 335",
  year =         "1977",
  ISBN =         "0-12-160150-1",
  ISBN-13 =      "978-0-12-160150-8",
  LCCN =         "QA351 .C32",
  bibdate =      "Fri Jan 22 10:33:57 MST 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Functions, Special",
}

@Article{Cody:1977:CRF,
  author =       "W. J. Cody and Rose M. Motley and L. Wayne Fullerton",
  title =        "The Computation of Real Fractional Order {Bessel}
                 Functions of the Second Kind",
  journal =      j-TOMS,
  volume =       "3",
  number =       "3",
  pages =        "232--239",
  month =        sep,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355744.355747",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Sep 20 18:24:22 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Danilcenko:1977:ETC,
  author =       "L. S. Danil'{\v{c}}enko",
  title =        "An efficient technique for the construction of
                 rational approximations of elementary functions.
                 ({Russian}) Optimization of computations (approximation
                 and minimization of functions)",
  journal =      "Akad. Nauk Ukrain. SSR Inst. Kibernet. Preprint",
  volume =       "18",
  pages =        "17--21",
  year =         "1977",
  MRclass =      "65D15",
  MRnumber =     "80b:65016",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Dijkstra:1977:CFE,
  author =       "D. Dijkstra",
  title =        "A continued fraction expansion for a generalization of
                 {Dawson}'s integral",
  journal =      j-MATH-COMPUT,
  volume =       "31",
  number =       "138",
  pages =        "503--510",
  month =        apr,
  year =         "1977",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4110 (Error analysis in numerical methods); C4120
                 (Functional analysis); C4160 (Numerical integration and
                 differentiation)",
  corpsource =   "Dept. of Math., Tech. Univ. Twente, Enschede,
                 Netherlands",
  keywords =     "confluent hypergeometric; continued fraction
                 expansion; Dawson's; error analysis; function; function
                 evaluation; generalization; integral; integration;
                 truncation error",
  remark =       "Fullerton: An expansion for $F(p, x) = e^{-x^2}
                 \int_0^x e^{t^2} \, dt$ is given.",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Dzjadyk:1977:TPA,
  author =       "V. K. Dzjadyk and S. F. Karpenko",
  title =        "Tables of polynomials for the approximate solution of
                 elementary functions. ({Russian})",
  number =       "28",
  institution =  "Akad. Nauk Ukrain. SSR Inst. Mat. Preprint",
  pages =        "28",
  year =         "1977",
  MRclass =      "65A05 (65D20)",
  MRnumber =     "58 \#19016",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Dzyadyk:1977:OPM,
  author =       "V. K. Dzjadyk and Z. V. Zarickaja and S. F. Karpenko
                 and N. F. Kononova",
  title =        "{\cyr Ob {\`e}ffektivnom priblizhenii mnogochlenami
                 {\`e}lementarnykh funktsi{\u{\i}}.} ({Russian})
                 [Efficient approximation by polynomials of elementary
                 functions]",
  type =         "Preprint",
  number =       "IM-77-21",
  institution =  "Akad. Nauk Ukrain. SSR Inst. Mat.",
  address =      "Kiev, USSR",
  pages =        "42",
  year =         "1977",
  MRclass =      "65L99",
  MRnumber =     "57 \#11075",
  MRreviewer =   "B. D. Donevski",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Eckhardt:1977:RAW,
  author =       "Ulrich Eckhardt",
  title =        "A rational approximation to {Weierstrass}' elliptic
                 function. {II}. {The} lemniscatic case",
  journal =      j-COMPUTING,
  volume =       "18",
  number =       "4",
  pages =        "341--349",
  year =         "1977",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Tue Jan 2 17:40:53 MST 2001",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-nhfb,
  affiliation =  "Zentralinst. f{\"u}r Angewandte Math., Julich, West
                 Germany",
  citedby =      "Fullerton:1980:BEM",
  classification = "C4130",
  description =  "function approximation",
  keywords =     "elliptic functions; lemniscatic case; rational
                 approximation; Weierstrass elliptic function",
  remark =       "Fullerton: Weierstrass' function and its derivative
                 are approximated in the complex plane to 16 S.",
}

@Article{Egbert:1977:PCAa,
  author =       "W. E. Egbert",
  title =        "Personal calculator algorithms. {I}. Square roots",
  journal =      j-HEWLETT-PACKARD-J,
  volume =       "28",
  number =       "9",
  pages =        "22--23",
  month =        may,
  year =         "1977",
  CODEN =        "HPJOAX",
  ISSN =         "0018-1153",
  bibdate =      "Tue Mar 25 14:12:15 MST 1997",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  classcodes =   "C5420 (Mainframes and minicomputers); C7310
                 (Mathematics computing)",
  keywords =     "electronic calculators; HP personal calculator; square
                 root algorithm",
  treatment =    "A Application; T Theoretical or Mathematical",
  xxpages =      "22--24",
}

@InProceedings{Fullerton:1977:PSF,
  author =       "L. W. Fullerton",
  title =        "Portable Special Function Routines",
  crossref =     "Cowell:1977:PMS",
  pages =        "452--483",
  year =         "1977",
  bibdate =      "Sat Oct 30 06:40:00 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Gautschi:1977:ACC,
  author =       "Walter Gautschi",
  title =        "Anomalous convergence of a continued fraction for
                 ratios of {Kummer} functions",
  journal =      j-MATH-COMPUT,
  volume =       "31",
  number =       "140",
  pages =        "994--999",
  month =        oct,
  year =         "1977",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C1120 (Mathematical analysis); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
                 USA",
  keywords =     "apparent; Bessel functions; continued fraction;
                 convergence; differential equations; gamma functions;
                 Kummer functions; wrong limit",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1977:ERI,
  author =       "Walter Gautschi",
  title =        "Evaluation of Repeated Integrals of the Coerror
                 Function",
  journal =      j-TOMS,
  volume =       "3",
  number =       "3",
  pages =        "240--252",
  month =        sep,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355744.355748",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sat Aug 27 22:26:34 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: An arbitrary-accuracy method for evaluating
                 $i^n \erfc(x)$ is given.",
}

@Article{Harris:1977:CAT,
  author =       "F. E. Harris",
  title =        "Convergence acceleration technique for lattice sums
                 arising in electronic-structure studies of crystalline
                 solids",
  journal =      j-J-MATH-PHYS,
  volume =       "18",
  number =       "12",
  pages =        "2377--2381",
  month =        dec,
  year =         "1977",
  CODEN =        "JMAPAQ",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  bibdate =      "Fri Jan 2 14:59:17 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "A0260 (Numerical approximation and analysis); A6150L
                 (Crystal binding)",
  corpsource =   "Dept. of Chem., Univ. of Hawaii, Honolulu, HI, USA",
  keywords =     "convergence acceleration; convergence of numerical
                 methods; crystalline solids; electronic structure;
                 Laplace transform; Laplace transforms; lattice energy;
                 lattice sums; Poisson's summation formula",
  pubcountry =   "USA",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Higgins:1977:CBP,
  author =       "John Rowland Higgins",
  title =        "Completeness and basis properties of sets of special
                 functions",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "x + 134",
  year =         "1977",
  ISBN =         "0-521-21376-2 (hardcover), 0-521-60488-5 (paperback)",
  ISBN-13 =      "978-0-521-21376-9 (hardcover), 978-0-521-60488-8
                 (paperback)",
  LCCN =         "????",
  bibdate =      "Sat Oct 30 16:52:55 MDT 2010",
  bibsource =    "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Hill:1977:AIB,
  author =       "G. W. Hill",
  title =        "{Algorithm 518}: Incomplete {Bessel} Function {$I_0$}.
                 {The von Mises} Distribution [{S14}]",
  journal =      j-TOMS,
  volume =       "3",
  number =       "3",
  pages =        "279--284",
  month =        sep,
  year =         "1977",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355744.355753",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sat Oct 24 15:46:06 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Adjustable-accuracy 50-statement FORTRAN
                 subprogram.",
}

@Article{Hinden:1977:PAR,
  author =       "Harvey J. Hinden",
  title =        "Phi Again: a Relationship Between the Golden Ratio and
                 the Limit of a Ratio of Modified {Bessel} Functions",
  journal =      j-FIB-QUART,
  volume =       "15",
  number =       "2",
  pages =        "112, 152",
  month =        apr,
  year =         "1977",
  CODEN =        "FIBQAU",
  ISSN =         "0015-0517",
  ISSN-L =       "0015-0517",
  bibdate =      "Thu Oct 20 17:59:17 MDT 2011",
  bibsource =    "http://www.fq.math.ca/15-2.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
  URL =          "http://www.fq.math.ca/Scanned/15-2/hinden-a.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "Fib. Quart",
  fjournal =     "The Fibonacci Quarterly. Official Organ of the
                 Fibonacci Association",
}

@Article{Ismail:1977:IRC,
  author =       "Mourad E. H. Ismail",
  title =        "Integral representations and complete monotonicity of
                 various quotients of {Bessel} functions",
  journal =      j-CAN-J-MATH,
  volume =       "29",
  number =       "??",
  pages =        "1198--1207",
  month =        "????",
  year =         "1977",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1977-119-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:38:50 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v29/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
}

@Article{Jansen:1977:RLF,
  author =       "J. K. M. Jansen",
  title =        "Remark on ``{Algorithm 259: Legendre Functions for
                 Arguments Larger than One}''",
  journal =      j-TOMS,
  volume =       "3",
  number =       "2",
  pages =        "204--250",
  month =        jun,
  year =         "1977",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Feb 06 05:28:08 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Gautschi:1965:ALF}.",
  acknowledgement = ack-nhfb,
}

@Book{Luke:1977:ACM,
  author =       "Yudell L. Luke",
  title =        "Algorithms for the Computation of Mathematical
                 Functions",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiii + 284",
  year =         "1977",
  ISBN =         "0-12-459940-0",
  ISBN-13 =      "978-0-12-459940-6",
  LCCN =         "QA351 .L7961",
  bibdate =      "Wed Dec 15 10:38:19 1993",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  wrongisbn =    "0-12-459940-6",
}

@Article{Marsaglia:1977:SMG,
  author =       "George Marsaglia",
  title =        "The squeeze method for generating gamma variates",
  journal =      j-COMP-MATH-APPL,
  volume =       "3",
  number =       "4",
  pages =        "321--325",
  year =         "1977",
  CODEN =        "CMAPDK",
  DOI =          "http://dx.doi.org/10.1016/0898-1221(77)90089-X",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "65C10",
  MRnumber =     "58 \#13613",
  bibdate =      "Mon Oct 24 11:37:20 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 MathSciNet database",
  ZMnumber =     "0384.65005",
  abstract =     "This paper describes an exact method for computer
                 generation of random variables with a gamma
                 distribution. The method is based on the
                 Wilson--Hilferty transformation and an improvement on
                 the rejection technique. The idea is to ``squeeze'' a
                 target density between two functions, the top one easy
                 to sample from, the bottom one easy to evaluate.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  ZMclass =      "*65C10 Random number generation 60E05 General theory
                 of probability distributions",
}

@Article{Martins:1977:DSB,
  author =       "Pedro de A. P. Martins",
  title =        "Determination of spherical {Bessel}'s functions of an
                 order larger than the argument",
  journal =      j-J-COMPUT-PHYS,
  volume =       "25",
  number =       "2",
  pages =        "194--198",
  month =        oct,
  year =         "1977",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(77)90021-3",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:26 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999177900213",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{McCarthy:1977:OAE,
  author =       "D. P. McCarthy",
  title =        "The optimal algorithm to evaluate $x^n$ using
                 elementary multiplication methods",
  journal =      j-MATH-COMPUT,
  volume =       "31",
  number =       "137",
  pages =        "251--256",
  month =        jan,
  year =         "1977",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4120 (Functional analysis); C4240 (Programming and
                 algorithm theory)",
  keywords =     "computational complexity; function evaluation; optimal
                 multiplication chains; symbolic algebraic
                 manipulation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ng:1977:CAL,
  author =       "E. W. Ng",
  title =        "Computations and Applications of Linear Hypergeometric
                 Transformations",
  journal =      j-COMP-MATH-APPL,
  volume =       "3",
  number =       "1",
  pages =        "65--70",
  year =         "1977",
  CODEN =        "CMAPDK",
  DOI =          "http://dx.doi.org/10.1016/0898-1221(77)90115-8",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Sat Oct 30 09:27:55 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Linear transformations are well-known in the theory of
                 hypergeometric functions. In this note, it is
                 indicated, both by analyses and by supporting numerical
                 experiments, how these transformations can be applied
                 to the computation of Legendre's functions, the
                 incomplete Beta function, and the variance-ratio
                 probability distribution function. It is shown that a
                 simple transformation can in many cases cause dramatic
                 improvement in computation.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Pexton:1977:RTTa,
  author =       "Robert L. Pexton and Arno D. Steiger",
  title =        "Roots of two transcendental equations involving
                 spherical {Bessel} functions",
  journal =      j-MATH-COMPUT,
  volume =       "31",
  number =       "139",
  pages =        "752--753",
  month =        jul,
  year =         "1977",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1110 (Algebra)",
  corpsource =   "Univ. of California, Livermore, CA, USA",
  keywords =     "Bessel functions; root; spherical Bessel functions;
                 transcendental equations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Schett:1977:RFT,
  author =       "Alois Schett",
  title =        "Recurrence formula of the {Taylor} series expansion
                 coefficients of the {Jacobian} elliptic functions",
  journal =      j-MATH-COMPUT,
  volume =       "31",
  number =       "140",
  pages =        "1003--1005",
  month =        oct,
  year =         "1977",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C1110 (Algebra)",
  corpsource =   "CENS, Gif-sur-Yvette, France",
  keywords =     "elliptic functions; functions; Jacobian elliptic;
                 peak; recurrence formula; run up; Taylor series
                 expansion coefficients",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Schindler:1977:CCS,
  author =       "Susan Schindler and R. Mirman",
  title =        "The {Clebsch--Gordan} coefficients of {$S_n$}",
  journal =      j-J-MATH-PHYS,
  volume =       "18",
  number =       "8",
  pages =        "1697--1704",
  month =        aug,
  year =         "1977",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.523470",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  bibdate =      "Fri Jan 2 14:59:17 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Ordering schemes for the frames and tableaux of $S_n$
                 are presented, and some results, expressible in terms
                 of these, are developed. A formula is derived for the
                 sign function on tableaux. A table of the nonzero
                 Clebsch--Gordon coefficients for the ''working
                 triplets'' is given. Methods are described, and a
                 needed table supplied, for finding the other
                 coefficients from the tabulated ones. The values are
                 for $n = 2, \ldots{}, 6$, with the coefficients for $n
                 = 6$ relegated to PAPS.",
  acknowledgement = ack-nhfb,
  classification = "A0365F (Algebraic methods in quantum theory); A1130L
                 (Other internal and higher symmetries in particle
                 physics)",
  corpsource =   "Baruch Coll., City Univ. of New York, NY, USA",
  keywords =     "$S_n$ group; Clebsch Gordan coefficients;
                 Clebsch--Gordan coefficients; working triplets",
  pubcountry =   "USA",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Schonfelder:1977:PTS,
  author =       "J. L. Schonfelder",
  title =        "The Production and Testing of Special Function
                 Software in the {NAG} Library",
  crossref =     "Cowell:1977:PMS",
  pages =        "425--451",
  year =         "1977",
  bibdate =      "Sat Oct 30 10:24:29 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
}

@Article{Sharma:1977:GMA,
  author =       "R. R. Sharma and Bahman Zohuri",
  title =        "A general method for an accurate evaluation of
                 exponential integrals {$E_1(x), x > 0$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "25",
  number =       "2",
  pages =        "199--204",
  month =        oct,
  year =         "1977",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(77)90022-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:26 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999177900225",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Verma:1977:CSF,
  author =       "Arun Verma",
  title =        "Certain summation formulae for basic hypergeometric
                 series",
  journal =      j-CAN-MATH-BULL,
  volume =       "20",
  number =       "??",
  pages =        "369--376",
  month =        "????",
  year =         "1977",
  CODEN =        "CMBUA3",
  DOI =          "http://dx.doi.org/10.4153/CMB-1977-055-8",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  bibdate =      "Thu Sep 8 10:04:41 MDT 2011",
  bibsource =    "http://cms.math.ca/cmb/v20/;
                 http://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian mathematical bulletin = Bulletin canadien de
                 math{\'e}matiques",
}

@Article{Amos:1978:ECS,
  author =       "Donald E. Amos",
  title =        "Erratum: ``{Algorithm 511}: {CDC} 6600 Subroutines
                 {IBESS} and {JBESS} for {Bessel} Functions {$I_\nu(x)$}
                 and {$J_\nu(x)$}, {$x\ge0,\nu\ge0$} [{S18}]''",
  journal =      j-TOMS,
  volume =       "4",
  number =       "4",
  pages =        "411--411",
  month =        dec,
  year =         "1978",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/356502.356501",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Aug 30 00:28:02 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Amos:1977:ACS}.",
  acknowledgement = ack-nhfb,
}

@Article{Andrews:1978:EFM,
  author =       "M. Andrews and S. F. McCormick and G. D. Taylor",
  title =        "Evaluation of Functions on Microcomputers: Square
                 Root",
  journal =      j-COMP-MATH-APPL,
  volume =       "4",
  number =       "4",
  pages =        "359--367",
  year =         "1978",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Thu Sep 15 18:40:29 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxmonth =      "(none)",
}

@Article{Andrews:1978:UEF,
  author =       "M. Andrews and T. Mraz",
  title =        "Unified elementary function generator",
  journal =      j-MICROPROC-MICROSYS,
  volume =       "2",
  number =       "5",
  pages =        "270--273",
  month =        oct,
  year =         "1978",
  CODEN =        "MIMID5",
  ISSN =         "0141-9331 (print), 1872-9436 (electronic)",
  bibdate =      "Thu Sep 1 10:15:39 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Ardill:1978:SBF,
  author =       "R. W. B. Ardill and K. J. M. Moriarty",
  title =        "Spherical {Bessel} functions $j_n$ and $y_n$ of
                 integer order and real argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "14",
  number =       "3--4",
  pages =        "261--265",
  month =        may # "\slash " # jun,
  year =         "1978",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(78)90019-X",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/001046557890019X",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Article{Benton:1978:CZT,
  author =       "T. C. Benton and H. D. Knoble",
  title =        "Common Zeros of Two {Bessel} Functions",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "142",
  pages =        "533--535",
  month =        apr,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1110 (Algebra)",
  corpsource =   "Pennsylvania State Univ., University Park, PA, USA",
  keywords =     "Bessel functions; common zeros; poles and zeros;
                 positive zeros; zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Blair:1978:RCA,
  author =       "J. M. Blair and C. A. Edwards and J. H. Johnson",
  title =        "Rational {Chebyshev} approximations for the {Bickley}
                 functions {$Ki_n(x)$}",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "143",
  pages =        "876--886",
  month =        jul,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Atomic Energy of Canada Ltd., Chalk River, Ont.,
                 Canada",
  keywords =     "approximation; Bessel functions; Bickley functions;
                 Chebyshev approximation; Chebyshev approximations;
                 function; recurrence; relation",
  remark =       "Fullerton: Approximations accurate to 23 digits of
                 repeated integrals of the Bessel function $K_0(x)$ for
                 $n = 1, 2, \ldots{}, 10$.",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Brezinski:1978:AAC,
  author =       "Claude Brezinski",
  title =        "Algorithmes d'acc{\'e}l{\'e}ration de la convergence:
                 {\'e}tude num{\'e}rique. ({French}) [Algorithms for
                 convergence acceleration: numerical study]",
  publisher =    "{\'E}ditions Technip",
  address =      "Paris, France",
  pages =        "xi + 392",
  year =         "1978",
  ISBN =         "2-7108-0341-0 (paperback)",
  ISBN-13 =      "978-2-7108-0341-6 (paperback)",
  LCCN =         "????",
  bibdate =      "Thu Dec 1 10:20:23 MST 2011",
  bibsource =    "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Brezinski:1978:CAS,
  author =       "C. Brezinski",
  title =        "Convergence acceleration of some sequences by the
                 $\epsilon$-algorithm",
  journal =      j-NUM-MATH,
  volume =       "29",
  number =       "2",
  pages =        "173--177",
  month =        jan,
  year =         "1978",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra)",
  corpsource =   "UER d'IEEA-Informatique, Univ. de Lille I, Villeneuve
                 d'Ascq, France",
  fjournal =     "Numerische Mathematik",
  keywords =     "acceleration; converge; convergence acceleration;
                 convergence of numerical methods; epsilon-algorithm;
                 sequences",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Brezinski:1978:SCA,
  author =       "C. Brezinski",
  title =        "Survey on convergence acceleration methods in
                 numerical analysis",
  journal =      "Math. Student",
  volume =       "46",
  number =       "1",
  pages =        "28--41 (1979)",
  year =         "1978",
  CODEN =        "MTHSBH",
  ISSN =         "0025-5742",
  MRclass =      "65B99",
  MRnumber =     "698176 (84d:65003)",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The Mathematics Student",
  keywords =     "convergence acceleration",
}

@Article{Chin:1978:DAD,
  author =       "R. C. Y. Chin and G. W. Hedstrom",
  title =        "A dispersion analysis for difference schemes: tables
                 of generalized {Airy} functions",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "144",
  pages =        "1163--1170",
  month =        oct,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation);
                 C4170 (Differential equations)",
  corpsource =   "Univ. of California, Lawrence Livermore Lab.,
                 Livermore, CA, USA",
  keywords =     "artificial viscosity; difference schemes; dispersion
                 analysis; function approximation; functions;
                 generalized Airy; linear hyperbolic equation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{DiDonato:1978:AR,
  author =       "A. R. DiDonato",
  title =        "An Approximation for $\int^\infty_x e^{-t^2/2} t^p dt,
                 x > 0, p$ Real",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "141",
  pages =        "271--275",
  month =        jan,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4160 (Numerical integration and differentiation)",
  corpsource =   "Naval Surface Weapons Center, Dahlgren, VA, USA",
  keywords =     "integral approximation; integration; numerical
                 analysis",
  remark =       "Fullerton: Closely related to the complementary
                 incomplete gamma function.",
  treatment =    "A Application; N New Development; T Theoretical or
                 Mathematical",
}

@Article{Drezner:1978:CBN,
  author =       "Z. Drezner",
  title =        "Computation of the Bivariate Normal Integral",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "141",
  pages =        "277--279",
  month =        jan,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Faculty of Business, McMaster Univ., Hamilton, Ont.,
                 Canada",
  keywords =     "bivariate normal integral; computation; Gauss
                 quadrature method; integration; numerical analysis",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Dzjadyk:1978:CRP,
  author =       "V. K. Dzjadyk and L. \=I. F{\'\i}lozof",
  title =        "The convergence rate of {Pad{\'e}} approximants for
                 some elementary functions. ({Russian})",
  journal =      "Mat. Sb. (N.S.)",
  volume =       "107(149)",
  number =       "3",
  pages =        "347--363, 463",
  year =         "1978",
  ISSN =         "0368-8666",
  MRclass =      "41A21 (30E10 41A25)",
  MRnumber =     "81b:41043",
  MRreviewer =   "B. D. Donevski",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ercegovac:1978:LSR,
  author =       "Milo{\v{s}} D. Ercegovac",
  title =        "An On-Line Square Rooting Algorithm",
  crossref =     "IEEE:1978:PSC",
  pages =        "183--189",
  year =         "1978",
  bibdate =      "Thu Nov 15 10:49:40 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith4/papers/ARITH4_Ercegovac.pdf",
  abstract =     "An on-line algorithm for computing square roots in a
                 radix 2, normalized floating-point number system with
                 the redundant digit set $\{-1, 0, 1\}$ is described.
                 The algorithm has on-line delay of one and it is
                 amenable for modular implementation. A systematic
                 approach, used in deriving this algorithm, is presented
                 in detail.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-4",
}

@Book{Feinsilver:1978:SFP,
  author =       "Philip J. (Philip Joel) Feinsilver",
  title =        "Special functions, probability semigroups, and
                 {Hamiltonian} flows",
  volume =       "696",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vi + 112",
  year =         "1978",
  ISBN =         "0-387-09100-9",
  ISBN-13 =      "978-0-387-09100-6",
  LCCN =         "QA3 .L28 no. 696; QA273",
  bibdate =      "Sat Oct 30 19:22:05 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Lecture notes in mathematics",
  acknowledgement = ack-nhfb,
  subject =      "probabilities; semigroups; functions, special;
                 Hamiltonian systems",
}

@InProceedings{Frankowski:1978:RME,
  author =       "Krzysztof S. Frankowski",
  title =        "A Realistic Model for Error Estimates in the
                 Evaluation of Elementary Functions",
  crossref =     "IEEE:1978:PSC",
  pages =        "70--74",
  year =         "1978",
  MRclass =      "65G05 (65D20)",
  MRnumber =     "80g:65050",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gautschi:1978:CMB,
  author =       "Walter Gautschi and Josef Slavik",
  title =        "On the computation of modified {Bessel} function
                 ratios",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "143",
  pages =        "865--875",
  month =        jul,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C1120 (Mathematical analysis); C4130 (Interpolation
                 and function approximation)",
  corpsource =   "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
                 USA",
  keywords =     "Bessel; Bessel functions; continued fraction;
                 fraction; function approximation; functions; Gauss'
                 continued; modified Bessel function ratios; Perron's
                 continued fraction",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gustafson:1978:ATC,
  author =       "S.-\AA. Gustafson",
  title =        "Algorithm $38$. {Two} computer codes for convergence
                 acceleration",
  journal =      j-COMPUTING,
  volume =       "21",
  number =       "1",
  pages =        "87--91",
  year =         "1978",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65B10",
  MRnumber =     "83a:65005",
  bibdate =      "Tue Jan 2 17:40:53 MST 2001",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 INSPEC Axiom database (1968--date); MathSciNet
                 database",
  acknowledgement = ack-nhfb,
  affiliation =  "Australian Nat. Univ., Canberra, ACT, Australia",
  classification = "723; C4140",
  description =  "convergence of numerical methods",
  journalabr =   "Computing (Vienna/New York)",
  keywords =     "codes, symbolic; convergence acceleration; power
                 series sum",
}

@Article{Gustafson:1978:CAG,
  author =       "S.-\AA. Gustafson",
  title =        "Convergence acceleration on a general class of power
                 series",
  journal =      j-COMPUTING,
  volume =       "21",
  number =       "1",
  pages =        "53--69",
  year =         "1978",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65B10 (40A05)",
  MRnumber =     "83m:65005",
  MRreviewer =   "A. M. Cohen",
  bibdate =      "Tue Jan 2 17:40:53 MST 2001",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 INSPEC Axiom database (1968--date); MathSciNet
                 database",
  acknowledgement = ack-nhfb,
  affiliation =  "Australian Nat. Univ., Canberra, ACT, Australia",
  classification = "C4120",
  description =  "convergence of numerical methods; function
                 evaluation",
  keywords =     "algorithms; convergence acceleration; power series",
}

@InProceedings{Hull:1978:DFP,
  author =       "T. E. Hull",
  title =        "Desirable Floating-Point Arithmetic and Elementary
                 Functions for Numerical Computation",
  crossref =     "IEEE:1978:PSC",
  pages =        "63--69",
  year =         "1978",
  bibdate =      "Thu Sep 01 12:14:34 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Morita:1978:CCE,
  author =       "T. Morita",
  title =        "Calculation of the complete elliptic integrals with
                 complex modulus",
  journal =      j-NUM-MATH,
  volume =       "29",
  number =       "2",
  pages =        "233--236",
  month =        jan,
  year =         "1978",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classification = "C4160 (Numerical integration and differentiation)",
  corpsource =   "Dept. of Appl. Sci., Faculty of Engng., Tohoku Univ.,
                 Sendai, Japan",
  keywords =     "complete elliptic integrals; complex modulus;
                 integration",
  remark =       "Fullerton: Addendum to a paper by Morita and
                 Horiguchi.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Pexton:1978:RTT,
  author =       "Robert L. Pexton and Arno D. Steiger",
  title =        "Roots of two transcendental equations as functions of
                 a continuous real parameter",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "142",
  pages =        "511--518",
  month =        apr,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1110 (Algebra)",
  corpsource =   "Lawrence Livermore Lab., Univ. of California,
                 Livermore, CA, USA",
  keywords =     "continuous real parameter; equations; roots; spherical
                 Bessel functions; transcendental equations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Preston:1978:NAT,
  author =       "F. S. Preston",
  title =        "A New Algorithm for the Tangent",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-27",
  number =       "2",
  pages =        "167--167",
  month =        feb,
  year =         "1978",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1978.1675052",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Mon Jul 11 08:13:26 MDT 2011",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675052",
  abstract =     "A new mathematical algorithm has been developed for
                 the tangent. The form of the equation guarantees that
                 the error is zero at $0^\circ$, $45^\circ$, and
                 $90^\circ$ corresponding to tangents of $0$, $1$, and
                 infinity. With only one constant the error is brought
                 to zero at two more points and the maximum error is
                 less than one part in $3000$. By adding a second
                 constant, the error is reduced to less than one in
                 $720\,000$. Further terms improve the accuracy
                 geometrically.",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Schindler:1978:GCG,
  author =       "Susan Schindler and R. Mirman",
  title =        "Generation of the {Clebsch-Gordan} coefficients for
                 {$S_n$}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "15",
  number =       "1--2",
  pages =        "131--145",
  month =        sep,
  year =         "1978",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(78)90087-5",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sun Oct 31 09:20:58 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Computer Physics Communications",
}

@Article{Schmidt:1978:EI,
  author =       "Paul W. Schmidt",
  title =        "Evaluation of the Integral $\int^\infty_0
                 \frac{t^{2\alpha-1} J_\nu(x\sqrt{1 + t^2})}{(1 +
                 t^2)^{\alpha+\beta-1}} dt$",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "141",
  pages =        "265--269",
  month =        jan,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Phys. Dept., Univ. of Missouri, Columbia, MO, USA",
  keywords =     "cylinder diameter distribution; first kind Bessel
                 function; integral evaluation; integration; long
                 circular; neutron scattering data; numerical analysis;
                 power series expansions; recurrence; relations",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Schoene:1978:RMI,
  author =       "Andrew Y. Schoene",
  title =        "Remark on ``{Algorithm 435}: Modified Incomplete Gamma
                 Function [{S14}]''",
  journal =      j-TOMS,
  volume =       "4",
  number =       "3",
  pages =        "296--304",
  month =        sep,
  year =         "1978",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355791.355803",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Aug 30 00:28:02 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Fullerton:1972:MIG}.",
  acknowledgement = ack-nhfb,
}

@Article{Schonfelder:1978:CEE,
  author =       "J. L. Schonfelder",
  title =        "{Chebyshev} expansions for the error and related
                 functions",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "144",
  pages =        "1232--1240",
  month =        oct,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4110 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Computer Centre, Univ. of Birmingham, Birmingham, UK",
  keywords =     "approximations; Chebyshev approximation; Chebyshev
                 expansions; error analysis; error function; mappings;
                 NAG library",
  remark =       "Fullerton: Approximations for $\erf(x)$, $\erfc(x)$,
                 and probability functions $P(x)$, $Q(x)$ with accuracy
                 down to $10^{-30}$.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Skovgaard:1978:RCE,
  author =       "Ove Skovgaard",
  title =        "Remark on ``{Algorithm 149: Complete Elliptic Integral
                 [S21]}''",
  journal =      j-TOMS,
  volume =       "4",
  number =       "1",
  pages =        "95--95",
  month =        mar,
  year =         "1978",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Feb 06 05:28:13 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Merner:1962:AAC}.",
  acknowledgement = ack-nhfb,
}

@Article{Slepian:1978:PSW,
  author =       "D. Slepian",
  title =        "Prolate Spheroidal Wave Functions, {Fourier} Analysis,
                 and Uncertainty --- {V}: The Discrete Case",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "57",
  number =       "5",
  pages =        "1371--1430",
  month =        may # "--" # jun,
  year =         "1978",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  bibdate =      "Tue Nov 9 11:15:56 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1978/BSTJ.1978.5705.html;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol57/bstj57-5-1371.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
}

@Article{Temme:1978:UAE,
  author =       "N. M. Temme",
  title =        "Uniform asymptotic expansions of confluent
                 hypergeometric functions",
  journal =      j-J-INST-MATH-APPL,
  volume =       "22",
  number =       "2",
  pages =        "215--223",
  year =         "1978",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  MRclass =      "33A30",
  MRnumber =     "80a:33004",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Fri Apr 5 05:48:27 MST 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
}

@Article{Alt:1979:SRD,
  author =       "H. Alt",
  title =        "Square Rooting Is as Difficult as Multiplication",
  journal =      j-COMPUTING,
  volume =       "21",
  number =       "3",
  pages =        "221--232",
  month =        sep,
  year =         "1979",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "68C25",
  MRnumber =     "82m:68081",
  bibdate =      "Tue Jan 2 17:40:54 MST 2001",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 INSPEC Axiom database (1968--date); MathSciNet
                 database",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  affiliation =  "Math. \& Information, Univ. of Saarlandes,
                 Saarbrucken, West Germany",
  classification = "723; C5230",
  description =  "digital arithmetic",
  fjournal =     "Computing",
  journalabr =   "Computing (Vienna/New York)",
  keywords =     "algorithm; computer programming; square rooting",
}

@Article{Ardill:1979:ABF,
  author =       "R. W. B. Ardill and K. J. M. Moriarty",
  title =        "Accurate {Bessel} functions {$J_n(z)$}, {$Y_n(z)$},
                 {$H_n^{(1)}(z)$} and {$H_n^{(2)}(z)$} of integer order
                 and complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "17",
  number =       "3",
  pages =        "321--336",
  month =        jun,
  year =         "1979",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(79)90060-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Description of a program with accuracy
                 about $10^{-10}$.",
}

@Article{Atkins:1979:FSC,
  author =       "D. E. Atkins",
  title =        "{Fourth Symposium on Computer Arithmetic}: crunching
                 with quality and {LSI}",
  journal =      j-COMPUTER,
  volume =       "12",
  number =       "4",
  pages =        "94--97",
  month =        apr,
  year =         "1979",
  CODEN =        "CPTRB4",
  ISSN =         "0018-9162 (print), 1558-0814 (electronic)",
  bibdate =      "Thu Dec 12 07:20:54 MST 1996",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Computer arithmetic problems --- faster computation
                 rates and more efficient representations of real
                 numbers --- are considered in the paper. Floating-point
                 arithmetic standardization, novel implementation of
                 basic arithmetic operators, evaluation of elementary
                 functions --- these are the main considerations of the
                 conference review.",
  acknowledgement = ack-nhfb,
  classification = "722; 723",
  journalabr =   "Computer",
  keywords =     "computer arithmetic; computer systems, digital; data
                 processing --- data description; mathematical
                 techniques --- digital arithmetic",
}

@Article{Babb:1979:OEC,
  author =       "Stanley E. {Babb, Jr.} and James W. Cafky",
  title =        "Operational evaluation of certain infinite {Bessel}
                 function integrals",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "147",
  pages =        "1033--1039",
  month =        jul,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "44A99",
  MRnumber =     "80e:44002",
  MRreviewer =   "L. Arteaga",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4180 (Integral equations)",
  corpsource =   "Dept. of Phys. and Astron., Univ. of Oklahoma, Norman,
                 OK, USA",
  keywords =     "Bessel function integral; integration; numerical
                 methods; Schafheitlin method; trigonometric function;
                 Weber",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Campbell:1979:BFR,
  author =       "J. B. Campbell",
  title =        "{Bessel} functions {$J_\nu(x)$} and {$Y_\nu(x)$} of
                 real order and real argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "18",
  number =       "1",
  pages =        "133--142",
  month =        sep,
  year =         "1979",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(79)90030-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 06:01:26 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465579900304",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Carlson:1979:CEI,
  author =       "B. C. Carlson",
  title =        "Computing elliptic integrals by duplication",
  journal =      j-NUM-MATH,
  volume =       "33",
  number =       "1",
  pages =        "1--16",
  month =        mar,
  year =         "1979",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D20",
  MRnumber =     "80h:65008",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Logarithms, arctangents, and elliptic integrals of all
                 three kinds (including complete integrals) are
                 evaluated numerically by successive applications of the
                 duplication theorem. When the convergence is improved
                 by including a fixed number of terms of Taylor's
                 series, the error ultimately decreases by a factor of
                 4096 in each cycle of iteration. Except for Cauchy
                 principal values there is no separation of cases
                 according to the values of the variables, and no
                 serious cancellations occur if the variables are real
                 and nonnegative. Only rational operations and square
                 roots are required. An appendix contains a recurrence
                 relation and two new representations (in terms of
                 elementary symmetric functions and power sums) for
                 $R$-polynomials, as well as an upper bound for the
                 error made in truncating the Taylor series of an
                 $R$-function.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classification = "C4180 (Integral equations)",
  corpsource =   "Dept. of Math. and Phys., Iowa Univ., Ames, IA, USA",
  keywords =     "convergence; duplication theory; elliptic integral;
                 integration; numerical methods; R-polynomial; Taylor
                 series",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Cole:1979:EI,
  author =       "R. J. Cole and C. Pescatore",
  title =        "Evaluation of the Integral $\int_0^\infty t^n
                 \exp(-t^2 - x/t) \, dt$",
  journal =      j-J-COMPUT-PHYS,
  volume =       "32",
  number =       "2",
  pages =        "280--287",
  month =        aug,
  year =         "1979",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(79)90135-9",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:34 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999179901359",
  abstract =     "The main purpose of this paper is to provide a unified
                 approach to the treatment of linear recurrence
                 relations for single or pairs of order statistics.
                 Suppose such a relation has been proved in the simplest
                 case when $X_1, \ldots{}, X_n$ are independent variates
                 having an arbitrary absolutely continuous distribution.
                 It is pointed out that the same relation continues to
                 hold when the $X$'s are exchangeable, whether
                 continuous or not. As has recently become well known,
                 further generalizations are possible when the $X$'s
                 have any joint distribution. Attention is also drawn to
                 a useful nonlinear recurrence relation due to Boncelet
                 (1987).",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Computational Physics",
}

@Article{Conde:1979:Z,
  author =       "S. Conde and S. L. Kalla",
  title =        "The $\nu$-zeros of ${J}_{-\nu}(x)$",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "145",
  pages =        "423--426",
  month =        jan,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "80b:65021",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4170 (Differential equations); C4190 (Other numerical
                 methods)",
  corpsource =   "Facultad de Ingenieria, Univ. del Zulia, Maracaibo,
                 Venezuela",
  keywords =     "Bessel function; boundary value; boundary-value
                 problems; J/sub -v/(x); partial differential equations;
                 poles and zeros; problems; transforms; v-zeros",
  remark =       "Fullerton: With a microfiche supplement.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Delic:1979:CSS,
  author =       "G. Delic",
  title =        "{Chebyshev} series for the spherical {Bessel} function
                 $j_l(r)$",
  journal =      j-COMP-PHYS-COMM,
  volume =       "18",
  number =       "1",
  pages =        "73--86",
  month =        sep,
  year =         "1979",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(79)90025-0",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 06:01:26 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465579900250",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Einarsson:1979:BEN,
  author =       "Bo Einarsson",
  title =        "Bibliography on the evaluation of numerical software",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "5",
  number =       "2",
  pages =        "145--159",
  month =        jun,
  year =         "1979",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0771-050X(79)90011-1",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  bibdate =      "Thu Oct 28 17:14:49 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "This bibliography on the evaluation of numerical
                 software has been written at the request of the IFIP
                 Working Group on Numerical Software (IFIP WG 2.5), and
                 is divided into nine different sections. Within each
                 section the references are given in alphabetical order
                 by the first author. The aim of the bibliography is to
                 be useful in the production and evaluation of good
                 software for numerical mathematics.",
  acknowledgement = ack-nhfb,
  tableofcontents = "2. Miscellaneous evaluations \\
                 3. Linear algebra \\
                 4. Optimization and nonlinear equations \\
                 5. Functions \\
                 6. Quadrature \\
                 7. Integral equations \\
                 8. Ordinary differential equations \\
                 9. Partial differential equations",
}

@Article{elLozy:1979:RAS,
  author =       "Mohamed el Lozy",
  title =        "Remark on ``{Algorithm 395: Student's
                 $t$-Distribution}'' and Remark on ``{Algorithm 396:
                 Student's Quantiles [S14]}''",
  journal =      j-TOMS,
  volume =       "5",
  number =       "2",
  pages =        "238--239",
  month =        jun,
  year =         "1979",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Feb 06 05:28:16 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See
                 \cite{Hill:1970:AASa,Hill:1970:AASb,Hill:1981:RSD,Hill:1985:RCS}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The algorithms are corrected for computers
                 with anomalously small word lengths (e.g., IBM and
                 Interdata).",
}

@Article{Epstein:1979:STE,
  author =       "H. I. Epstein and B. F. Caviness",
  title =        "A structure theorem for the elementary functions and
                 its application to the identity problem",
  journal =      j-INT-J-COMPUT-INF-SCI,
  volume =       "8",
  number =       "1",
  pages =        "9--37",
  year =         "1979",
  CODEN =        "IJCIAH",
  ISSN =         "0091-7036",
  MRclass =      "12H05 (68C05)",
  MRnumber =     "80k:12032",
  MRreviewer =   "Michael F. Singer",
  bibdate =      "Sat Apr 26 12:45:53 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Fettis:1979:AEU,
  author =       "Henry E. Fettis",
  title =        "An asymptotic expansion for the upper percentage
                 points of the $\chi^{2}$-distribution",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "147",
  pages =        "1059--1064",
  month =        jul,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "62E20",
  MRnumber =     "80h:62014",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4130 (Interpolation and function approximation)",
  keywords =     "approximation theory; asymptotic expansion; upper
                 percentage point",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Gabutti:1979:HPM,
  author =       "Bruno Gabutti",
  title =        "On high precision methods for computing integrals
                 involving {Bessel} functions",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "147",
  pages =        "1049--1057",
  month =        jul,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D30",
  MRnumber =     "80c:65048",
  MRreviewer =   "K. Jetter",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4180 (Integral equations); C4240 (Programming and
                 algorithm theory)",
  corpsource =   "Istituto di Calcoli Numerici, Univ. di Torino, Torino,
                 Italy",
  keywords =     "Bessel function integral; computational complexity;
                 exponential function integral; integration",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gautschi:1979:AIG,
  author =       "W. Gautschi",
  title =        "{Algorithm 542}: Incomplete Gamma Functions [{S14}]",
  journal =      j-TOMS,
  volume =       "5",
  number =       "4",
  pages =        "482--489",
  month =        dec,
  year =         "1979",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355853.355864",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sun Aug 28 00:39:50 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: FORTRAN routines of adjustable accuracy.",
}

@Article{Gautschi:1979:CPI,
  author =       "Walter Gautschi",
  title =        "A Computational Procedure for Incomplete Gamma
                 Functions",
  journal =      j-TOMS,
  volume =       "5",
  number =       "4",
  pages =        "466--481",
  month =        dec,
  year =         "1979",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355853.355863",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sun Aug 28 00:32:50 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Algorithms for the incomplete gamma
                 function, $\gamma(a, x)$, the complementary function,
                 $\Gamma(a, x)$, and Tricomi's form, $\gamma'(a, x)$,
                 are given.",
}

@Article{Glasser:1979:NI,
  author =       "M. L. Glasser",
  title =        "A Note on the Integral $\int^\infty_0t^{2\alpha-1}(1 +
                 t^2)^{1-\alpha-\beta} {J}_\nu(x\sqrt{1 + t^2}) dt$",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "146",
  pages =        "792--793",
  month =        apr,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A40",
  MRnumber =     "80d:33004",
  MRreviewer =   "T. Erber",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C1120 (Mathematical analysis); C4180 (Integral
                 equations)",
  corpsource =   "Math. and Computer Sci. Dept., Clarkson Coll. of
                 Technol., Potsdam, NY, USA",
  keywords =     "Bessel functions; hypergeometric series; integral;
                 integral equations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Haavie:1979:GNT,
  author =       "Tore H{\aa}vie",
  title =        "Generalized {Neville} type extrapolation schemes",
  journal =      j-BIT,
  volume =       "19",
  number =       "2",
  pages =        "204--213",
  month =        jun,
  year =         "1979",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01930850",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65B05 (65D05 65D30)",
  MRnumber =     "80f:65005",
  MRreviewer =   "Siegfried Filippi",
  bibdate =      "Wed Jan 4 18:52:16 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=19&issue=2;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=19&issue=2&spage=204",
  acknowledgement = ack-nhfb,
}

@Article{Johnson:1979:RAF,
  author =       "Donald B. Johnson and Webb Miller and Brian Minnihan
                 and Celia Wrathall",
  title =        "Reducibility Among Floating-Point Graphs",
  journal =      j-J-ACM,
  volume =       "26",
  number =       "4",
  pages =        "739--760",
  month =        oct,
  year =         "1979",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  MRclass =      "65G05",
  MRnumber =     "80i:65045",
  bibdate =      "Fri Dec 08 11:55:10 1995",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "The graph-theoretic models of this paper can be used
                 to compare the rounding-error behavior of numerical
                 programs. The models follow the approach, popularized
                 by Wilkinson, of assuming independent rounding errors
                 in each arithmetic operation. Models constructed on
                 this assumption are more tractable than would be the
                 case under more realistic assumptions. There are
                 identified two easily tested conditions on programs
                 which guarantee that error analyses are relatively
                 insensitive to the particular graph model employed. The
                 development has the additional benefit of sometimes
                 providing an elementary proof that one program is
                 comparable in stability to another. Examples of such
                 results are given.",
  acknowledgement = ack-nhfb,
}

@Article{Leung:1979:AFE,
  author =       "K. V. Leung and S. S. Ghaderpanah",
  title =        "An application of the finite element approximation
                 method to find the complex zeros of the modified
                 {Bessel} function ${K}_{n}(z)$",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "148",
  pages =        "1299--1306",
  month =        oct,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (33-04)",
  MRnumber =     "80e:65024",
  MRreviewer =   "R. P. Boas, Jr.",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci., Concordia Univ., Montreal,
                 Que., Canada",
  keywords =     "Bessel function; complex zeros; finite element
                 analysis; finite element approximation method;
                 iterative optimisation scheme; modified; poles and
                 zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Maurone:1979:ABD,
  author =       "Philip A. Maurone and Alain J. Phares",
  title =        "On the asymptotic behavior of the derivatives of
                 {Airy} functions",
  journal =      j-J-MATH-PHYS,
  volume =       "20",
  number =       "11",
  pages =        "2191--2191",
  month =        nov,
  year =         "1979",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.523997",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "33A60",
  MRnumber =     "80j:33014",
  bibdate =      "Sat Oct 29 11:28:40 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v20/i11/p2191_s1",
  acknowledgement = ack-nhfb,
  classification = "A0230 (Function theory, analysis); A0365D
                 (Functional analytical methods in quantum theory);
                 A1235 (Composite models of particles)",
  corpsource =   "Dept. of Phys., Villanova Univ., Villanova, PA, USA",
  keywords =     "Airy functions; angular momentum theory; asymptotic
                 behavior; derivatives; functional analysis;
                 noniterative functional solution; quantum theory; quark
                 confinement; recursion relation",
  onlinedate =   "29 July 2008",
  pagecount =    "1",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Morris:1979:DFR,
  author =       "Robert Morris",
  title =        "The Dilogarithm Function of a Real Argument",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "146",
  pages =        "778--787",
  month =        apr,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (33A70)",
  MRnumber =     "80e:65025",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C4240 (Programming and algorithm theory)",
  corpsource =   "Bell Labs., Murray Hill, NJ, USA",
  keywords =     "algorithm theory; dilogarithm function; real
                 argument",
  remark =       "Fullerton: Relative errors down to $10^{-24}$ for
                 $\operatorname{Li}_2(z) = -\int_0^z \frac{\log(1 -
                 z)}{z} \, dz$. $\operatorname{Li}_2(z)$ is a form of
                 Spence's integral.",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Pexton:1979:DRT,
  author =       "Robert L. Pexton and Arno D. Steiger",
  title =        "Degenerate roots of three transcendental equations
                 involving spherical {Bessel} functions",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "147",
  pages =        "1041--1048",
  month =        jul,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "loose microfiche suppl. 65H10 (65D20)",
  MRnumber =     "80g:65057",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Lawrence Livermore Lab., Univ. of California,
                 Livermore, CA, USA",
  keywords =     "function approximation; spherical Bessel function;
                 transcendental equation",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Phillips:1979:FAC,
  author =       "G. Phillips",
  title =        "A fast approximation to the complementary error
                 function for use in fitting gamma-ray peaks",
  journal =      j-NUCL-INSTR-METH,
  volume =       "164",
  number =       "??",
  pages =        "561--563",
  month =        sep,
  year =         "1979",
  CODEN =        "NUIMAL",
  DOI =          "http://dx.doi.org/10.1016/0029-554X(79)90094-6",
  ISSN =         "0029-554X",
  bibdate =      "Mon Oct 24 11:37:20 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://adsabs.harvard.edu/abs/1979NucIM.164..561P",
  abstract =     "A fast approximation to the complementary error
                 function has been programmed and tested for use in the
                 peak-shape function for fitting peaks in gamma-ray
                 spectra. The function was compared for speed and
                 accuracy on the NRL ASC 7 computer to the mathematical
                 library version of the complementary error function.
                 The approximation has resulted in a 50\% time savings
                 in the computer program HYPERMET which was developed at
                 NRL for automatic analysis of gamma-ray spectra from
                 germanium detectors.",
  acknowledgement = ack-nhfb,
}

@Article{Risch:1979:APE,
  author =       "Robert H. Risch",
  title =        "Algebraic properties of the elementary functions of
                 analysis",
  journal =      j-AM-J-MATH,
  volume =       "101",
  number =       "4",
  pages =        "743--759",
  year =         "1979",
  CODEN =        "AJMAAN",
  ISSN =         "0002-9327 (print), 1080-6377 (electronic)",
  ISSN-L =       "0002-9327",
  MRclass =      "12H05",
  MRnumber =     "81b:12029",
  MRreviewer =   "J. L. Johnson",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Schulten:1979:AEC,
  author =       "Z. (or K. ??) Schulten and D. G. M. Anderson and R. G.
                 Gordon",
  title =        "An Algorithm for the Evaluation of the Complex {Airy}
                 Functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "31",
  number =       "1",
  pages =        "60--75",
  month =        apr,
  year =         "1979",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(79)90062-7",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sat Oct 30 10:34:34 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Computational Physics",
  remark =       "Fullerton: Simple formulae over the whole complex
                 plane are presented.",
}

@Article{Smith:1979:ALL,
  author =       "David A. Smith and William F. Ford",
  title =        "Acceleration of Linear and Logarithmic Convergence",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "16",
  number =       "2",
  pages =        "223--240",
  month =        apr,
  year =         "1979",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65B10",
  MRnumber =     "82a:65012",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
}

@Article{Takemasa:1979:CFC,
  author =       "T. Takemasa and T. Tamura and H. H. Wolter",
  title =        "{Coulomb} Functions with Complex Angular Momenta",
  journal =      j-COMP-PHYS-COMM,
  volume =       "17",
  number =       "4",
  pages =        "351--355",
  month =        jul # "\slash " # aug,
  year =         "1979",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(79)90097-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 30 11:14:02 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: Description of program CCOULOM, which works
                 only in the part of the $(\rho, \eta)$-plane where
                 $\eta^2 \ll \rho$ and $|\ell|^2 \ll \rho$.",
}

@Article{Temme:1979:AAP,
  author =       "N. M. Temme",
  title =        "An Algorithm with {ALGOL 60} Program for the
                 Computation of the Zeros of Ordinary {Bessel} Functions
                 and those of their Derivatives",
  journal =      j-J-COMPUT-PHYS,
  volume =       "32",
  number =       "2",
  pages =        "270--279",
  month =        aug,
  year =         "1979",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(79)90134-7",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sat Oct 30 11:23:13 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  fjournal =     "Journal of Computational Physics",
  remark =       "Fullerton: An adjustable-accuracy 100 line Algol
                 procedure is discussed.",
}

@Article{Terras:1979:DIG,
  author =       "Riho Terras",
  title =        "The determination of incomplete gamma functions
                 through analytic integration",
  journal =      j-J-COMPUT-PHYS,
  volume =       "31",
  number =       "1",
  pages =        "146--151",
  month =        apr,
  year =         "1979",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(79)90066-4",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:33 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999179900664",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Thacher:1979:NBR,
  author =       "Henry C. {Thacher, Jr.}",
  title =        "New Backward Recurrences for {Bessel} Functions",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "146",
  pages =        "744--764",
  month =        apr,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (33A40)",
  MRnumber =     "81b:65019",
  MRreviewer =   "R. G. Langebartel",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "C1120 (Mathematical analysis)",
  corpsource =   "Dept. of Computer Sci., Univ. of Kentucky, Lexington,
                 KY, USA",
  keywords =     "backward recurrences; Bessel functions; converges",
  treatment =    "N New Development; T Theoretical or Mathematical",
}

@Article{Brent:1980:SNA,
  author =       "Richard P. Brent and Edwin M. McMillan",
  title =        "Some new algorithms for high-precision computation of
                 {Euler}'s constant",
  journal =      j-MATH-COMPUT,
  volume =       "34",
  number =       "149",
  pages =        "305--312",
  month =        jan,
  year =         "1980",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "10-04 (10A40 68C05)",
  MRnumber =     "82g:10002",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  classcodes =   "B0290D (Functional analysis); C4120 (Functional
                 analysis)",
  corpsource =   "Univ. of California, Berkeley, CA, USA",
  keywords =     "Bessel functions; computation; Euler's constant;
                 function evaluation; high precision",
  remark =       "Fullerton: Calculation to 30,100 places is discussed,
                 but only a 3-digit value appears in the paper.",
  treatment =    "N New Development; T Theoretical or Mathematical",
}

@InProceedings{Brent:1980:UAE,
  author =       "R. P. Brent",
  title =        "Unrestricted Algorithms for Elementary and Special
                 Functions",
  crossref =     "Lavington:1980:IPP",
  pages =        "613--619",
  year =         "1980",
  bibdate =      "Thu Sep 01 11:55:31 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Brezinski:1980:GEA,
  author =       "C. Brezinski",
  title =        "A general extrapolation algorithm",
  journal =      j-NUM-MATH,
  volume =       "35",
  number =       "2",
  pages =        "175--187",
  month =        jun,
  year =         "1980",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65B05",
  MRnumber =     "81j:65015",
  MRreviewer =   "L. Fox",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation)",
  corpsource =   "UER IEEA, Univ. de Lille 1, Villeneuve d'Ascq,
                 France",
  fjournal =     "Numerische Mathematik",
  keywords =     "convergence acceleration; extrapolation; extrapolation
                 algorithm; linear extrapolation; rational
                 extrapolation; recursive algorithm; sequence
                 transformations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Char:1980:SCF,
  author =       "Bruce W. Char",
  title =        "On {Stieltjes}' continued fraction for the gamma
                 function",
  journal =      j-MATH-COMPUT,
  volume =       "34",
  number =       "150",
  pages =        "547--551",
  month =        apr,
  year =         "1980",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05 (65D20)",
  MRnumber =     "81b:65008",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: The first 41 coefficients to 40 digits are
                 given.",
}

@Book{Cody:1980:SME,
  author =       "W. J. Cody and W. Waite",
  title =        "Software Manual for the Elementary Functions",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "x + 269",
  year =         "1980",
  ISBN =         "0-13-822064-6",
  ISBN-13 =      "978-0-13-822064-8",
  LCCN =         "QA331 .C635 1980",
  bibdate =      "Thu Sep 1 10:12:51 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Coleman:1980:FSB,
  author =       "J. P. Coleman",
  title =        "A {Fortran} subroutine for the {Bessel} function
                 {$J_n(x)$} of order $0$ to $10$",
  journal =      j-COMP-PHYS-COMM,
  volume =       "21",
  number =       "1",
  pages =        "109--118",
  day =          "1",
  month =        dec,
  year =         "1980",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(80)90080-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 06:01:19 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465580900806",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Delahaye:1980:RNA,
  author =       "J. P. Delahaye and B. Germain-Bonne",
  title =        "{R}{\'e}sultats n{\'e}gatifs en acc{\'e}l{\'e}ration
                 de la convergence. ({French}) [{Negative} results in
                 convergence acceleration]",
  journal =      j-NUM-MATH,
  volume =       "35",
  number =       "4",
  pages =        "443--457",
  month =        nov,
  year =         "1980",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65B99 (40A99)",
  MRnumber =     "81k:65007",
  MRreviewer =   "Claude Brezinski",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation);
                 C4240 (Programming and algorithm theory)",
  corpsource =   "Univ. des Sci. et Tech. de Lille I, Villeneuve d'Ascq,
                 France",
  keywords =     "acceleration; algorithm; approximation theory;
                 computational complexity; convergence; convergence
                 acceleration; convergence of numerical methods",
  language =     "French",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ditkin:1980:CSF,
  author =       "V. A. Ditkin and K. A. Karpov and M. K. Kerimov",
  title =        "The computation of special functions",
  journal =      j-USSR-COMP-MATH-MATH-PHYS,
  volume =       "20",
  number =       "5",
  pages =        "3--12",
  year =         "1980",
  CODEN =        "CMMPA9",
  ISSN =         "0041-5553, 0502-9902",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.2.1; G.1.2",
  CRclass =      "G.2.1 Combinatorics; G.2.1 Generating functions; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, DISCRETE MATHEMATICS,
                 Combinatorics, Generating functions; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  genterm =      "algorithms; design",
  guideno =      "09092",
  journalabr =   "USSR Comput. Math. Math. Phys",
  jrldate =      "1980",
  subject =      "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Eckhardt:1980:AWE,
  author =       "Ulrich Eckhardt",
  title =        "{Algorithm 549}: {Weierstrass}' Elliptic Functions
                 [{S21}]",
  journal =      j-TOMS,
  volume =       "6",
  number =       "1",
  pages =        "112--120",
  month =        mar,
  year =         "1980",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355873.355884",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Mon Aug 29 10:31:24 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  keywords =     "Weierstrass' elliptic functions",
  remark =       "Fullerton: A complex FORTRAN algorithm with accuracy
                 down to $10^{-18}$ is given",
}

@Article{Fransen:1980:HPV,
  author =       "Arne Frans{\'e}n and Staffan Wrigge",
  title =        "High-precision values of the gamma function and of
                 some related coefficients",
  journal =      j-MATH-COMPUT,
  volume =       "34",
  number =       "150",
  pages =        "553--566",
  month =        apr,
  year =         "1980",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05 (65D20)",
  MRnumber =     "81f:65004",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Sat Apr 01 10:12:58 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  note =         "See addendum and corrigendum
                 \cite{Fransen:1981:ACH}.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 80D values of coefficients in the Taylor
                 series for $\Gamma^m(s + x)$ are given.",
}

@TechReport{Fullerton:1980:BEM,
  author =       "L. W. Fullerton",
  title =        "A Bibliography on the Evaluation of Mathematical
                 Functions",
  type =         "Technical report",
  number =       "TM 80-1274-4 and CSTR 86",
  institution =  "Bell Telephone Laboratories",
  address =      "Murray Hill, NJ, USA",
  month =        sep,
  year =         "1980",
  bibdate =      "Sat Feb 05 17:39:14 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Unpublished{Kahan:1980:SPI,
  author =       "W. Kahan",
  title =        "Software {$\sqrt{x}$} for the Proposed {IEEE}
                 Floating-Point Standard",
  institution =  inst-BERKELEY-CS,
  address =      inst-BERKELEY-CS:adr,
  pages =        "????",
  day =          "25",
  month =        aug,
  year =         "1980",
  bibdate =      "Mon Apr 25 18:24:02 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Manuscript",
  acknowledgement = ack-nhfb,
  mynote =       "Dated August 25 1980",
}

@Article{Kasperkovitz:1980:AAM,
  author =       "P. Kasperkovitz",
  title =        "Asymptotic approximations for modified {Bessel}
                 functions",
  journal =      j-J-MATH-PHYS,
  volume =       "21",
  number =       "1",
  pages =        "6--13",
  month =        jan,
  year =         "1980",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.524310",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "33A40",
  MRnumber =     "81a:33012",
  MRreviewer =   "N. Hayek Calil",
  bibdate =      "Sat Oct 29 18:18:22 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v21/i1/p6_s1",
  acknowledgement = ack-nhfb,
  onlinedate =   "21 July 2008",
  pagecount =    "8",
}

@Article{Langebartel:1980:FER,
  author =       "R. G. Langebartel",
  title =        "{Fourier} expansions of rational fractions of elliptic
                 integrals and {Jacobian} elliptic functions",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "11",
  number =       "3",
  pages =        "506--513",
  month =        may,
  year =         "1980",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "42A16 (33A25)",
  MRnumber =     "81e:42008",
  MRreviewer =   "R. C. Varma",
  bibdate =      "Sat Dec 5 18:14:13 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Maksymiv:1980:APT,
  author =       "E. M. Maksymiv",
  booktitle =    "Differentsialnye Uravneniya i ikh Prilozhen",
  title =        "Approximate properties of {Thiele}'s formula in a
                 class of elementary functions. ({Russian})",
  volume =       "141",
  publisher =    "Vestnik L'vov. Politekhn. Inst.",
  address =      "L'vov, USSR",
  pages =        "55--56",
  year =         "1980",
  MRclass =      "119.65D20",
  MRnumber =     "81i:65021",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{OBrien:1980:SBF,
  author =       "D. M. O'Brien",
  title =        "Spherical {Bessel} functions of large order",
  journal =      j-J-COMPUT-PHYS,
  volume =       "36",
  number =       "1",
  pages =        "128--132",
  month =        jun,
  year =         "1980",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(80)90177-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:01 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999180901771",
  abstract =     "This note introduces functions $b_n(x)$, related to
                 spherical Bessel functions $j_n(x)$ and $y_n(x)$. They
                 are scaled so that they are bounded functions of $n$
                 and polynomially bounded functions of $x$, and
                 therefore avoid the problems of underflow and overflow
                 which are so common with Bessel functions. They can be
                 generated from a stable recurrence relation for which
                 starting values are readily computable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@InProceedings{Olver:1980:UAG,
  author =       "F. W. J. Olver",
  title =        "Unrestricted algorithms for generating elementary
                 functions",
  crossref =     "Alefeld:1980:PSE",
  pages =        "131--140",
  year =         "1980",
  MRclass =      "65G05 (65D15)",
  MRnumber =     "82b:65034",
  MRreviewer =   "John Todd",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Pedersen:1980:HBM,
  author =       "P. W. Pedersen",
  title =        "Hvordan beregner man kvadratroden? \toenglish {How do
                 you calculate the square root?} \endtoenglish",
  journal =      "Elektronik (Denmark)",
  volume =       "??",
  number =       "4",
  pages =        "18--21",
  month =        apr,
  year =         "1980",
  bibdate =      "Fri Sep 16 16:30:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Rengarajan:1980:MFI,
  author =       "S. R. Rengarajan and J. E. Lewis.",
  title =        "{Mathieu} Functions of Integral Order and Real
                 Arguments,",
  journal =      j-IEEE-TRANS-MICROWAVE-THEORY-TECH,
  volume =       "28",
  number =       "3",
  pages =        "276--277",
  month =        mar,
  year =         "1980",
  CODEN =        "IETMAB",
  DOI =          "http://dx.doi.org/10.1109/TMTT.1980.1130060",
  ISSN =         "0018-9480",
  bibdate =      "Sat Oct 30 10:09:01 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "To compute Mathieu functions, modified Mathieu
                 functions and related parameters for integral orders
                 and real arguments, encountered in wave propagation
                 involving elliptic geometries.",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: A long FORTRAN program is very briefly
                 described. This work is superior to that of Clemm
                 (1969), because $q$ may be negative.",
}

@Article{Schonfelder:1980:VHA,
  author =       "J. L. Schonfelder",
  title =        "Very high accuracy {Chebyshev} expansions for the
                 basic trigonometric functions",
  journal =      j-MATH-COMPUT,
  volume =       "34",
  number =       "149",
  pages =        "237--244",
  month =        jan,
  year =         "1980",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "81f:65016",
  MRreviewer =   "Claude Carasso",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  citedby =      "Fullerton:1980:BEM",
  remark =       "Fullerton: 40D coefficients for the sine, cosine and
                 tangent are given.",
}

@Book{Sneddon:1980:SFM,
  author =       "Ian Naismith Sneddon",
  title =        "Special functions of mathematical physics and
                 chemistry",
  publisher =    "Longman",
  address =      "London, UK",
  edition =      "Third",
  pages =        "ix + 182",
  year =         "1980",
  ISBN =         "0-582-44396-2 (paperback)",
  ISBN-13 =      "978-0-582-44396-9 (paperback)",
  LCCN =         "QA351 .S64 1980",
  bibdate =      "Sat Oct 30 18:25:01 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Longman mathematical texts",
  acknowledgement = ack-nhfb,
  remark =       "See first edition \cite{Sneddon:1956:SFM} and second
                 edition \cite{Sneddon:1961:SFM}.",
  subject =      "Functions, Special",
}

@InCollection{Tretjakov:1980:PSE,
  author =       "V. A. Tret'jakov",
  booktitle =    "Mathematical analysis and the theory of functions
                 ({Russian}),",
  title =        "On the properties of some elementary functions that
                 are defined on the algebra of bicomplex numbers.
                 ({Russian})",
  publisher =    "Moskov. Oblast. Ped. Inst.,",
  address =      "Moscow, USSR",
  pages =        "99--106",
  year =         "1980",
  MRclass =      "30G35 (78A35)",
  MRnumber =     "82i:30069",
  MRreviewer =   "Toma V. Tonev",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@PhdThesis{vonGudenberg:1980:EAR,
  author =       "J. Wolff {von Gudenberg}",
  title =        "{Einbettung allgemeiner Rechnerarithmetik in Pascal
                 mittels eines Operatorkonzepts und Implementierung der
                 Standardfunktionen mit optimaler Genauigkeit}
                 \toenglish {Embedding a General Computer Arithmetic in
                 Pascal by Means of an Operator Concept and the
                 Implementation of Elementary Functions with Optimal
                 Accuracy} \endtoenglish",
  type =         "Dissertation",
  school =       "Universit{\"a}t Karlsruhe",
  address =      "Karlsruhe, Germany",
  pages =        "????",
  year =         "1980",
  bibdate =      "Sun Oct 25 10:29:29 1998",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Waldecker:1980:NSR,
  author =       "D. E. Waldecker",
  title =        "Nonrestoring Square Root with Simplified Answer
                 Generation",
  journal =      j-IBM-TDB,
  volume =       "22",
  number =       "11",
  pages =        "4807--4808",
  month =        apr,
  year =         "1980",
  CODEN =        "IBMTAA",
  ISSN =         "0018-8689",
  bibdate =      "Thu Sep 1 10:15:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Bice:1981:AAS,
  author =       "P. K. Bice",
  title =        "Algorithm adds square root to micro's arithmetic
                 capability",
  journal =      j-ELECTRONIC-DESIGN,
  volume =       "29",
  number =       "11",
  pages =        "146",
  month =        may,
  year =         "1981",
  CODEN =        "ELODAW",
  ISSN =         "0013-4872",
  bibdate =      "Thu Sep 1 10:15:42 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Branrers:1981:RAZ,
  author =       "M. Branrers and R. Piessens and M. {De Meue}",
  title =        "Rational approximations for zeros of {Bessel}
                 functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "42",
  number =       "2",
  pages =        "403--405",
  month =        aug,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(81)90253-9",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:07 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181902539",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Campbell:1981:BFR,
  author =       "J. B. Campbell",
  title =        "{Bessel} functions {$I_\nu(z)$} and {$K_\nu(z)$} of
                 real order and complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "24",
  number =       "1",
  pages =        "97--105",
  month =        sep # "\slash " # oct,
  year =         "1981",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(81)90109-0",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:27:59 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465581901090",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Carlson:1981:AAI,
  author =       "B. C. Carlson and Elaine M. Notis",
  title =        "{Algorithm 577}: Algorithms for Incomplete Elliptic
                 Integrals [{S21}]",
  journal =      j-TOMS,
  volume =       "7",
  number =       "3",
  pages =        "398--403",
  month =        sep,
  year =         "1981",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355958.355970",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Mon Aug 29 22:58:27 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "$R$-functions; elliptic integrals; inverse circular
                 functions; inverse hyperbolic functions; logarithms",
}

@Article{Chen:1981:AFD,
  author =       "Gang Chen",
  title =        "An attempt to find the derivatives of elementary
                 functions using the algorithmic language {BCY}.
                 ({Chinese})",
  journal =      "Zhejiang Daxue Xuebao",
  volume =       "3",
  pages =        "141--149",
  year =         "1981",
  MRclass =      "26A09",
  MRnumber =     "714 524",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Davis:1981:EFA,
  author =       "Diane F. Davis",
  title =        "Elementary Functions on an Array Processor",
  crossref =     "IEEE:1981:PIS",
  pages =        "170--178",
  year =         "1981",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/arith.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Delahaye:1981:ACS,
  author =       "J.-P. Delahaye",
  title =        "Acc{\'e}l{\'e}ration de la convergence des suites dont
                 le rapport des erreurs est born{\'e}. ({French})
                 [{Convergence} acceleration for sequences with bounded
                 error ratios]",
  journal =      j-CALCOLO,
  volume =       "18",
  number =       "2",
  pages =        "1--116",
  year =         "1981",
  CODEN =        "CDABAE",
  DOI =          "http://dx.doi.org/10.1007/BF02576491",
  ISSN =         "0008-0624 (print), 1126-5434 (electronic)",
  ISSN-L =       "0008-0624",
  MRclass =      "65B05",
  MRnumber =     "647821 (83a:65004)",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo",
  keywords =     "convergence acceleration",
  language =     "{French}",
}

@InProceedings{Farmwald:1981:HBE,
  author =       "P. Michael Farmwald",
  title =        "High Bandwidth Evaluation of Elementary Functions",
  crossref =     "IEEE:1981:PIS",
  pages =        "139--142",
  year =         "1981",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/arith.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Fettis:1981:TEHb,
  author =       "Henry E. Fettis",
  title =        "Table errata: {{\em Handbook of elliptic integrals for
                 engineers and physicists} [second edition, Springer,
                 New York, 1971 and MR {\bf 43} \#3506] by P. F. Byrd
                 and M. D. Friedman}",
  journal =      j-MATH-COMPUT,
  volume =       "36",
  number =       "153",
  pages =        "317--317",
  month =        jan,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05",
  MRnumber =     "82a:65008a",
  bibdate =      "Sat Apr 12 15:32:35 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Fettis:1981:TETb,
  author =       "Henry E. Fettis",
  title =        "Table errata: {{\em A table of the complete elliptic
                 integral of the first kind for complex values of the
                 modulus, Part I} [Rep. No. ARL 69-0172, Aerospace Res.
                 Lab., Wright--Patterson Air Force Base, Ohio, 1969; MR
                 {\bf 40} \#6725] by Fettis and J. C. Caslin}",
  journal =      j-MATH-COMPUT,
  volume =       "36",
  number =       "153",
  pages =        "318",
  month =        jan,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "318.65A05",
  MRnumber =     "82a:65010",
  bibdate =      "Sat Jan 11 13:29:06 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Fransen:1981:ACH,
  author =       "Arne Frans{\'e}n",
  title =        "Addendum and corrigendum to: {``High-precision values
                 of the gamma function and of some related
                 coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150,
                 553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}",
  journal =      j-MATH-COMPUT,
  volume =       "37",
  number =       "155",
  pages =        "233--235",
  month =        jul,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05 (65D20)",
  MRnumber =     "82m:65002",
  bibdate =      "Sat Apr 01 10:12:58 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  note =         "See \cite{Fransen:1980:HPV}.",
  acknowledgement = ack-nhfb,
}

@Article{Fredette:1981:RES,
  author =       "G. Fredette",
  title =        "68000 routine extracts square roots",
  journal =      j-EDN,
  volume =       "26",
  number =       "16",
  pages =        "185--194",
  month =        aug,
  year =         "1981",
  CODEN =        "EDNSBH",
  ISSN =         "0012-7515, 0364-6637",
  bibdate =      "Thu Sep 1 10:15:56 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@TechReport{Fullerton:1981:FUMa,
  author =       "L. W. Fullerton",
  title =        "{FNLIB} User's Manual Explanatory Table of Contents",
  type =         "Technical report",
  number =       "CSTR 92",
  institution =  "Bell Telephone Laboratories",
  address =      "Murray Hill, NJ, USA",
  month =        mar,
  year =         "1981",
  bibdate =      "Sat Feb 05 17:39:14 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Fullerton:1981:FUMb,
  author =       "L. W. Fullerton",
  title =        "{FNLIB} User's Manual",
  type =         "Technical report",
  number =       "CSTR 95",
  institution =  "Bell Telephone Laboratories",
  address =      "Murray Hill, NJ, USA",
  month =        mar,
  year =         "1981",
  bibdate =      "Sat Feb 05 17:39:14 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gasper:1981:SFB,
  author =       "George Gasper",
  title =        "Summation Formulas for Basic Hypergeometric Series",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "12",
  number =       "2",
  pages =        "196--200",
  month =        mar,
  year =         "1981",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A30",
  MRnumber =     "82a:33005",
  MRreviewer =   "L. J. Slater",
  bibdate =      "Sun Nov 28 19:22:39 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/12/2;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
}

@Article{Glasser:1981:CBS,
  author =       "M. L. Glasser",
  title =        "A Class of {Bessel} Summations",
  journal =      j-MATH-COMPUT,
  volume =       "37",
  number =       "156",
  pages =        "499--501",
  month =        oct,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A40 (42A16 44A15)",
  MRnumber =     "82j:33015",
  MRreviewer =   "B. D. Agrawal",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0220 (Mathematical analysis); C1120 (Mathematical
                 analysis)",
  corpsource =   "Dept. of Math. and Computer Sci., Clarkson Coll.,
                 Potsdam, NY, USA",
  keywords =     "Bessel functions; Bessel summations; infinite series",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Haavie:1981:RUT,
  author =       "Tore H{\aa}vie",
  title =        "Remarks on a unified theory for classical and
                 generalized interpolation and extrapolation",
  journal =      j-BIT,
  volume =       "21",
  number =       "4",
  pages =        "465--474",
  month =        dec,
  year =         "1981",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01932843",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "41A05 (65D05)",
  MRnumber =     "83d:41004",
  MRreviewer =   "G. M{\"u}hlbach",
  bibdate =      "Wed Jan 4 18:52:17 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=21&issue=4;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=21&issue=4&spage=465",
  acknowledgement = ack-nhfb,
}

@Article{Hill:1981:RSD,
  author =       "G. W. Hill",
  title =        "Remark on ``{Algorithm 395: Student's
                 $t$-Distribution}''",
  journal =      j-TOMS,
  volume =       "7",
  number =       "2",
  pages =        "247--249",
  month =        jun,
  year =         "1981",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Feb 06 05:28:18 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See
                 \cite{Hill:1970:AASa,Hill:1970:AASb,elLozy:1979:RAS}.",
  acknowledgement = ack-nhfb,
}

@Article{Hill:1981:RSQ,
  author =       "G. W. Hill",
  title =        "Remark on ``{Algorithm 396: Student's
                 $t$-Quantiles}''",
  journal =      j-TOMS,
  volume =       "7",
  number =       "2",
  pages =        "250--251",
  month =        jun,
  year =         "1981",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Feb 06 05:28:19 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Hill:1970:AASb}.",
  acknowledgement = ack-nhfb,
}

@Article{Hough:1981:API,
  author =       "D. Hough",
  title =        "Application of the proposed {IEEE 754} standard for
                 floating-point arithmetic",
  journal =      j-COMPUTER,
  volume =       "14",
  number =       "3",
  pages =        "70--74",
  year =         "1981",
  CODEN =        "CPTRB4",
  ISSN =         "0018-9162 (print), 1558-0814 (electronic)",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1981.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  annote =       "Various features of the proposed standard provide an
                 especially convenient environment for programming
                 numerical procedures such as the familiar elementary
                 functions.",
  bydate =       "MB",
  byrev =        "Le",
  country =      "USA",
  date =         "14/06/82",
  descriptors =  "Computer arithmetic; floating point; computation
                 structure; method; application; standard;",
  enum =         "1418",
  language =     "English",
  location =     "RWTH-AC-DFV: Bibl.",
  references =   "10",
  revision =     "21/04/91",
}

@Article{James:1981:LTS,
  author =       "D. G. James",
  title =        "Linear transformations of the second elementary
                 function",
  journal =      j-LIN-MULT-ALGEBRA,
  volume =       "10",
  number =       "4",
  pages =        "347--349",
  year =         "1981",
  CODEN =        "LNMLAZ",
  ISSN =         "0308-1087",
  MRclass =      "15A69 (10C15)",
  MRnumber =     "83c:15023",
  MRreviewer =   "E. W. Ellers",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Kunz:1981:QZ,
  author =       "W. Kunz",
  title =        "{Quadratwurzel mit dem {$\mu$P Z80}} \toenglish
                 {Square Roots with the {Z80} Microprocessor}
                 \endtoenglish",
  journal =      j-ELECTRONIK,
  volume =       "7",
  pages =        "109--110",
  year =         "1981",
  CODEN =        "EKRKAR",
  ISSN =         "0013-5658",
  bibdate =      "Fri Sep 16 16:30:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@InCollection{Longman:1981:DCA,
  author =       "I. M. Longman",
  booktitle =    "{Pad{\'e} approximation and its applications,
                 Amsterdam 1980 (Amsterdam, 1980)}",
  title =        "Difficulties of convergence acceleration",
  volume =       "888",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "273--289",
  year =         "1981",
  MRclass =      "65B10",
  MRnumber =     "649102 (83d:65013)",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Lecture Notes in Mathematics",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Maino:1981:CPC,
  author =       "G. Maino and E. Menapace and A. Ventura",
  title =        "Computation of parabolic cylinder functions by means
                 of a {Tricomi} expansion",
  journal =      j-J-COMPUT-PHYS,
  volume =       "40",
  number =       "2",
  pages =        "294--304",
  month =        apr,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(81)90211-4",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:06 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181902114",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Markov:1981:ICE,
  author =       "S. M. Markov",
  title =        "On the interval computation of elementary functions",
  journal =      j-C-R-ACAD-BULGARE-SCI,
  volume =       "34",
  number =       "3",
  pages =        "319--322",
  year =         "1981",
  CODEN =        "DBANAD",
  ISSN =         "0366-8681",
  MRclass =      "65G10",
  MRnumber =     "83e:65084",
  MRreviewer =   "David F. Griffiths",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{McCullagh:1981:RCS,
  author =       "Peter McCullagh",
  title =        "A rapidly convergent series for computing $\psi (z)$
                 and its derivatives",
  journal =      j-MATH-COMPUT,
  volume =       "36",
  number =       "153",
  pages =        "247--248",
  month =        jan,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (33A15)",
  MRnumber =     "81m:65028",
  MRreviewer =   "J. Gregor",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2007741",
  acknowledgement = ack-nhfb,
  classcodes =   "C4120 (Functional analysis)",
  corpsource =   "Imperial Coll. of Sci. and Technol., London, UK",
  keywords =     "(mathematics); convergence; function evaluation; log
                 gamma function; poles; poles and zeros; rapidly
                 convergent series; series; series expansion; uniformly
                 convergent",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Moon:1981:AFC,
  author =       "Wooil Moon",
  title =        "{Airy} function with complex arguments",
  journal =      j-COMP-PHYS-COMM,
  volume =       "22",
  number =       "4",
  pages =        "411--417",
  month =        may,
  year =         "1981",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(81)90138-7",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 09:27:06 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465581901387",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@InProceedings{Peng:1981:AES,
  author =       "Hong Peng",
  title =        "Algorithms for extracting square roots and cube
                 roots",
  crossref =     "IEEE:1981:PSC",
  pages =        "121--126",
  year =         "1981",
  bibdate =      "Thu Sep 01 11:37:17 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Peng.pdf",
  abstract =     "This paper describes a kind of algorithms for fast
                 extracting square roots and cube roots, their
                 mathematical proofs, their revised algorithm formulae,
                 and hardware implementation of the square root
                 algorithm. These algorithms may be of no significance
                 for large scale computer with fast division. But I am
                 sure that it is effective and economical to apply these
                 algorithms to the circuit designs of some mini- and
                 microcomputers with general multiplication and
                 division, such as nonrestoring division.",
  acknowledgement = ack-nj,
  keywords =     "ARITH-5",
}

@Article{Razaz:1981:RAF,
  author =       "M. Razaz and J. L. Schonfelder",
  title =        "Remark on ``{Algorithm} 498: {Airy} Functions Using
                 {Chebyshev} Series Approximations''",
  journal =      j-TOMS,
  volume =       "7",
  number =       "3",
  pages =        "404--405",
  month =        sep,
  year =         "1981",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/355958.355971",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Aug 30 00:28:07 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Prince:1975:AAF}.",
  acknowledgement = ack-nhfb,
}

@Article{Schulten:1981:NAE,
  author =       "Z. Schulten and R. G. Gordon and D. G. M. Anderson",
  title =        "A numerical algorithm for the evaluation of {Weber}
                 parabolic cylinder functions {$U(a, x)$}, {$V(a, x)$},
                 and {$W(a, \pm x)$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "42",
  number =       "2",
  pages =        "213--237",
  month =        aug,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(81)90241-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:07 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181902412",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Smith:1981:ERA,
  author =       "J. M. Smith and F. W. J. Olver and D. W. Lozier",
  title =        "Extended-Range Arithmetic and Normalized {Legendre}
                 Polynomials",
  journal =      j-TOMS,
  volume =       "7",
  number =       "1",
  pages =        "93--105",
  month =        mar,
  year =         "1981",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65D20 (65G05)",
  MRnumber =     "83a:65017",
  bibdate =      "Mon Aug 29 22:02:12 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://doi.acm.org/10.1145/355934.355940",
  acknowledgement = ack-nhfb,
  keywords =     "angular momentum; extended-range arithmetic; Legendre
                 polynomials; overflow; underflow",
}

@Article{Steinberg:1981:LSE,
  author =       "D. Steinberg and M. Rodeh",
  title =        "A layout for the shuffle-exchange network with
                 {$O(N^2/\log^{3/2}N)$} area",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-30",
  number =       "12",
  pages =        "977--982",
  month =        dec,
  year =         "1981",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1981.1675738",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "C.1.2; G.1.2",
  CRclass =      "C.1.2 Multiple Data Stream Architectures
                 (Multiprocessors); C.1.2 Interconnection architectures;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Computer Systems Organization, PROCESSOR
                 ARCHITECTURES, Multiple Data Stream Architectures
                 (Multiprocessors), Interconnection architectures;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "design",
  guideno =      "06519",
  jrldate =      "Dec. 1981",
  subject =      "C. Computer Systems Organization; C.1 PROCESSOR
                 ARCHITECTURES; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}

@Article{Steinhardt:1981:ASF,
  author =       "Paul J. Steinhardt and P. Chaudhari",
  title =        "{Airy} stress function for atomic models",
  journal =      j-J-COMPUT-PHYS,
  volume =       "42",
  number =       "2",
  pages =        "266--276",
  month =        aug,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(81)90244-8",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:07 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181902448",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@InProceedings{Taylor:1981:CHD,
  author =       "George S. Taylor",
  title =        "Compatible hardware for division and square root",
  crossref =     "IEEE:1981:PSC",
  pages =        "127--134",
  year =         "1981",
  bibdate =      "Mon Sep 16 16:30:51 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Taylor.pdf",
  abstract =     "Hardware for radix four division and radix two square
                 root is shared in a processor designed to implement the
                 proposed IEEE floating-point standard. The division
                 hardware looks ahead to find the next quotient digit in
                 parallel with the next partial remainder. An 8-bit ALU
                 estimates the next remainder's leading bits. The
                 quotient digit look-up table is addressed with a
                 truncation of the estimate rather than a truncation of
                 the full partial remainder. The estimation ALU and the
                 look-up table are asymmetric for positive and negative
                 remainders. This asymmetry reduces the width of the ALU
                 and the number of minterms in the logic equations for
                 the look-up table. The square root algorithm obtains
                 the correctly rounded result in about two division
                 times using small extensions to the division
                 hardware.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-5",
}

@Article{Terras:1981:ASI,
  author =       "Riho Terras",
  title =        "Algorithms for some integrals of {Bessel} functions
                 and multivariate {Gaussian} integrals",
  journal =      j-J-COMPUT-PHYS,
  volume =       "41",
  number =       "1",
  pages =        "192--199",
  month =        may,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(81)90087-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:06 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181900875",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Terras:1981:MAI,
  author =       "Riho Terras",
  title =        "A {Miller} algorithm for an incomplete {Bessel}
                 function",
  journal =      j-J-COMPUT-PHYS,
  volume =       "39",
  number =       "1",
  pages =        "233--240",
  month =        jan,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(81)90147-9",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:04 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181901479",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Vogelius:1981:DRM,
  author =       "M. Vogelius and I. Babuska",
  title =        "On a dimensional reduction method. {II}. {Some}
                 approximation-theoretic results",
  journal =      j-MATH-COMPUT,
  volume =       "37",
  number =       "155",
  pages =        "47--68",
  month =        jul,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.1.7",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.7 Ordinary Differential Equations;
                 G.1.7 Boundary value problems",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Boundary value problems",
  genterm =      "theory",
  guideno =      "09396",
  jrldate =      "July 1981",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Book{Wimp:1981:STT,
  author =       "Jet Wimp",
  title =        "Sequence Transformations and Their Applications",
  volume =       "154",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xix + 257",
  year =         "1981",
  ISBN =         "0-08-095662-9 (e-book), 0-12-757940-0",
  ISBN-13 =      "978-0-08-095662-6 (e-book), 978-0-12-757940-5",
  LCCN =         "QA292 .W54",
  bibdate =      "Thu Dec 1 11:08:47 MST 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Mathematics in Science and Engineering",
  URL =          "http://public.eblib.com/EBLPublic/PublicView.do?ptiID=453177",
  acknowledgement = ack-nhfb,
  subject =      "Sequences (Mathematics) Transformations (Mathematics)
                 Numerical analysis; Acceleration of convergence",
  tableofcontents = "Front Cover \\
                 Sequence Transformations and Their Applications \\
                 Copyright Page \\
                 Contents \\
                 Preface \\
                 Acknowledgments \\
                 Notation \\
                 Chapter 1. Sequences and Series \\
                 Chapter 2. Linear Transformations \\
                 Chapter 3. Linear Lozenge Methods \\
                 Chapter 4. Optimal Methods and Methods Based on Power
                 Series \\
                 Chapter 5. Nonlinear Lozenges \\
                 Iteration Sequences \\
                 Chapter 6. The Schmidt Transformation \\
                 The e-Algorithm \\
                 Chapter 7. Aitken's $d^2$-Process and Related Methods
                 \\
                 Chapter 8. Lozenge Algorithms and the Theory of
                 Continued Fractions \\
                 Chapter 9. Other Lozenge Algorithms and Nonlinear
                 MethodsChapter 10. The Brezinski--H{\aa}vie
                 ProtocolChapter 11. The Brezinski--H{\aa}vie Protocol
                 and Numerical Quadrature \\
                 Chapter 12. Probabilistic Methods \\
                 Chapter 13. Multiple Sequences \\
                 Appendix \\
                 Bibliography \\
                 Index",
}

@Article{Andrews:1982:MMS,
  author =       "M. Andrews",
  title =        "Mathematical Microprocessor Software: {A} $\sqrt(x)$
                 Comparison",
  journal =      j-IEEE-MICRO,
  volume =       "2",
  number =       "3",
  pages =        "63--79",
  month =        may,
  year =         "1982",
  CODEN =        "IEMIDZ",
  DOI =          "http://dx.doi.org/10.1109/MM.1982.290970",
  ISSN =         "0272-1732 (print), 1937-4143 (electronic)",
  ISSN-L =       "0272-1732",
  bibdate =      "Thu Dec 14 06:08:58 MST 2000",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeemicro.bib;
                 Science Citation Index database (1980--2000)",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation);
                 C6150G (Diagnostic, testing, debugging and evaluating
                 systems)",
  corpsource =   "Colorado State Univ., Fort Collins, CO, USA",
  fjournal =     "IEEE Micro",
  keywords =     "16-bit machines; 8-bit machine; accuracy; Chen method;
                 computer testing; Cordic method; direct method;
                 function approximation; hardware; Intel 8080; Newton
                 method; PDP-11/20; software requirements; speed;
                 square-roots",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Armengou:1982:ASQ,
  author =       "Santiago Zarzuela Armengou",
  title =        "About some questions of differential algebra
                 concerning to elementary functions",
  journal =      "Publ. Sec. Mat. Univ. Aut{\`o}noma Barcelona",
  volume =       "26",
  number =       "1",
  pages =        "5--15",
  year =         "1982",
  MRclass =      "12H05",
  MRnumber =     "86i:12009",
  MRreviewer =   "Michael F. Singer",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Barnett:1982:CCB,
  author =       "A. R. Barnett",
  title =        "{COULFG}: {Coulomb} and {Bessel} functions and their
                 derivatives, for real arguments, by {Steed}'s method",
  journal =      j-COMP-PHYS-COMM,
  volume =       "27",
  number =       "2",
  pages =        "147--166",
  month =        aug,
  year =         "1982",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(82)90070-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:03 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465582900704",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Barnett:1982:CFE,
  author =       "A. R. Barnett",
  title =        "Continued-fraction evaluation of {Coulomb} functions
                 {$F_\lambda(\eta, x)$}, {$G_\lambda(\eta, x)$} and
                 their derivatives",
  journal =      j-J-COMPUT-PHYS,
  volume =       "46",
  number =       "2",
  pages =        "171--188",
  month =        may,
  year =         "1982",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(82)90012-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:11 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999182900122",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@TechReport{Bazarov:1982:EEF,
  author =       "M. B. Bazarov and Yu. I. Shokin and Z. Kh. Yuldashev",
  title =        "On the Evaluation of Elementary Functions in Interval
                 Analysis (In {Russian})",
  institution =  "Applied Mathematics and Mechanics, Tashkent State
                 Univ.",
  address =      "Tashkent, USSR",
  pages =        "26--31",
  year =         "1982",
  bibdate =      "Fri Jan 12 11:37:56 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-jr # "\slash " # ack-nhfb,
}

@Article{Belevitch:1982:SIT,
  author =       "V. Belevitch and J. Boersma",
  title =        "On {Stieltjes} integral transforms involving
                 {$\Gamma$}-functions",
  journal =      j-MATH-COMPUT,
  volume =       "38",
  number =       "157",
  pages =        "223--226",
  month =        jan,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "44A15 (33A15 33A45)",
  MRnumber =     "83d:44001",
  MRreviewer =   "V. M. Bhise",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0230 (Integral transforms); C1130 (Integral
                 transforms)",
  corpsource =   "Philips Res Lab., Brussels, Belgium",
  keywords =     "Gamma functions; integral transforms; Stieltjes
                 transforms; systematic classification; transforms",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Borwein:1982:MNT,
  author =       "P. B. Borwein",
  title =        "On a method of {Newman} and a theorem of {Bernstein}",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "1",
  pages =        "37--41",
  month =        jan,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "06012",
  jrldate =      "Jan. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Brezinski:1982:ASG,
  author =       "C. Brezinski",
  title =        "{Algorithm 585}: {A} Subroutine for the General
                 Interpolation and Extrapolation Problems",
  journal =      j-TOMS,
  volume =       "8",
  number =       "3",
  pages =        "290--301",
  month =        sep,
  year =         "1982",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/356004.356008",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Mon Aug 29 23:49:19 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  keywords =     "algorithms; convergence acceleration; extrapolation;
                 interpolation; least squares approximation;
                 Neville--Aitken scheme",
}

@Article{Brezinski:1982:SNC,
  author =       "Claude Brezinski",
  title =        "Some New Convergence Acceleration Methods",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "159",
  pages =        "133--145",
  month =        jul,
  year =         "1982",
  CODEN =        "MCMPAF",
  DOI =          "http://dx.doi.org/10.2307/2007624",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65B05",
  MRnumber =     "658218 (83f:65003)",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  keywords =     "convergence acceleration",
}

@Book{Carroll:1982:TST,
  author =       "Robert Wayne Carroll",
  title =        "Transmutation, scattering theory, and special
                 functions",
  volume =       "87; 69",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 457",
  year =         "1982",
  ISBN =         "0-444-86426-1 (paperback)",
  ISBN-13 =      "978-0-444-86426-0 (paperback)",
  LCCN =         "QA1 .N86 no. 87; QA329",
  bibdate =      "Sat Oct 30 18:29:29 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "North-Holland mathematics studies",
  acknowledgement = ack-nhfb,
  subject =      "Transmutation operators; Scattering (Mathematics);
                 Inverse problems (Differential equations); Functions,
                 Special",
}

@Article{Chambers:1982:UBF,
  author =       "Ll. G. Chambers",
  title =        "An upper bound for the first zero of {Bessel}
                 functions",
  journal =      j-MATH-COMPUT,
  volume =       "38",
  number =       "158",
  pages =        "589--591",
  month =        apr,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A65",
  MRnumber =     "83h:33011",
  MRreviewer =   "S. Ahmed",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cody:1982:TTP,
  author =       "W. J. Cody",
  title =        "Transportable test procedures for elementary function
                 software",
  crossref =     "Mulvey:1982:EMP",
  pages =        "236--247",
  year =         "1982",
  bibdate =      "Thu Nov 17 06:39:08 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-wjc,
}

@Article{Crick:1982:IRB,
  author =       "S. E. Crick",
  title =        "Inclusion relations for {Bernstein} quasi-analytic
                 classes",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "4",
  pages =        "375--379",
  month =        apr,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "algorithms; theory",
  guideno =      "07841",
  jrldate =      "April 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Cruz:1982:ZHF,
  author =       "Andr{\'e}s Cruz and Javier Sesma",
  title =        "Zeros of the {Hankel} function of real order and of
                 its derivative",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "639--645",
  month =        oct,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A40",
  MRnumber =     "83j:33005",
  MRreviewer =   "S. Ahmed",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290D (Functional analysis); B0290F (Interpolation
                 and function approximation); C4120 (Functional
                 analysis); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza,
                 Spain",
  keywords =     "approximation; derivative; evaluation; function
                 approximation; function evaluation; Hankel function;
                 poles and zeros; real order; trajectories; zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Danielopoulos:1982:CEP,
  author =       "S. D. Danielopoulos",
  title =        "On the Cost of Evaluating Polynomials and Their
                 Derivatives",
  journal =      j-COMPUTING,
  volume =       "29",
  number =       "4",
  pages =        "373--380",
  year =         "1982",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "68C25 (68C20)",
  MRnumber =     "84a:68039",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Ioannina, Greece",
  catcode =      "G.1.2; G.4; G.1.0",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.4 Algorithm analysis; G.1.0 General;
                 G.1.0 Computer arithmetic",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Algorithm analysis; Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Computer arithmetic",
  genterm =      "economics; theory",
  guideno =      "04049",
  journalabr =   "Computing (Vienna/New York)",
  jrldate =      "1982",
  keywords =     "mathematical techniques",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Decker:1982:CAN,
  author =       "D. W. Decker and C. T. Kelley",
  title =        "Convergence acceleration for {Newton}'s method at
                 singular points",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "19",
  number =       "1",
  pages =        "219--229",
  month =        feb,
  year =         "1982",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  MRclass =      "65H05 (58E07 65J15)",
  MRnumber =     "83e:65090",
  MRreviewer =   "Michael Pr{\"u}fer",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Delahaye:1982:SLC,
  author =       "J. P. Delahaye and B. Germain-Bonne",
  title =        "The set of logarithmically convergent sequences cannot
                 be accelerated",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "19",
  number =       "4",
  pages =        "840--844",
  month =        aug,
  year =         "1982",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65B99",
  MRnumber =     "83f:65005",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  keywords =     "convergence acceleration",
}

@Article{Epstein:1982:UAF,
  author =       "C. Epstein and W. L. Miranker and T. J. Rivlin",
  title =        "Ultra-arithmetic {I}: function data types",
  journal =      j-MATH-COMP-SIM,
  volume =       "24",
  number =       "1",
  pages =        "1--18",
  month =        feb,
  year =         "1982",
  CODEN =        "MCSIDR",
  ISSN =         "0378-4754 (print), 1872-7166 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1; G.1.2; G.1.2",
  CRclass =      "G.1.5 Roots of Nonlinear Equations; G.1.2
                 Approximation; G.1.2 Chebyshev approximation and
                 theory; G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
                 Nonlinear Equations; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Chebyshev
                 approximation and theory; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms",
  guideno =      "09324",
  jrldate =      "Feb. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Epstein:1982:UAI,
  author =       "C. Epstein and W. L. Miranker and T. J. Rivlin",
  title =        "Ultra-arithmetic {II}: intervals of polynomials",
  journal =      j-MATH-COMP-SIM,
  volume =       "24",
  number =       "1",
  pages =        "19--29",
  month =        feb,
  year =         "1982",
  CODEN =        "MCSIDR",
  ISSN =         "0378-4754 (print), 1872-7166 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.1.1; G.1.0",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.1 Interpolation; G.1.1 Spline and
                 piecewise polynomial interpolation; G.1.0 General;
                 G.1.0 Error analysis",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Spline and piecewise polynomial
                 interpolation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Error analysis",
  genterm =      "algorithms",
  guideno =      "09325",
  jrldate =      "Feb. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Fernandez:1982:HCI,
  author =       "F. M. Fern{\'a}ndez and A. Mes{\'o}n and E. A.
                 Castro",
  title =        "Hypervirial calculation of integrals involving
                 {Bessel} functions",
  journal =      j-J-MATH-PHYS,
  volume =       "23",
  number =       "2",
  pages =        "254--255",
  month =        feb,
  year =         "1982",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.525345",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "81C05 (33A40 82A51)",
  MRnumber =     "83c:81010",
  bibdate =      "Sat Oct 29 18:19:03 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v23/i2/p254_s1",
  acknowledgement = ack-nhfb,
  pagecount =    "2",
}

@Article{Gawronski:1982:ACF,
  author =       "W. Gawronski and U. Stadtm{\"u}ller",
  title =        "Approximation of continuous functions by generalized
                 {Favard} operators",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "4",
  pages =        "384--396",
  month =        apr,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory; algorithms",
  guideno =      "06038",
  jrldate =      "April 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Gessel:1982:SEH,
  author =       "Ira Gessel and Dennis Stanton",
  title =        "Strange Evaluations of Hypergeometric Series",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "13",
  number =       "2",
  pages =        "295--308",
  month =        mar,
  year =         "1982",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A30",
  MRnumber =     "83c:33002",
  MRreviewer =   "C. L. Parihar",
  bibdate =      "Sun Nov 28 19:22:53 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/13/2;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
}

@Article{Gordon:1982:RAN,
  author =       "H. T. Gordon",
  title =        "Rough approximation numerical algorithms",
  journal =      j-DDJ,
  volume =       "7",
  number =       "7",
  pages =        "54--56",
  month =        jul,
  year =         "1982",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.ddj.com/index/author/index.htm;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.0; G.1.2",
  CRclass =      "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  guideno =      "04547",
  jrldate =      "July 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Greaves:1982:AHM,
  author =       "G. Greaves",
  title =        "An algorithm for the {Hausdorff} moment problem",
  journal =      j-NUM-MATH,
  volume =       "39",
  number =       "2",
  pages =        "231--238",
  month =        aug,
  year =         "1982",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "algorithms",
  guideno =      "07489",
  jrldate =      "Aug. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Hermann:1982:SAG,
  author =       "Robert Hermann",
  title =        "Some algebraic, geometric, and system-theoretic
                 properties of the {Special Functions} of mathematical
                 physics",
  journal =      j-J-MATH-PHYS,
  volume =       "23",
  number =       "7",
  pages =        "1282--1294",
  month =        jul,
  year =         "1982",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.525511",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Sat Oct 29 18:19:10 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v23/i7/p1282_s1",
  abstract =     "It is known that many of the Special Functions of
                 mathematical physics appear as matrix elements of Lie
                 group representations. This paper is concerned with a
                 beginning attack on the converse problem, i.e., finding
                 conditions that a given function be a matrix element.
                 The methods used are based on a combination of ideas
                 from system theory, functional analysis, Lie theory,
                 differential algebra, and linear ordinary differential
                 equation theory. A key idea is to attach a symbol as an
                 element of a commutative algebra. In favorable cases,
                 this symbol defines a Riemann surface, and a
                 meromorphic differential form on that surface. The
                 topological and analytical invariants attached to this
                 form play a key role in system theory. The Lie algebras
                 of the groups appear as linear differential operators
                 on this Riemann surface. Finally, it is shown how the
                 Picard--Vessiot--Infeld--Hull theory of factorization
                 of linear differential operators leads to realization
                 of many Special Functions as matrix representations of
                 group representations.",
  acknowledgement = ack-nhfb,
  pagecount =    "13",
}

@TechReport{Kahan:1982:BCC,
  author =       "W. Kahan",
  title =        "Branch Cuts for Complex Elementary Functions",
  type =         "Technical Report",
  number =       "PAM-105",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  year =         "1982",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/Matrix.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "na, elementary function",
}

@Article{Keener:1982:CLB,
  author =       "L. L. Keener",
  title =        "Characterizing local best {SAIN} approximations",
  journal =      j-J-APPROX-THEORY,
  volume =       "36",
  number =       "1",
  pages =        "55--63",
  month =        sep,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Chebyshev approximation and
                 theory; G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Chebyshev approximation and theory;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "06074",
  jrldate =      "Sept. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Lassey:1982:CCI,
  author =       "Keith R. Lassey",
  title =        "On the computation of certain integrals containing the
                 modified {Bessel} function ${I}_{0}(\xi )$",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "625--637",
  month =        oct,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "83j:65029",
  MRreviewer =   "Walter Gautschi",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290M (Numerical integration and differentiation);
                 C4130 (Interpolation and function approximation); C4160
                 (Numerical integration and differentiation)",
  corpsource =   "Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand",
  keywords =     "approximation; approximation theory; convergence of
                 numerical methods; convergent series; function;
                 function approximation; integration; limiting
                 behaviour; modified Bessel; numerical integration;
                 one-dimensional integrals; two-dimensional integrals",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ling:1982:EIH,
  author =       "Chih Bing Ling and Ming Jing Wu",
  title =        "Evaluation of integrals of {Howland} type involving a
                 {Bessel} function",
  journal =      j-MATH-COMPUT,
  volume =       "38",
  number =       "157",
  pages =        "215--222",
  month =        jan,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05 (65D20)",
  MRnumber =     "82m:65003",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0220 (Mathematical analysis); B0290M (Numerical
                 integration and differentiation); C1120 (Mathematical
                 analysis); C4160 (Numerical integration and
                 differentiation)",
  corpsource =   "Dept. of Maths., Virginia Polytech. Inst. and State
                 Univ., Blacksburg, VA, USA",
  keywords =     "10D; 20D; accuracy; Bessel function; Bessel functions;
                 Howland type; integrals; integration; tabulated
                 values",
  treatment =    "T Theoretical or Mathematical",
}

@InCollection{Mori:1982:ARS,
  author =       "S. Mori and C. Y. Suen",
  editor =       "Ching Y. Suen and Renato {De Mori}",
  key =          "Scanners",
  booktitle =    "Computer analysis and perception: vol. I, {Visual}
                 signals",
  title =        "Automatic recognition of symbols and architecture of
                 the recognition unit",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "17--40",
  year =         "1982",
  ISBN =         "0-8493-6305-5 (vol. 1), 0-8493-6306-3 (vol. 2)",
  ISBN-13 =      "978-0-8493-6305-4 (vol. 1), 978-0-8493-6306-1 (vol.
                 2)",
  LCCN =         "TA1650 .C65 1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bookpages =    "various",
  catcode =      "I.5; G.1.2; C.3; B.7; I.5.4",
  CRclass =      "I.5.2 Design Methodology; G.1.2 Approximation; G.1.2
                 Elementary function approximation; C.3 Signal
                 processing systems; B.7.1 Types and Design Styles;
                 I.5.4 Applications; I.5.4 Signal processing",
  descriptor =   "Computing Methodologies, PATTERN RECOGNITION, Design
                 Methodology; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Computer Systems Organization,
                 SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS, Signal
                 processing systems; Hardware, INTEGRATED CIRCUITS,
                 Types and Design Styles; Computing Methodologies,
                 PATTERN RECOGNITION, Applications, Signal processing",
  genterm =      "documentation; theory; design",
  guideno =      "01691",
  subject =      "I. Computing Methodologies; I.5 PATTERN RECOGNITION;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; C.
                 Computer Systems Organization; C.3 SPECIAL-PURPOSE AND
                 APPLICATION-BASED SYSTEMS; B. Hardware; B.7 INTEGRATED
                 CIRCUITS; I. Computing Methodologies; I.5 PATTERN
                 RECOGNITION",
}

@Article{Oklobdzija:1982:LSR,
  author =       "V. G. Oklobdzija and M. D. Ercegovac",
  title =        "An On-Line Square Root Algorithm",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-31",
  number =       "1",
  pages =        "70--75",
  month =        jan,
  year =         "1982",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1982.1675887",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sun Jul 10 10:33:09 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675887",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Ollin:1982:CFE,
  author =       "H. Z. Ollin and I. Gerst",
  title =        "Classes of functions with explicit best uniform
                 approximations",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "3",
  pages =        "264--276",
  month =        mar,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "06030",
  jrldate =      "March 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Piessens:1982:ACB,
  author =       "R. Piessens",
  title =        "Automatic computation of {Bessel} function integrals",
  journal =      j-COMP-PHYS-COMM,
  volume =       "25",
  number =       "3",
  pages =        "289--295",
  month =        mar,
  year =         "1982",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(82)90024-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:01 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465582900248",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Rack:1982:GIV,
  author =       "H.-J Rack",
  title =        "A generalization of an inequality of {V. Markov} to
                 multivariate polynomials",
  journal =      j-J-APPROX-THEORY,
  volume =       "35",
  number =       "1",
  pages =        "94--97",
  month =        may,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "06047",
  jrldate =      "May 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Rix:1982:UQA,
  author =       "P. Rix",
  title =        "{Universeller Quad\-rat\-wurz\-el-Al\-go\-rith\-mus}
                 \toenglish {Universal Square Root Algorithms}
                 \endtoenglish",
  journal =      j-ELECTRONIK,
  volume =       "23",
  pages =        "81--82",
  year =         "1982",
  CODEN =        "EKRKAR",
  ISSN =         "0013-5658",
  bibdate =      "Fri Sep 16 16:30:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@PhdThesis{Rockey:1982:DMS,
  author =       "S. A. Rockey",
  title =        "Discrete methods of state approximation, parameter
                 identification and optimal control for hereditary
                 systems",
  type =         "{Ph.D} Thesis",
  school =       "Brown University",
  address =      "Providence, RI",
  pages =        "208",
  year =         "1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.1.2; G.1.5",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Linear
                 approximation; G.1.5 Roots of Nonlinear Equations;
                 G.1.5 Convergence",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Linear approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
                 Equations, Convergence",
  guideno =      "15449",
  source =       "UMI order no. DA8228325",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Sommer:1982:EPL,
  author =       "M. Sommer",
  title =        "Existence of pointwise-{Lipschitz}-continuous
                 selections of the metric projection for a class of
                 {$Z$}-spaces",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "2",
  pages =        "115--130",
  month =        feb,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "06018",
  jrldate =      "Feb. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@PhdThesis{Wang:1982:AME,
  author =       "J.-L Wang",
  title =        "Asymptotically minimax estimators for distributions
                 with increasing failure rate",
  type =         "{Ph.D} Thesis",
  school =       "University of California, Berkeley",
  address =      "Berkeley, CA, USA",
  pages =        "42",
  year =         "1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "design",
  guideno =      "15084",
  source =       "UMI order no. DA8300696",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Whitley:1982:MBI,
  author =       "R. Whitley",
  title =        "{Markov} and {Bernstein}'s inequalities, and compact
                 and strictly singular operators",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "3",
  pages =        "277--285",
  month =        mar,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "06031",
  jrldate =      "March 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Wills:1982:RCA,
  author =       "C. A. Wills and J. M. Blair and P. L. Ragde",
  title =        "Rational {Chebyshev} approximations for the {Bessel}
                 functions ${J}_{0}(x)$, ${J}_{1}(x)$, ${Y}_{0}(x)$,
                 ${Y}_{1}(x)$",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "617--623",
  month =        oct,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (33A40 41A50)",
  MRnumber =     "83j:65030",
  MRreviewer =   "C. W. Clenshaw",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0260 (Optimisation techniques); B0290F (Interpolation
                 and function approximation); C1180 (Optimisation
                 techniques); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada",
  keywords =     "approximations; Bessel functions; Chebyshev; Chebyshev
                 approximation; formulae; McMahon asymptotic; minimax
                 techniques; near-minimax rational approximation",
  treatment =    "T Theoretical or Mathematical",
}

@PhdThesis{Wimp:1982:CMS,
  author =       "Jet (Jesse Jet) Wimp",
  title =        "Computational methods and special functions",
  type =         "{D.Sc.} thesis",
  school =       "University of Edinburgh",
  address =      "Edinburgh, UK",
  year =         "1982",
  bibdate =      "Thu Dec 01 11:15:32 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Amos:1983:APF,
  author =       "Donald E. Amos",
  title =        "{Algorithm 610}: {A} Portable {FORTRAN} Subroutine for
                 Derivatives of the Psi Function",
  journal =      j-TOMS,
  volume =       "9",
  number =       "4",
  pages =        "494--502",
  month =        dec,
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/356056.356065",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D20",
  MRnumber =     "791 979",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.0; G.1; G; D.3.2",
  CRclass =      "G.1.0 General; G.1.0 Numerical algorithms; G.1.m
                 Miscellaneous; D.3.2 Language Classifications; D.3.2
                 FORTRAN",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Miscellaneous; Mathematics of
                 Computing, MISCELLANEOUS; Software, PROGRAMMING
                 LANGUAGES, Language Classifications, FORTRAN",
  genterm =      "ALGORITHMS",
  guideno =      "02212",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.m MISCELLANEOUS; D.
                 Software; D.3 PROGRAMMING LANGUAGES",
}

@Article{Benton:1983:CZT,
  author =       "T. C. Benton",
  title =        "Common Zeros of Two {Bessel} Functions. {Part II}.
                 {Approximations} and Tables",
  journal =      j-MATH-COMPUT,
  volume =       "41",
  number =       "163",
  pages =        "203--217",
  month =        jul,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A40 (65A05)",
  MRnumber =     "85a:33010",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0220 (Mathematical analysis); C1120 (Mathematical
                 analysis)",
  corpsource =   "Dept. of Math., Pennsylvania State Univ., University
                 Park, PA, USA",
  keywords =     "Bessel functions; computer program; poles and zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Brezinski:1983:CAE,
  author =       "C. Brezinski and J. P. Delahaye and B. Germain-Bonne",
  title =        "Convergence acceleration by extraction of linear
                 subsequences",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "6",
  pages =        "1099--1105",
  month =        dec,
  year =         "1983",
  CODEN =        "SJNAAM",
  DOI =          "http://dx.doi.org/10.1137/0720079",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65B99 (40A05)",
  MRnumber =     "723826 (85g:65014)",
  MRreviewer =   "John H. McCabe",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  keywords =     "convergence acceleration",
}

@Article{Brezinski:1983:ECC,
  author =       "Claude Brezinski",
  title =        "Error control in convergence acceleration processes",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "3",
  number =       "1",
  pages =        "65--80",
  year =         "1983",
  CODEN =        "IJNADH",
  DOI =          "http://dx.doi.org/10.1093/imanum/3.1.65",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65B99 (65D32 65G05)",
  MRnumber =     "705081 (85a:65004)",
  MRreviewer =   "John P. Coleman",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  keywords =     "convergence acceleration",
}

@Article{Cash:1983:BRKa,
  author =       "J. R. Cash",
  title =        "Block {Runge--Kutta} Methods for the Numerical
                 Integration of Initial Value Problems in Ordinary
                 Differential Equations. {Part I}. {The} Nonstiff Case",
  journal =      j-MATH-COMPUT,
  volume =       "40",
  number =       "161",
  pages =        "175--191",
  month =        jan,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65L05",
  MRnumber =     "84d:65044a",
  MRreviewer =   "W. C. Rheinboldt",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290M (Numerical integration and differentiation);
                 B0290P (Differential equations); C4130 (Interpolation
                 and function approximation); C4160 (Numerical
                 integration and differentiation); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Math., Imperial Coll., London, UK",
  keywords =     "approximate numerical integration; approximation
                 theory; block implicit formulae; block Runge--Kutta
                 formulae; C. W. Gear; differential equations;
                 equations; first order; formulae; initial value;
                 initial value problems; integration; linear multistep
                 methods; nonstiff problems; order; ordinary
                 differential; problems; Runge--Kutta methods;
                 Runge--Kutta starters; stepsize; stiff problems;
                 systems; variable order; variable order block
                 explicit",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Cody:1983:ASM,
  author =       "W. J. Cody",
  title =        "Algorithm 597: Sequence of Modified {Bessel} Functions
                 of the First Kind",
  journal =      j-TOMS,
  volume =       "9",
  number =       "2",
  pages =        "242--245",
  month =        jun,
  year =         "1983",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, MISCELLANEOUS",
  genterm =      "algorithms",
  guideno =      "02186",
  jrldate =      "June 1983",
  keywords =     "algorithms",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation G
                 Mathematics of Computing, MISCELLANEOUS",
}

@Article{Coleman:1983:CEB,
  author =       "J. P. Coleman and A. J. Monaghan",
  title =        "{Chebyshev} expansions for the {Bessel} function
                 ${J}_{n}(z)$ in the complex plane",
  journal =      j-MATH-COMPUT,
  volume =       "40",
  number =       "161",
  pages =        "343--366",
  month =        jan,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05 (30E10 33A40 65D20)",
  MRnumber =     "84c:65013",
  MRreviewer =   "C. W. Clenshaw",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Cruz:1983:MPR,
  author =       "Andr{\'e}s Cruz and Javier Sesma",
  title =        "Modulus and phase of the reduced logarithmic
                 derivative of the {Hankel} function",
  journal =      j-MATH-COMPUT,
  volume =       "41",
  number =       "164",
  pages =        "597--605",
  month =        oct,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A40 (65H05 81F10)",
  MRnumber =     "85b:33006",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Demsky:1983:MMC,
  author =       "J. Demsky and M. Schlesinger and R. D. Kent",
  title =        "Micro/mini computer program for calculating the square
                 root of rationals at arbitrary precision",
  journal =      j-COMP-PHYS-COMM,
  volume =       "29",
  number =       "3",
  pages =        "237--244",
  month =        may,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(83)90004-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:04 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583900048",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Dietrich:1983:VQF,
  author =       "D. Dietrich",
  title =        "{Verfahren zur L{\"o}sung von Quadratwurzeln f{\"u}r
                 Mikrorechnerprozeduren} \toenglish {Methods for the
                 Solution of Square Roots for Microprocessor
                 Subroutines} \endtoenglish",
  journal =      j-ELEKTRONIKER,
  volume =       "8",
  pages =        "EL-1--EL-6",
  year =         "1983",
  CODEN =        "ELKRBL",
  ISSN =         "0531-9218",
  bibdate =      "Fri Dec 08 13:05:49 1995",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Dubrulle:1983:CNM,
  author =       "Augustin A. Dubrulle",
  title =        "Class of Numerical Methods for the Computation of
                 {Pythagorean} Sums",
  journal =      j-IBM-JRD,
  volume =       "27",
  number =       "6",
  pages =        "582--589",
  month =        nov,
  year =         "1983",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  bibdate =      "Tue Mar 25 14:26:59 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Moler:1983:RSR} and generalization
                 \cite{Jamieson:1989:RCI}.",
  abstract =     "Moler and Morrison have described an iterative
                 algorithm for the computation of the Pythagorean sum
                 (a**2 plus b**2)** one-half of two real numbers a and
                 b. This algorithm is immune to unwarranted
                 floating-point overflows, has a cubic rate of
                 convergence, and is easily transportable. This paper,
                 which shows that the algorithm is essentially Halley's
                 method applied to the computation of square roots,
                 provides a generalization to any order of convergence.
                 Formulas of orders 2 through 9 are illustrated with
                 numerical examples. The generalization keeps the number
                 of floating-point divisions constant and should be
                 particularly useful for computation in high-precision
                 floating-point arithmetic.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4190 (Other numerical methods); C5230 (Digital
                 arithmetic methods)",
  classification = "723; 921",
  corpsource =   "IBM Sci. Centre, Palo Alto, CA, USA",
  journalabr =   "IBM J Res Dev",
  keywords =     "computer programming; digital arithmetic;
                 floating-point divisions; Halley's method;
                 high-precision floating-point arithmetic; iterative
                 algorithm; iterative methods; mathematical techniques
                 --- Numerical Methods; Pythagorean sums; rate of
                 convergence; square roots",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ellacott:1983:FTE,
  author =       "S. W. Ellacott",
  title =        "On the {Faber} transform and efficient numerical
                 rational approximation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "5",
  pages =        "989--1000",
  month =        oct,
  year =         "1983",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "41A20 (41A21)",
  MRnumber =     "85f:41010",
  MRreviewer =   "Lee L. Keener",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Fessler:1983:HAA,
  author =       "Theodore Fessler and William F. Ford and David A.
                 Smith",
  title =        "{HURRY}: An Acceleration Algorithm for Scalar
                 Sequences and Series",
  journal =      j-TOMS,
  volume =       "9",
  number =       "3",
  pages =        "346--354",
  month =        sep,
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/356044.356051",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65B10",
  MRnumber =     "791 970",
  bibdate =      "Sun Sep 04 19:50:51 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
}

@Article{Fukushima:1983:OAA,
  author =       "M. Fukushima",
  title =        "An outer approximation algorithm for solving general
                 convex programs",
  journal =      j-OPER-RES,
  volume =       "31",
  number =       "1",
  pages =        "101--113",
  month =        feb,
  year =         "1983",
  CODEN =        "OPREAI",
  ISSN =         "0030-364X (print), 1526-5463 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.4",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.4 Efficiency",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Efficiency",
  genterm =      "algorithms; documentation; performance; reliability;
                 theory",
  guideno =      "09992",
  jrldate =      "Jan./Feb. 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.4 MATHEMATICAL
                 SOFTWARE",
}

@Article{Giordano:1983:EAZ,
  author =       "C. Giordano and A. Laforgia",
  title =        "Elementary approximations for zeros of {Bessel}
                 functions",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "9",
  number =       "3",
  pages =        "221--228",
  month =        sep,
  year =         "1983",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "08115",
  jrldate =      "Sept. 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Hasson:1983:C,
  author =       "M. Hasson and O. Shisha",
  title =        "On the condition
                 $\sum^{\infty}_{n=1}n^{p-1}{E}^{*}_{n}(f) < \infty$",
  journal =      j-J-APPROX-THEORY,
  volume =       "39",
  number =       "4",
  pages =        "389--398",
  month =        dec,
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  MRclass =      "42A10 (41A10)",
  MRnumber =     "85a:42002",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See corrigendum \cite{}.",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "07952",
  jrldate =      "Dec. 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Johnson:1983:MGC,
  author =       "Gary M. Johnson",
  title =        "Multiple-grid convergence acceleration of viscous and
                 inviscid flow computations",
  journal =      j-APPL-MATH-COMP,
  volume =       "13",
  number =       "3--4",
  pages =        "375--398",
  month =        nov,
  year =         "1983",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  MRclass =      "76-08",
  MRnumber =     "84m:76010",
  bibdate =      "Thu Feb 27 09:47:09 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Kershaw:1983:SEW,
  author =       "D. Kershaw",
  title =        "Some extensions of {W. Gautschi}'s inequalities for
                 the gamma function",
  journal =      j-MATH-COMPUT,
  volume =       "41",
  number =       "164",
  pages =        "607--611",
  month =        oct,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A15 (26D20 65D20)",
  MRnumber =     "84m:33003",
  MRreviewer =   "P. Anandani",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Lehnhoff:1983:NPT,
  author =       "H.-G Lehnhoff",
  title =        "A new proof of {Teljakowskii}'s theorem",
  journal =      j-J-APPROX-THEORY,
  volume =       "38",
  number =       "2",
  pages =        "177--181",
  month =        jun,
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "07897",
  jrldate =      "June 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Lehnhoff:1983:SPF,
  author =       "H.-G Lehnhoff",
  title =        "A simple proof of a {A.F. Timan}'s theorem",
  journal =      j-J-APPROX-THEORY,
  volume =       "38",
  number =       "2",
  pages =        "172--176",
  month =        jun,
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory",
  guideno =      "07896",
  jrldate =      "June 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@InProceedings{Little:1983:CCS,
  author =       "F. Little",
  editor =       "Robert E. Barnhill and Wolfgang Boehm",
  booktitle =    "Surfaces in computer aided geometric design:
                 proceedings of a conference held at Mathematisches
                 Forschungsinstitut Oberwolfach, F.R.G., April 25--30,
                 1982, organized by Wolfgang Boehm and Josef Hoschek",
  title =        "Convex combination surfaces",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "99--109",
  year =         "1983",
  ISBN =         "0-444-86550-0",
  ISBN-13 =      "978-0-444-86550-2",
  LCCN =         "T385 .S827 1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bookpages =    "xvi + 215",
  catcode =      "G.1.1; G.1.1; G.1.2",
  CRclass =      "G.1.1 Interpolation; G.1.1 Interpolation formulas;
                 G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Interpolation formulas; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Interpolation,
                 Smoothing; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "theory",
  guideno =      "13093",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@TechReport{Lutskii:1983:VFT,
  author =       "G. M. Lutski{\u{\i}} and O. I. Penchev",
  title =        "{\cyr Vychislenie {\`e}lementarnykh
                 funktsi{\u{\i}}metodom tsifra za tsifro{\u{\i}}v
                 izbytochnykh sistemakh schisleniya}. ({Russian})
                 [Calculation of elementary functions by the
                 digit-by-digit method in redundant number systems]",
  type =         "Preprint",
  number =       "83-22",
  institution =  "Akad. Nauk Ukrain. SSR, Inst. Kibernet.",
  address =      "Kiev, USSR",
  pages =        "30",
  year =         "1983",
  MRclass =      "65D20",
  MRnumber =     "719 021",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Mason:1983:CBF,
  author =       "Janet P. Mason",
  title =        "Cylindrical {Bessel} functions for a large range of
                 complex arguments",
  journal =      j-COMP-PHYS-COMM,
  volume =       "30",
  number =       "1",
  pages =        "1--11",
  month =        jul # "\slash " # aug,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(83)90116-9",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:05 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583901169",
  abstract =     "The evaluation of Bessel functions of the first and
                 second kinds, covering a wide range of complex
                 arguments and integer orders, is required in the
                 determination of the intensity of acoustic reflection
                 from absorbing bodies. Numerical problems associated
                 with the calculations are discussed and various means
                 by which these problems have been overcome are
                 explained. The numerical methods used in calculating
                 the Bessel functions of the first, second and third
                 kinds are given, as well as sample results and
                 numerical checks in the form of computer plots and
                 printouts.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@TechReport{McCurdy:1983:ACD,
  author =       "A. McCurdy and K. C. Ng and Beresford N. Parlett",
  title =        "Accurate computation of divided differences of the
                 exponential function",
  type =         "Report",
  number =       "PAM-160",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        jun,
  year =         "1983",
  bibdate =      "Fri Nov 11 09:06:19 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Meister:1983:MYF,
  author =       "B. Meister",
  title =        "On {Murphy}'s yield formula",
  journal =      j-IBM-JRD,
  volume =       "27",
  number =       "6",
  pages =        "545--548",
  month =        nov,
  year =         "1983",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "B.7.1; G.1.2",
  CRclass =      "B.7.1 Types and Design Styles; B.7.1 Input/Output
                 circuits; G.1.2 Approximation; G.1.2 Elementary
                 function approximation",
  descriptor =   "Hardware, INTEGRATED CIRCUITS, Types and Design
                 Styles, Input/Output circuits; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  genterm =      "theory; design; reliability",
  guideno =      "06316",
  jrldate =      "Nov. 1983",
  subject =      "B. Hardware; B.7 INTEGRATED CIRCUITS; G. Mathematics
                 of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Mlodzki:1983:PPC,
  author =       "J. Mlodzki and J. Kuszkowski and M. Suffczynski",
  title =        "A {Pascal} program for calculating the reduced
                 {Coulomb} {Green}'s functions and their partial waves",
  journal =      j-COMP-PHYS-COMM,
  volume =       "29",
  number =       "4",
  pages =        "341--350",
  month =        jun,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(83)90013-9",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Feb 24 18:49:59 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583900139",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Moler:1983:RSR,
  author =       "Cleve B. Moler and Donald Morrison",
  title =        "Replacing Square Roots by {Pythagorean} Sums",
  journal =      j-IBM-JRD,
  volume =       "27",
  number =       "6",
  pages =        "577--581",
  month =        nov,
  year =         "1983",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  bibdate =      "Thu Sep 1 10:15:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Dubrulle:1983:CNM} and generalization
                 \cite{Jamieson:1989:RCI}.",
  URL =          "http://www.research.ibm.com/journal/rd/276/ibmrd2706P.pdf",
  abstract =     "An algorithm is presented for computing a 'Pythagorean
                 sum' a(+)b= square root a/sup 2/+b/sup 2/ directly from
                 a and b without computing their squares or taking a
                 square root. No destructive floating point overflows or
                 underflows are possible. The algorithm can be extended
                 to compute the Euclidean norm of a vector. The
                 resulting subroutine is short, portable, robust, and
                 accurate, but not as efficient as some other
                 possibilities. The algorithm is particularly attractive
                 for computers where space and reliability are more
                 important than speed",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  classcodes =   "C4190 (Other numerical methods); C5230 (Digital
                 arithmetic methods)",
  corpsource =   "Dept. of Computer Sci., Univ. of New Mexico,
                 Albuquerque, NM, USA",
  keywords =     "algorithms; digital arithmetic; Euclidean norm;
                 floating-point arithmetic; iterative methods;
                 performance; Pythagorean sums; subroutine; vector",
  review =       "ACM CR 8406-0463",
  subject =      "G.1 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Roots of Nonlinear Equations \\ F.2.1 Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on polynomials \\ F.2.2 Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations",
  treatment =    "T Theoretical or Mathematical",
}

@PhdThesis{Monk:1983:SFE,
  author =       "P. B. Monk",
  title =        "Some finite element methods for the approximation of
                 the biharmonic equation",
  type =         "{Ph.D} Thesis",
  school =       "Rutgers University, The State University of New
                 Jersey",
  address =      "New Brunswick, NJ, USA",
  pages =        "242",
  year =         "1983",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.8; G.1.2",
  CRclass =      "G.1.8 Partial Differential Equations; G.1.8 Finite
                 element methods; G.1.2 Approximation; G.1.2 Elementary
                 function approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
                 Differential Equations, Finite element methods;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "design; algorithms; experimentation",
  guideno =      "15929",
  source =       "UMI order no. DA8308441",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Nave:1983:ITF,
  author =       "Rafi Nave",
  key =          "Nav83",
  title =        "Implementation of Transcendental Functions on a
                 Numerics Processor",
  journal =      j-MICROPROC-MICROPROG,
  volume =       "11",
  pages =        "221--225",
  year =         "1983",
  CODEN =        "MMICDT",
  ISSN =         "0165-6074 (print), 1878-7061 (electronic)",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Prosser:1983:NCS,
  author =       "C. J. Prosser",
  title =        "A note on computing the square root of an integer",
  journal =      j-COMP-J,
  volume =       "26",
  number =       "2",
  pages =        "187--188",
  month =        may,
  year =         "1983",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Mar 25 13:51:56 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compj1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/187.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/188.tif",
  acknowledgement = ack-nhfb,
  classcodes =   "C4190 (Other numerical methods); C7310 (Mathematics
                 computing)",
  corpsource =   "Rutherford and Appleton Lab., Chilton, Didcot, UK",
  keywords =     "binary; computer; fixed-point number; integer;
                 interactive methods; iterative methods; PASCAL; Pascal
                 implementation; square root; subroutines; successive
                 subtraction",
  treatment =    "P Practical",
}

@Article{Sidi:1983:ZSP,
  author =       "Avram Sidi and Doron S. Lubinsky",
  title =        "On the zeros of some polynomials that arise in
                 numerical quadrature and convergence acceleration",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "2",
  pages =        "400--405",
  month =        apr,
  year =         "1983",
  CODEN =        "SJNAAM",
  DOI =          "http://dx.doi.org/10.1137/0720028",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65H05 (65D30)",
  MRnumber =     "694528 (84f:65046)",
  MRreviewer =   "J. G. Herriot",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  keywords =     "convergence acceleration",
}

@Article{Talman:1983:LSC,
  author =       "James D. Talman",
  title =        "{LSFBTR}: a subroutine for calculating spherical
                 {Bessel} transforms",
  journal =      j-COMP-PHYS-COMM,
  volume =       "30",
  number =       "1",
  pages =        "93--99",
  month =        jul # "\slash " # aug,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(83)90126-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:05 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583901261",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Temme:1983:NCC,
  author =       "N. M. Temme",
  title =        "The numerical computation of the confluent
                 hypergeometric function ${U}(a,\,b,\,z)$",
  journal =      j-NUM-MATH,
  volume =       "41",
  number =       "1",
  pages =        "63--82",
  month =        apr,
  year =         "1983",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D20 (33A30 65D15)",
  MRnumber =     "84g:65030",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "C4120 (Functional analysis); C7310 (Mathematics
                 computing)",
  corpsource =   "Math. Centrum, Amsterdam, Netherlands",
  keywords =     "ALGOL 60 procedures; asymptotic expansions; confluent
                 hypergeometric function; function computation; function
                 evaluation; Miller algorithm; subroutines",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@TechReport{Temme:1983:TTR,
  author =       "N. M. Temme",
  title =        "Traces to {Tricomi} in recent work on special
                 functions and asymptotics of integrals",
  type =         "Report",
  number =       "TW 239/83",
  institution =  "Stichting mathematisch Centrum",
  address =      "Amsterdam, The Netherlands",
  pages =        "15",
  year =         "1983",
  LCCN =         "A1 M462 TW239/83",
  bibdate =      "Sat Oct 30 18:29:48 2010",
  bibsource =    "http://cat.cisti-icist.nrc-cnrc.gc.ca/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Volz:1983:CAA,
  author =       "H. V{\"o}lz",
  title =        "{{CORDIC} und {\"a}hnliche Algorithmen der elementaren
                 Funktionen mit besonderer Eignung f{\"u}r Mikrorechner}
                 \toenglish {CORDIC and Similar Algorithms for
                 Elementary Functions with Particular Aptitude for
                 Microcomputers} \endtoenglish",
  journal =      j-NACH-ELEK,
  volume =       "33",
  number =       "12",
  pages =        "506--510",
  month =        "????",
  year =         "1983",
  CODEN =        "NTELAP",
  ISSN =         "0323-4657",
  bibdate =      "Fri Sep 16 16:30:40 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Xu:1983:HPG,
  author =       "Xian Yu Xu and Jia Kai Li and Gui Jing Xiong and Guo
                 Liang Xu and Chun Qing Lu",
  title =        "High-precision generation of elementary functions.
                 ({Chinese})",
  journal =      "Appl. Math. Math. Comput.",
  volume =       "6",
  pages =        "24--32",
  year =         "1983",
  MRclass =      "65D20",
  MRnumber =     "86e:65031",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ardill:1984:ABF,
  author =       "R. W. B. Ardill and K. J. M. Moriarty",
  title =        "Accurate {Bessel} functions {$J_n(z)$}, {$Y_n(z)$},
                 {$H_n^{(1)}(z)$} and {$H_n^{(2)}(z)$} of integer order
                 and complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-559--C-559",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82734-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:33 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584827344",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Ardill:1984:BFC,
  author =       "W. B. Ardill and K. J. M. Moriarty",
  title =        "The {Bessel} functions {$J_0$} and {$J_1$} of complex
                 argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  pages =        "C-409--C-409",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82619-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ardill:1984:SBF,
  author =       "R. W. B. Ardill and K. J. M. Moriarty",
  title =        "Spherical {Bessel} functions $j_n$ and $y_n$ of
                 integer order and real argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  pages =        "C-466--C-466",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82666-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  remark =       "No code shown, but uses formulas from
                 \cite{Abramowitz:1964:HMF} for evaluations. Function
                 name is {\tt sphbes}.",
}

@Article{Bardin:1984:CFE,
  author =       "C. Bardin and Y. Dandeu and L. Gauthier and J.
                 Guillermin and T. Lena and J. -M. Pernet and H. H.
                 Wolter and T. Tamura",
  title =        "{Coulomb} functions in entire $(\eta, \pi)$-plane",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-125--C-126",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82382-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:06 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584823826",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Barnett:1984:CCB,
  author =       "A. R. Barnett",
  title =        "{Coulfg}: {Coulomb} and {Bessel} functions and their
                 derivatives, for real arguments, by {Steed}'s method",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-812--C-813",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82930-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584829306",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Barnett:1984:CWF,
  author =       "A. R. Barnett and D. H. Feng and J. W. Steed and L. J.
                 B. Goldfarb",
  title =        "{Coulomb} wave functions for all real $\eta$ and
                 $\rho$",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-285",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82515-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:15 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584825151",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Barnett:1984:KCF,
  author =       "A. R. Barnett",
  title =        "{Klein}: {Coulomb} functions for real $\lambda$ and
                 positive energy to high accuracy",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-753",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82884-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828842",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Barnett:1984:RMR,
  author =       "A. R. Barnett",
  title =        "{RCWFF} --- a modification of the real {Coulomb}
                 wavefunction program {RCWFN}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-370",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82585-0",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:24 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584825850",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Bell:1984:CFN,
  author =       "K. L. Bell and N. S. Scott",
  title =        "{Coulomb} functions (negative energies)",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-648",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82808-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:41 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828088",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@InCollection{Berges:1984:AFE,
  author =       "J. C. Berges",
  booktitle =    "Space mathematics",
  title =        "Arithm{\'e}tique et fonctions {\'e}l{\'e}mentaires sur
                 mini-micro calculateurs. ({French}) [Arithmetic and
                 elementary functions on mini-micro computers]",
  publisher =    "C{\'e}padu{\`e}s",
  address =      "Toulouse, France",
  pages =        "193--229",
  year =         "1984",
  MRclass =      "65-01 (65-04)",
  MRnumber =     "849 200",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Berndt:1984:APA,
  author =       "Bruce C. Berndt and Larry A. Goldberg",
  title =        "Analytic properties of arithmetic sums arising in the
                 theory of the classical theta functions",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "15",
  number =       "1",
  pages =        "143--150",
  month =        jan,
  year =         "1984",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "11A15 (11A25 11F27)",
  MRnumber =     "85d:11008",
  MRreviewer =   "T. M. Apostol",
  bibdate =      "Sun Nov 28 19:23:19 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/15/1;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Black:1984:NIS,
  author =       "Cheryl M. Black and Robert P. Burton and Thomas H.
                 Miller",
  title =        "The Need for an Industry Standard of Accuracy for
                 Elementary-Function Programs",
  journal =      j-TOMS,
  volume =       "10",
  number =       "4",
  pages =        "361--366",
  month =        dec,
  year =         "1984",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65D20",
  MRnumber =     "792 000",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.0; G.1.2; G.4",
  CRclass =      "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.4 Efficiency",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, MATHEMATICAL
                 SOFTWARE, Efficiency",
  genterm =      "theory; algorithms; reliability; standardization",
  guideno =      "02897",
  jrldate =      "Dec. 1984",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE",
}

@Article{Borwein:1984:AGM,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "The Arithmetic-Geometric Mean and Fast Computation of
                 Elementary Functions",
  journal =      j-SIAM-REVIEW,
  volume =       "26",
  number =       "3",
  pages =        "351--366",
  month =        jul,
  year =         "1984",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  MRclass =      "65D20 (26A09)",
  MRnumber =     "86d:65029",
  MRreviewer =   "S. Conde",
  bibdate =      "Mon Jan 20 10:31:25 MST 1997",
  bibsource =    "Compendex database;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "We produce a self contained account of the
                 relationship between the Gaussian arithmetic-geometric
                 mean iteration and the fast computation of elementary
                 functions. A particularly pleasant algorithm for pi is
                 one of the by-products.",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  affiliationaddress = "Dalhousie Univ, Halifax, NS, Can",
  classification = "723; 921",
  journalabr =   "SIAM Rev",
  keywords =     "arithmetic-geometric mean; calculation of pi;
                 computational methods; elliptic functions; Iterative
                 Methods; mathematical techniques; numerical
                 mathematics",
}

@Article{Campbell:1984:BFRa,
  author =       "J. B. Campbell",
  title =        "{Bessel} Functions {$J_\nu(x)$} of real order and real
                 argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-583--C-583",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82756-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:33 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584827563",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Campbell:1984:BFZ,
  author =       "J. B. Campbell",
  title =        "{Bessel} functions ${I_\nu(z)$} and {$K_\nu(z)$} of
                 real order and complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-747--C-748",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82880-5",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828805",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Coleman:1984:FSB,
  author =       "J. P. Coleman",
  title =        "A {Fortran} subroutine for the {Bessel} function
                 {$J_n(x)$} of order $0$ to $10$",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-654--C-654",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82814-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:41 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fortran2.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828143",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  remark =       "No code shown, but sums two separate Chebyshev series,
                 one for $x$ in $[0,8]$, and a second for $x$ in
                 $(8,\infty)$. Function name is {\tt realjn}.",
}

@Article{Delic:1984:CSS,
  author =       "G. Delic",
  title =        "{Chebyshev} sries for the spherical {Bessel} function
                 $l(r)$",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-577--C-577",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82751-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:33 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584827514",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Dhanoa:1984:BPE,
  author =       "M. S. Dhanoa and J. France",
  title =        "A {BASIC} program for the evaluation of the gamma
                 functions",
  journal =      j-J-APPL-STAT,
  volume =       "11",
  number =       "2",
  pages =        "225--228",
  year =         "1984",
  CODEN =        "????",
  DOI =          "http://dx.doi.org/10.1080/02664768400000021",
  ISSN =         "0266-4763 (print), 1360-0532 (electronic)",
  ISSN-L =       "0266-4763",
  bibdate =      "Tue Sep 6 11:15:50 MDT 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.tandf.co.uk/journals/routledge/02664763.html",
  acknowledgement = ack-nhfb,
  onlinedate =   "24 May 2006",
}

@Article{Dutka:1984:EHH,
  author =       "Jacques Dutka",
  title =        "The early history of the hypergeometric function",
  journal =      j-ARCH-HIST-EXACT-SCI,
  volume =       "31",
  number =       "1",
  pages =        "15--34",
  month =        mar,
  year =         "1984",
  CODEN =        "AHESAN",
  DOI =          "http://dx.doi.org/10.1007/BF00330241",
  ISSN =         "0003-9519 (print), 1432-0657 (electronic)",
  MRclass =      "01A50 (33-03)",
  MRnumber =     "769538 (86d:01010)",
  MRreviewer =   "Willard Parker",
  bibdate =      "Fri Feb 4 21:50:21 MST 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=31&issue=1;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=31&issue=1&spage=15",
  acknowledgement = ack-nhfb,
  fjournal =     "Archive for History of Exact Sciences",
  MRtitle =      "The early history of the hypergeometric function",
}

@Article{Fransen:1984:CMM,
  author =       "Arne Frans{\'e}n and Staffan Wrigge",
  title =        "Calculation of the moments and the moment generating
                 function for the reciprocal gamma distribution",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "166",
  pages =        "601--616",
  month =        apr,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (60E10 62E15 65U05)",
  MRnumber =     "86f:65042a",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C1210B (Reliability theory); C4130 (Interpolation and
                 function approximation)",
  corpsource =   "Nat. Defence Res. Inst., Stockholm, Sweden",
  keywords =     "kurtosis; moment generating function; moments;
                 polynomials; reciprocal gamma distribution; reliability
                 theory; skewness; variance",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Glaeske:1984:LTS,
  author =       "H.-J. Glaeske and O. I. Mari{\v{c}}ev",
  title =        "The {Laguerre} transform of some elementary
                 functions",
  journal =      j-Z-ANAL-ANWEND,
  volume =       "3",
  number =       "3",
  pages =        "237--244",
  year =         "1984",
  ISSN =         "0232-2064",
  MRclass =      "44A15 (34A10)",
  MRnumber =     "86a:44005",
  MRreviewer =   "Ram Kishore Saxena",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Grodd:1984:REN,
  author =       "Laurence W. Grodd and Charles M. Patton",
  title =        "{ROM} extends numerical function set of handheld
                 computer",
  journal =      j-HEWLETT-PACKARD-J,
  volume =       "35",
  number =       "7",
  pages =        "25--36",
  month =        jul,
  year =         "1984",
  CODEN =        "HPJOAX",
  ISSN =         "0018-1153",
  bibdate =      "Tue Mar 25 14:12:15 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.hpl.hp.com/hpjournal/pdfs/IssuePDFs/1984-07.pdf",
  abstract =     "The plug-in math PAC for HP's new HP-71B Handheld
                 Computer further extends the HP-71B's comprehensive
                 standard numerical function set to provide a
                 mathematical tool of unprecedented capability and power
                 in a personal machine. Full use of complex variables,
                 integration, matrix algebra, and polynomial root
                 finding are some of the capabilities provided by this
                 plug-in module.",
  acknowledgement = ack-nhfb,
  affiliation =  "Hewlett--Packard Co, Corvallis, OR, USA",
  affiliationaddress = "Hewlett--Packard Co, Corvallis, OR, USA",
  classcodes =   "C7310 (Mathematics computing)",
  classification = "723",
  journalabr =   "Hewlett Packard J",
  keywords =     "complex; complex variables; computers, miniature; data
                 storage, digital --- Fixed; data type; extended I/O
                 functions; fast Fourier transform; handheld computer;
                 HP-71B hand-held computer; matrix operations; numerical
                 analysis; numerical function set; polynomial; read-only
                 storage; ROM; root finder",
  remark =       "The paper notes: ``Completely support provisions of
                 the proposed IEEE floating-point mathematics standard.
                 \ldots{} an HP-71B REAL variable --- a 12-digit
                 mantissa and a three-digit exponent in the range from
                 $-499$ to $499$. Each part of a COMPLEX SHORT variable
                 or array element has the same precision as an HP-71B
                 SHORT variable --- a five-digit mantissa and a
                 three-digit exponent in the range from $-499$ to $499$.
                 Of course, denormalized numbers, Inf (infinity), and
                 NaNs (not-a-numbers) are also permitted.''",
  treatment =    "P Practical; X Experimental",
}

@Article{Gustafson:1984:SCC,
  author =       "Sven-{\AA}ke Gustafson",
  title =        "On the stability of a class of convergence
                 acceleration methods for power series",
  journal =      j-BIT,
  volume =       "24",
  number =       "4",
  pages =        "510--519",
  month =        dec,
  year =         "1984",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://dx.doi.org/10.1007/BF01934909",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65B10",
  MRnumber =     "764823 (86c:65006)",
  MRreviewer =   "D. Levin",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=24&issue=4;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=24&issue=4&spage=510",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  keywords =     "convergence acceleration",
}

@Article{Karp:1984:ELS,
  author =       "A. H. Karp",
  title =        "Exponential and Logarithm by Sequential Squaring",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-33",
  number =       "5",
  pages =        "462--464",
  month =        may,
  year =         "1984",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1984.1676464",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sun Jul 10 09:22:52 MDT 2011",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676464",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Kolbig:1984:PCL,
  author =       "K. S. K{\"o}lbig",
  title =        "Programs for computing the logarithm of the gamma
                 function, and the digamma function, for complex
                 argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-152",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82404-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:06 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584824042",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Laforgia:1984:FIG,
  author =       "Andrea Laforgia",
  title =        "Further Inequalities for the Gamma Function",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "166",
  pages =        "597--600",
  month =        apr,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A15",
  MRnumber =     "85i:33001",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., Univ. of Torino, Torino, Italy",
  keywords =     "gamma function; inequalities; polynomials",
  treatment =    "T Theoretical or Mathematical",
}

@Article{McCurley:1984:EE,
  author =       "Kevin S. McCurley",
  title =        "Explicit Estimates for $\theta (x; 3, l)$ and $\psi
                 (x; 3, l)$",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "165",
  pages =        "287--296",
  month =        jan,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "11N56",
  MRnumber =     "85g:11085",
  MRreviewer =   "G. J. Rieger",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Maths., Michigan State Univ., East Lansing,
                 MI, USA",
  keywords =     "arithmetic progressions; Chebyshev approximation;
                 Chebyshev functions; Dirichlet L-; explicit estimates;
                 functions; prime number; theorem; zeros",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Moon:1984:AFC,
  author =       "Wooil Moon",
  title =        "{Airy} function with complex arguments",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-692",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82842-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:41 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828428",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Nesbet:1984:ARI,
  author =       "R. K. Nesbet",
  title =        "Algorithms for regular and irregular {Coulomb} and
                 {Bessel} functions",
  journal =      j-COMP-PHYS-COMM,
  volume =       "32",
  number =       "4",
  pages =        "341--347",
  month =        jul,
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(84)90051-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465584900511",
  abstract =     "Algorithms for computing Coulomb--Bessel functions are
                 considered, with emphasis on obtaining accurate values
                 when the argument $x$ is inside the classical turning
                 point $x\lambda$. Algorithms of Barnett et al. for the
                 generalized Coulomb functions and their derivatives are
                 discussed in the context of the phase integral
                 formalism. Modified or alternative algorithms are
                 considered that are designed to be valid for all values
                 of argument $x$ and index $\lambda$ for the functions
                 $F_\lambda(x)$, $G_\lambda(x)$. An algorithm for
                 accelerating convergence of a power series by
                 conversion to a continued fraction is presented, and is
                 applied to the evaluation of spherical Bessel
                 functions. An explicit formula for the integrand of the
                 phase integral is presented for spherical Bessel
                 functions. The methods considered need to be augmented
                 by an efficient algorithm for computing the logarithmic
                 derivative of $G_0 + iF_0$ for Coulomb functions when
                 $x$ is smaller than the charge parameter $\eta$.",
  acknowledgement = ack-nhfb,
}

@Article{Newman:1984:ABS,
  author =       "J. N. Newman",
  title =        "Approximations for the {Bessel} and {Struve}
                 functions",
  journal =      j-MATH-COMPUT,
  volume =       "43",
  number =       "168",
  pages =        "551--556",
  month =        oct,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (33A40)",
  MRnumber =     "86c:65021",
  MRreviewer =   "S. Conde",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C1120 (Mathematical analysis); C4130 (Interpolation and
                 function approximation)",
  corpsource =   "Dept. of Ocean Eng., MIT, Cambridge, MA, USA",
  keywords =     "accuracy; Bessel functions; function approximation;
                 functions; IBM PC computer; minimax; polynomial
                 approximations; polynomials; rational-fraction
                 approximations; single-precision computations; Struve",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Ng:1984:DAA,
  author =       "K. C. Ng",
  title =        "Contributions to the computation of the matrix
                 exponential",
  type =         "Report",
  number =       "PAM-212",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        feb,
  year =         "1984",
  bibdate =      "Fri Nov 11 09:06:19 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Based on the author's Ph.D. thesis.",
  acknowledgement = ack-nhfb,
  keywords =     "$\exp(Bt)$",
}

@Article{Nishimoto:1984:TFD,
  author =       "Katsuyuki Nishimoto",
  title =        "Tables of fractional differintegrations of elementary
                 functions",
  journal =      "J. College Engrg. Nihon Univ. Ser. B",
  volume =       "25",
  pages =        "41--46",
  year =         "1984",
  ISSN =         "0285-6182",
  MRclass =      "30E20 (26A33)",
  MRnumber =     "85f:30065",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Noble:1984:CPE,
  author =       "C. J. Noble and I. J. Thompson",
  title =        "{COULN}, a program for evaluating negative energy
                 {Coulomb} functions",
  journal =      j-COMP-PHYS-COMM,
  volume =       "33",
  number =       "4",
  pages =        "413--419",
  month =        oct,
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(84)90146-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Feb 24 13:39:14 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465584901462",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Piessens:1984:ACB,
  author =       "R. Piessens",
  title =        "Automatic computation of {Bessel} function integrals",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-791",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82915-X",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S001046558482915X",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Piessens:1984:CSA,
  author =       "R. Piessens",
  title =        "{Chebyshev} series approximations for the zeros of the
                 {Bessel} functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "53",
  number =       "1",
  pages =        "188--192",
  month =        jan,
  year =         "1984",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(84)90060-3",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:18 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999184900603",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Piessens:1984:SEF,
  author =       "R. Piessens",
  title =        "A Series Expansion for the First Positive Zero of the
                 {Bessel} Functions",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "165",
  pages =        "195--197",
  month =        jan,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A40 (65D20)",
  MRnumber =     "84m:33014",
  MRreviewer =   "M. E. Muldoon",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database; Theory/Comp.Alg.1.bib",
  acknowledgement = ack-nhfb,
  annote =       "Gives explicit series for first positive zero for 4
                 terms, using REDUCE.",
  classcodes =   "B0220 (Mathematical analysis); C1120 (Mathematical
                 analysis)",
  corpsource =   "Dept. of Computer Sci., Univ. of Leuven, Heverlee,
                 Belgium",
  keywords =     "Bessel functions; poles and zeros; positive zero;
                 Reduce; series (mathematics); series expansion",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Schmidt:1984:TAI,
  author =       "J. W. Schmidt",
  title =        "Two-Sided Approximations of Inverses, Square Roots and
                 {Cholesky} Factors",
  journal =      "Comput. Math., Banach Center Publ.",
  volume =       "13",
  pages =        "483--497",
  year =         "1984",
  bibdate =      "Fri Jan 12 11:37:56 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-jr,
}

@Article{Seaton:1984:CFA,
  author =       "M. J. Seaton",
  title =        "{Coulomb} functions analytic in the energy",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-771",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82899-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828994",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Takemasa:1984:CFC,
  author =       "T. Takemasa and T. Tamura and H. H. Wolter",
  title =        "{Coulomb} functions with complex angular momenta",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-562",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82737-X",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:33 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S001046558482737X",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Talman:1984:LSC,
  author =       "James D. Talman",
  title =        "{LSFBTR}: a subroutine for calculating spherical
                 {Bessel} transforms",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-903",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)83002-7",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:58 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584830027",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Tamura:1984:CFC,
  author =       "Taro Tamura and Frank Rybicki",
  title =        "{Coulomb} functions for complex energies",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-5",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(84)82276-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:55:58 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584822766",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Trojan:1984:LBF,
  author =       "George M. Trojan",
  title =        "Lower Bounds and Fast Algorithms for Sequence
                 Acceleration",
  journal =      j-J-ACM,
  volume =       "31",
  number =       "2",
  pages =        "329--335",
  month =        apr,
  year =         "1984",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  bibdate =      "Wed Jan 15 18:12:53 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Tight upper and lower bounds are obtained for sequence
                 accelerating. The lower bounds follow from a powerful
                 asymptotic adversary principle. Algorithms are
                 presented and shown to be almost optimal.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Univ of Western Ontario, Dep of Physics, London,
                 Ont, Can",
  classification = "723",
  journalabr =   "J Assoc Comput Mach",
  keywords =     "Algorithms; computer programming; convergence
                 acceleration; lower bounds; sequence acceleration;
                 upper bounds",
}

@Book{vanderLaan:1984:CSF,
  author =       "C. G. van der Laan and N. M. Temme",
  title =        "Calculation of special functions: the gamma function,
                 the exponential integrals and error-like functions",
  volume =       "10",
  publisher =    "Centre for Mathematics and Computer Science,",
  address =      "Amsterdam, The Netherlands",
  pages =        "iv + 231",
  year =         "1984",
  ISBN =         "90-6196-277-3",
  ISBN-13 =      "978-90-6196-277-9",
  LCCN =         "QA1 M4591 no. 10",
  bibdate =      "Sat Oct 30 18:43:03 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "CWI tract / Centrum voor Wiskunde en Informatica",
  acknowledgement = ack-nhfb,
}

@Article{vonGudenberg:1984:BMG,
  author =       "J. Wolff {von Gudenberg}",
  title =        "{Berechnung maximal genauer Standardfunktionen mit
                 einfacher Mantissenl{\"a}nge} \toenglish {Computation
                 of Maximally Accurate Elementary Functions Using Simple
                 Mantissa Length} \endtoenglish",
  journal =      j-ELEK-RECHENANLAGEN,
  volume =       "26",
  number =       "5",
  pages =        "230--238",
  month =        oct,
  year =         "1984",
  CODEN =        "ELRAA4",
  ISSN =         "0013-5720",
  bibdate =      "Sun Oct 25 10:29:27 1998",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Walmsley:1984:EEM,
  author =       "John L. Walmsley",
  title =        "On the efficient evaluation of modified {Bessel}
                 functions of zeroth and first orders for arguments of
                 the form $x \exp(i \pi / 4)$",
  journal =      j-J-COMPUT-PHYS,
  volume =       "56",
  number =       "2",
  pages =        "349--355",
  month =        nov,
  year =         "1984",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(84)90100-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:21 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999184901001",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Book{Wawrzynczyk:1984:GRS,
  author =       "Antoni Wawrzy{\'n}czyk and Aleksander Strasburger",
  title =        "Group representations and special functions",
  volume =       "8",
  publisher =    "D. Reidel",
  address =      "Dordrecht, The Netherlands",
  pages =        "xvi + 688",
  year =         "1984",
  ISBN =         "90-277-1269-7",
  ISBN-13 =      "978-90-277-1269-1",
  LCCN =         "QA171 .W3513 1984; QA1 M4281 v. 8",
  bibdate =      "Sat Oct 30 18:29:38 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Mathematics and its applications. East European
                 series",
  acknowledgement = ack-nhfb,
  remark =       "Translation of Polish title Wsp\'o\pm{}czesna teoria
                 funkcji specjalnych.",
  subject =      "Representations of groups; Functions, Special",
}

@Article{Wrigge:1984:NMG,
  author =       "Staffan Wrigge",
  title =        "A note on the moment generating function for the
                 reciprocal gamma distribution",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "166",
  pages =        "617--621",
  month =        apr,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D20 (60E10 62E15 65U05)",
  MRnumber =     "86f:65042b",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Nat. Defence Res. Inst., Stockholm, Sweden",
  keywords =     "Euler--Maclaurin expansion; moment generating
                 function; polynomials; reciprocal gamma distribution",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Akrivis:1985:ENC,
  author =       "G. Akrivis",
  title =        "The error norm of certain {Gaussian} quadrature
                 formulae",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "513--519",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D32",
  MRnumber =     "87a:65051",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290B (Error analysis in numerical methods); B0290F
                 (Interpolation and function approximation); C4110
                 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Math. Inst., Munchen Univ., West Germany",
  keywords =     "error analysis; error functional; error norm; function
                 approximation; Gaussian quadrature formulae;
                 integration; weight functions; wide class",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bank:1985:SEM,
  author =       "Randolph E. Bank and Craig C. Douglas",
  title =        "Sharp estimates for multigrid rates of convergence
                 with general smoothing and acceleration",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "22",
  number =       "4",
  pages =        "617--633",
  month =        aug,
  year =         "1985",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "86j:65037",
  MRreviewer =   "L. W. Ehrlich",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@InProceedings{Bannur:1985:VIS,
  author =       "J. Bannur and A. Varma",
  title =        "The {VLSI} Implementation of a Square Root Algorithm",
  crossref =     "Hwang:1985:PSC",
  pages =        "159--165",
  year =         "1985",
  bibdate =      "Fri Nov 16 08:47:34 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith7/papers/ARITH7_Bannur_Varma.pdf",
  abstract =     "VLSI implementation of a square root algorithm is
                 studied. Two possible implementations of the basic
                 nonrestoring algorithm are presented --- the second is
                 more area-efficient and modular than the first. The
                 implementations are simple and easy to control, but, at
                 the same time, are more area-time efficient than many
                 existing designs. A hardware algorithm suited to
                 microprogram implementation is also given. Extension of
                 the algorithms to achieve $1/2$-bit precision is
                 discussed.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-7",
}

@Article{Borodin:1985:DND,
  author =       "Allan Borodin and Ronald Fagin and John E. Hopcroft
                 and Martin Tompa",
  title =        "Decreasing the Nesting Depth of Expressions Involving
                 Square Roots",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "2",
  pages =        "169--188",
  month =        jun,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  MRclass =      "68Q40 (12F05)",
  MRnumber =     "87a:68087",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Simplification",
}

@Article{Brezinski:1985:CAM,
  author =       "Claude Brezinski",
  title =        "Convergence acceleration methods: the past decade",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "12--13",
  number =       "??",
  pages =        "19--36",
  month =        may,
  year =         "1985",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0377-0427(85)90005-6",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65Bxx (65J05)",
  MRnumber =     "793942 (86f:65019)",
  bibdate =      "Thu Dec 01 10:11:33 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  keywords =     "convergence acceleration",
  remark =       "Proceedings of the international conference on
                 computational and applied mathematics (Leuven, 1984).",
}

@Article{Carlson:1985:AEF,
  author =       "B. C. Carlson and John L. Gustafson",
  title =        "Asymptotic expansion of the first elliptic integral",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "16",
  number =       "5",
  pages =        "1072--1092",
  month =        sep,
  year =         "1985",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A25 (41A60)",
  MRnumber =     "87d:33002",
  MRreviewer =   "Kusum Soni",
  bibdate =      "Sat Dec 5 18:14:13 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cathey:1985:ISR,
  author =       "James Cathey",
  title =        "68000 Integer square root routine in {16BST}",
  journal =      j-DDJ,
  volume =       "10",
  number =       "5",
  pages =        "118--??",
  month =        may,
  year =         "1985",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Mon Sep 2 09:09:39 MDT 1996",
  bibsource =    "http://www.ddj.com/index/author/index.htm;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Conover:1985:AHS,
  author =       "B. Conover and D. L. Gustafson",
  title =        "An Algorithm for High Speed Square Roots",
  crossref =     "IEEE:1985:ERC",
  pages =        "19--21",
  year =         "1985",
  bibdate =      "Fri Jun 11 18:04:41 1999",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Frenzen:1985:NAE,
  author =       "C. L. Frenzen and R. Wong",
  title =        "A note on asymptotic evaluation of some {Hankel}
                 transforms",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "537--548",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "41A60 (44A15 65R10)",
  MRnumber =     "87c:41024",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0230 (Integral transforms); B0290Z (Other numerical
                 methods)C1130 (Integral transforms); C4190 (Other
                 numerical methods)",
  corpsource =   "Dept. of Math., British Columbia Univ., Vancouver, BC,
                 Canada",
  keywords =     "asymptotic expansion; Bessel function; Bessel
                 functions; growth condition; Hankel transforms;
                 meromorphic function; transforms",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Gal:1985:CEF,
  author =       "Shmuel Gal",
  title =        "Computing Elementary Functions: {A} New Approach for
                 Achieving High Accuracy and Good Performance",
  crossref =     "Miranker:1985:ASC",
  pages =        "1--16",
  year =         "1985",
  bibdate =      "Sat Nov 09 07:42:53 2002",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Gustafson:1985:SCA,
  author =       "Sven-{\AA}ke Gustafson",
  title =        "Stable convergence acceleration using {Laplace}
                 transforms",
  journal =      j-NUM-MATH,
  volume =       "47",
  number =       "3",
  pages =        "387--394",
  month =        nov,
  year =         "1985",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65B10 (65D30)",
  MRnumber =     "86m:65009",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "B0230 (Integral transforms); C1130 (Integral
                 transforms)",
  corpsource =   "Dept. of Numerical Anal. and Comput. Sci., R. Inst. of
                 Technol., Stockholm, Sweden",
  keywords =     "convergence acceleration; Laplace transforms; power
                 series; quadrature schemes; series (mathematics);
                 stable convergence acceleration",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Hill:1985:RCS,
  author =       "I. D. Hill and M. C. Pike",
  title =        "Remark on ``{Algorithm 299: Chi-Squared Integral}''",
  journal =      j-TOMS,
  volume =       "11",
  number =       "2",
  pages =        "185--185",
  month =        jun,
  year =         "1985",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Tue Feb 06 05:28:22 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See
                 \cite{Hill:1967:ACS,elLozy:1976:RAC,elLozy:1979:RAS}.",
  acknowledgement = ack-nhfb,
}

@Article{Hull:1985:PRV,
  author =       "T. E. Hull and A. Abrham",
  title =        "Properly Rounded Variable Precision Square Root",
  journal =      j-TOMS,
  volume =       "11",
  number =       "3",
  pages =        "229--237",
  month =        sep,
  year =         "1985",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65D15 (65G05)",
  MRnumber =     "87a:65041",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p229-hull/;
                 http://www.acm.org/pubs/toc/Abstracts/toms/214413.html",
  abstract =     "The square root function presented here returns a
                 properly rounded approximation to the square root of
                 its argument, or it raises an error condition if the
                 argument is negative. {\em Properly rounded} means
                 rounded to the nearest, or to nearest even in case of a
                 tie. It is {\em variable precision} in that it is
                 designed to return a $p$-digit approximation to a
                 $p$-digit argument, for any $p$ \$>\$ 0. (Precision $p$
                 means $p$ decimal digits.) The program and the analysis
                 are valid for all $p$ \$>\$ 0, but current
                 implementations place some restrictions on $p$.",
  acknowledgement = ack-nhfb,
  catcode =      "G.4; G.4; G.1.0; G.1.2; G.4; G.1.0",
  CRclass =      "G.4 Algorithm analysis; G.4 Verification; G.1.0
                 General; G.1.0 Numerical algorithms; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.4 Certification and testing; G.1.0 General; G.1.0
                 Error analysis",
  descriptor =   "Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Algorithm analysis; Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Verification; Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Numerical
                 algorithms; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, MATHEMATICAL
                 SOFTWARE, Certification and testing; Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Error
                 analysis",
  genterm =      "algorithms; verification",
  guideno =      "02789",
  jrldate =      "Sept. 1985",
  keywords =     "algorithms; verification",
  subject =      "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation. {\bf G.4}: Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}:
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Certification and testing. {\bf G.4}: Mathematics of
                 Computing, MATHEMATICAL SOFTWARE, Verification. {\bf
                 G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS,
                 General, Error analysis. {\bf G.1.0}: Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Numerical
                 algorithms.",
}

@Article{Humblet:1985:BFE,
  author =       "J. Humblet",
  title =        "{Bessel} function expansions of {Coulomb} wave
                 functions",
  journal =      j-J-MATH-PHYS,
  volume =       "26",
  number =       "4",
  pages =        "656--659",
  month =        apr,
  year =         "1985",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.526602",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "81C05 (33A40 81G45)",
  MRnumber =     "87c:81034",
  bibdate =      "Mon Oct 31 11:57:19 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v26/i4/p656_s1",
  acknowledgement = ack-nhfb,
  pagecount =    "4",
}

@Article{Kravchuk:1985:ACE,
  author =       "V. R. Kravchuk",
  title =        "Approximation of certain elementary functions by
                 rational functions of order $(n,2)$. ({Russian})",
  journal =      "Akad. Nauk Ukrain. SSR Inst. Mat. Preprint",
  volume =       "18",
  pages =        "7--40",
  year =         "1985",
  MRclass =      "41A25 (41A10)",
  MRnumber =     "87b:41017",
  MRreviewer =   "R. Smarzewski",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Kravchuk:1985:EAE,
  author =       "V. R. Kravchuk",
  title =        "Effective approximation of elementary functions by
                 rational polynomials of order $(n,1)$. ({Russian})",
  journal =      "Ukrain. Mat. Zh.",
  volume =       "37",
  number =       "2",
  pages =        "175--180, 270",
  year =         "1985",
  MRclass =      "41A20 (41A25)",
  MRnumber =     "86h:41013",
  MRreviewer =   "Miguel A. Jim{\'e}nez Pozo",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lazard:1985:PFD,
  author =       "Daniel Lazard",
  title =        "Primitives des fonctions {\'e}l{\'e}mentaires
                 (d'apr{\`e}s {Risch} et {Davenport}). ({French})
                 [Primitives of elementary functions (following {Risch}
                 and {Davenport})] {Seminar Bourbaki, Vol. 1983/84, No.
                 121-122}",
  journal =      "Ast{\'e}risque",
  volume =       "121--122",
  pages =        "295--308",
  year =         "1985",
  MRclass =      "12H05 (12-04)",
  MRnumber =     "86k:12010",
  MRreviewer =   "J. H. Davenport",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lewanowicz:1985:RRH,
  author =       "Stanis{\l}aw Lewanowicz",
  title =        "Recurrence relations for hypergeometric functions of
                 unit argument",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "521--535",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A35 (65Q05)",
  MRnumber =     "86m:33004",
  MRreviewer =   "S. Conde",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290 (Numerical analysis); C4100 (Numerical
                 analysis)",
  corpsource =   "Inst. of Comput. Sci., Wroclaw Univ., Poland",
  keywords =     "(mathematics); convergence of numerical methods;
                 hypergeometric function; numerical analysis; recurrence
                 relation; series; unit argument",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Lo:1985:GPB,
  author =       "Hao-Yung Lo and Y. Aoki",
  title =        "Generation of a Precise Binary Logarithm with
                 Difference Grouping Programmable Logic Array",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-34",
  number =       "8",
  pages =        "681--691",
  month =        aug,
  year =         "1985",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1985.1676614",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sun Jul 10 08:33:17 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676614",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Majerski:1985:SRA,
  author =       "S. Majerski",
  title =        "Square-Rooting Algorithms for High-Speed Digital
                 Circuits",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-34",
  number =       "8",
  pages =        "724--733",
  month =        aug,
  year =         "1985",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1985.1676618",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sun Jul 10 08:33:17 MDT 2011",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676618",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Martin:1985:FAB,
  author =       "Pablo Mart{\'\i}n and Antonio L. Guerrero",
  title =        "Fractional approximations to the {Bessel} function
                 {$J_0(x)$}",
  journal =      j-J-MATH-PHYS,
  volume =       "26",
  number =       "4",
  pages =        "705--707",
  month =        apr,
  year =         "1985",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.526610",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "41A21 (33A40)",
  MRnumber =     "86g:41031",
  MRreviewer =   "Hans-J{\"u}rgen Albrand",
  bibdate =      "Mon Oct 31 11:57:19 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v26/i4/p705_s1",
  acknowledgement = ack-nhfb,
  pagecount =    "3",
}

@Article{Milgram:1985:GIE,
  author =       "M. S. Milgram",
  title =        "The Generalized Integro-Exponential Function",
  journal =      j-MATH-COMPUT,
  volume =       "44",
  number =       "170",
  pages =        "443--458",
  month =        apr,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A70 (65D15)",
  MRnumber =     "86c:33024",
  MRreviewer =   "S. Conde",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290D (Functional analysis); B0290F (Interpolation
                 and function approximation); C4120 (Functional
                 analysis); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "AECL, Chalk River, Ont., Canada",
  keywords =     "exponential function; exponential integral;
                 first-order functions; function; function
                 approximation; function evaluation; generalized
                 integro-; incomplete gamma; minimax; rational minimax
                 approximations; techniques",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Muller:1985:DBC,
  author =       "Jean-Michel Muller",
  title =        "Discrete basis and computation of elementary
                 functions",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-34",
  number =       "9",
  pages =        "857--862",
  month =        sep,
  year =         "1985",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1985.1676643",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  MRclass =      "65D20 (65V05)",
  MRnumber =     "87e:65016",
  MRreviewer =   "D. Zwick",
  bibdate =      "Sun Jul 10 08:33:33 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676643",
  abstract =     "We give necessary and sufficient conditions in order
                 that the infinite product or sum of the terms of a
                 positive decreasing sequence generates the reals in a
                 given interval.",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@InCollection{Muller:1985:RNR,
  author =       "Jean-Michel Muller",
  booktitle =    "Seminar on number theory, 1984--1985 (Talence,
                 1984/1985),",
  title =        "Repr{\'e}sentation des nombres r{\'e}els et calcul des
                 fonctions {\'e}l{\'e}mentaires. ({French})
                 [Representation of real numbers and calculation of
                 elementary functions]",
  volume =       "12",
  publisher =    "Univ. Bordeaux {I}",
  address =      "Talence, France",
  pages =        "22",
  year =         "1985",
  MRclass =      "26-04 (11B13 11B34 26A09)",
  MRnumber =     "87k:26001",
  MRreviewer =   "S. L. Segal",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  remark =       "From the MRreview: ``About one third of the paper is
                 devoted to algorithms for calculating quantities like
                 square root, exponential, logarithm, or trigonometric
                 funtions, using discrete bases. Indeed, the major
                 motivation for the present paper is obtaining simple
                 algorithms which can easily be realized by
                 hardware.''",
}

@TechReport{Parlett:1985:DAA,
  author =       "Beresford N. Parlett and K. C. Ng",
  title =        "Development of an accurate algorithm for
                 {$\exp(Bt)$}",
  type =         "Technical Report",
  number =       "PAM-294",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        aug,
  year =         "1985",
  bibdate =      "Fri Nov 11 09:06:19 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Peralta:1985:TRN,
  author =       "Rene Caupolican Peralta",
  title =        "Three results in number theory and cryptography: {A}
                 new algorithm to compute square roots modulo a prime
                 number; On the bit complexity of the discrete
                 logarithm; {A} framework for the study of
                 cryptoprotocols",
  type =         "Thesis ({Ph.D.})",
  school =       "Department of Computer Science, University of
                 California, Berkeley",
  address =      "Berkeley, CA, USA",
  pages =        "52",
  month =        dec,
  year =         "1985",
  LCCN =         "????",
  bibdate =      "Sat Oct 17 16:25:07 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/cryptography.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  keywords =     "dissertations; dissertations, academic --- UCB ---
                 computer science --- 1981--1990; University of
                 California, Berkeley. computer science division --",
}

@Article{Pereira:1985:ECF,
  author =       "N. Costa Pereira",
  title =        "Estimates for the {Chebyshev} function $\psi(x)-\theta
                 (x)$",
  journal =      j-MATH-COMPUT,
  volume =       "44",
  number =       "169",
  pages =        "211--221",
  month =        jan,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "11A25 (11N45 11Y35 33A70)",
  MRnumber =     "86k:11005",
  bibdate =      "Thu Jun 15 07:26:46 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  note =         "See corrigendum \cite{Pereira:1987:CEC}.",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  keywords =     "Chebyshev approximation; Chebyshev function",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Schoof:1985:ECF,
  author =       "Ren{\'e} Schoof",
  title =        "Elliptic Curves Over Finite Fields and the Computation
                 of Square Roots $\operatorname{mod} p$",
  journal =      j-MATH-COMPUT,
  volume =       "44",
  number =       "170",
  pages =        "483--494",
  month =        apr,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11Y16 (11G20 14G15)",
  MRnumber =     "86e:11122",
  MRreviewer =   "Karl Rubin",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0250 (Combinatorial mathematics); B0290D (Functional
                 analysis); C1160 (Combinatorial mathematics); C4120
                 (Functional analysis); C4240 (Programming and algorithm
                 theory)",
  corpsource =   "Amsterdam Univ., Netherlands",
  keywords =     "computational complexity; deterministic algorithm;
                 elliptic curve; F/sub q/-points; finite fields;
                 function evaluation; number theory; square roots mod p;
                 Weierstrass equation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Spijker:1985:SRS,
  author =       "M. N. Spijker",
  title =        "Stepsize restrictions for stability of one-step
                 methods in the numerical solution of initial value
                 problems",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "377--392",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65L20 (65M10)",
  MRnumber =     "86j:65106",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "A0260 (Numerical approximation and analysis); A0560
                 (Transport processes: theory); B0290F (Interpolation
                 and function approximation); B0290P (Differential
                 equations); C4130 (Interpolation and function
                 approximation); C4170 (Differential equations); C7320
                 (Physics and chemistry computing)",
  corpsource =   "Inst. of Appl. Math. and Comput. Sci., Leiden Univ.,
                 Netherlands",
  keywords =     "convection; convergence of numerical methods;
                 differential equations; diffusion;
                 diffusion-convection; error growth; initial value
                 problems; iterative methods; numerical solution;
                 partial; problem; stability of one-step methods;
                 stepsize restrictions",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Sreedharan:1985:ASS,
  author =       "J. Sreedharan and A. Dhurkadas",
  title =        "8086 algorithm solves square roots",
  journal =      j-EDN,
  volume =       "30",
  number =       "7",
  pages =        "272",
  month =        apr,
  year =         "1985",
  CODEN =        "EDNSBH",
  ISSN =         "0012-7515, 0364-6637",
  bibdate =      "Thu Sep 1 10:15:42 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Agarwal:1986:NSV,
  author =       "Ramesh C. Agarwal and James W. Cooley and Fred G.
                 Gustavson and James B. Shearer and Gordon Slishman and
                 Bryant Tuckerman",
  title =        "New Scalar and Vector Elementary Functions for the
                 {IBM System\slash 370}",
  journal =      j-IBM-JRD,
  volume =       "30",
  number =       "2",
  pages =        "126--144",
  month =        mar,
  year =         "1986",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  MRclass =      "76W05",
  MRnumber =     "840 341",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See clarification \cite{Agarwal:1987:CNS}.",
  abstract =     "Algorithms have been developed to compute short-and
                 long-precision elementary functions: SIN, COS, TAN,
                 COTAN, LOG, LOG10, EXP, POWER, SQRT, ATAN, ASIN, ACOS,
                 ATAN2, and CABS, in scalar (28 functions) and vector
                 (22 functions) mode. They have been implemented as part
                 of the new VS FORTRAN library recently announced along
                 with the IBM 3090 Vector Facility. These algorithms are
                 essentially table-based algorithms. An important
                 feature of these algorithms is that they produce
                 bitwise-identical results on scalar and vector
                 System\slash 370 machines. Of these, for five functions
                 the computed value result is always the correctly
                 rounded value of the infinite-precision result. For the
                 rest of the functions, the value returned is one of the
                 two floating-point neighbors bordering the
                 infinite-precision result, which implies exact results
                 if they are machine-representable. For the five
                 correctly rounded elementary functions, scalar and
                 vector algorithms are designed independently to
                 optimize performance in each case.",
  acknowledgement = ack-nhfb,
  classification = "723",
  journalabr =   "IBM J Res Dev",
  keywords =     "algorithms; Algorithms; computer metatheory; computer
                 programming; computer programming languages ---
                 fortran; design; elementary functions; fortran library;
                 IBM System/370; infinite-precision result; measurement;
                 performance; table-based algorithms",
  subject =      "C.4 Computer Systems Organization, PERFORMANCE OF
                 SYSTEMS \\ I.1.2 Computing Methodologies, ALGEBRAIC
                 MANIPULATION, Algorithms \\ F.3.3 Theory of
                 Computation, LOGICS AND MEANINGS OF PROGRAMS, Studies
                 of Program Constructs, Functional constructs \\ C.1.2
                 Computer Systems Organization, PROCESSOR ARCHITECTURES,
                 Multiple Data Stream Architectures (Multiprocessors),
                 Array and vector processors",
}

@Article{Amos:1986:APP,
  author =       "D. E. Amos",
  title =        "{Algorithm 644}: a Portable Package for {Bessel}
                 Functions of a Complex Argument and Nonnegative Order",
  journal =      j-TOMS,
  volume =       "12",
  number =       "3",
  pages =        "265--273",
  month =        sep,
  year =         "1986",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/7921.214331",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D20",
  MRnumber =     "889 069",
  bibdate =      "Tue Mar 09 10:26:27 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See also
                 \cite{Amos:1990:RPP,Amos:1995:RAP,Kodama:2007:RA}.",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p265-amos/",
  abstract =     "This algorithm is a package of subroutines for
                 Computing Bessel functions $H_{v}^{(1)}(z)$,
                 $H_{v}^{(2)}(z)$, $I_{v}(z)$, $J_{v}(z)$, $K_{v}(z)$,
                 $Y_{v}(z)$ and Airy functions $\mbox{Ai}(z)$,
                 $\mbox{Ai}'(z)$, $\mbox{Bi}(z)$, $\mbox{Bi}'(z)$ for
                 orders $v \geq 0$ and complex $z$ in $-\pi< \mbox{arg}
                 z \leq \pi$. Eight callable subroutines and their
                 double-precision counterparts are provided. Exponential
                 scaling and sequence generation are auxiliary
                 options.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  keywords =     "algorithms",
  subject =      "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Numerical algorithms. {\bf G.1.m}:
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Miscellaneous. {\bf G.m}: Mathematics of Computing,
                 MISCELLANEOUS.",
}

@Article{Andrews:1986:SCA,
  author =       "George E. Andrews and Ian P. Goulden and David M.
                 Jackson",
  title =        "{Shanks}' convergence acceleration transform,
                 {Pad{\'e}} approximants and partitions",
  journal =      j-J-COMB-THEORY-A,
  volume =       "43",
  number =       "1",
  pages =        "70--84",
  year =         "1986",
  CODEN =        "JCBTA7",
  DOI =          "http://dx.doi.org/10.1016/0097-3165(86)90024-5",
  ISSN =         "0097-3165",
  ISSN-L =       "0097-3165",
  MRclass =      "65B99 (11N99 11Y35)",
  MRnumber =     "859298 (88c:65005)",
  MRreviewer =   "Kenneth A. Jukes",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Combinatorial Theory (Series A)",
  keywords =     "convergence acceleration",
}

@Article{Bustoz:1986:GFI,
  author =       "Joaquin Bustoz and Mourad E. H. Ismail",
  title =        "On Gamma Function Inequalities",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "659--667",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A15 (26D20)",
  MRnumber =     "87m:33002",
  MRreviewer =   "G. Gasper",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1130 (Integral transforms); C1140Z (Other and
                 miscellaneous)",
  corpsource =   "Dept. of Math., Arizona State Univ., Tempe, AZ, USA",
  keywords =     "gamma function inequalities; infinite divisibility;
                 Laplace; Laplace transforms; monotonic functions;
                 probability; probability distributions; quotients;
                 transforms",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Campbell:1986:NSR,
  author =       "R. A. Campbell",
  title =        "{NS32000} Square Roots",
  journal =      j-DDJ,
  volume =       "11",
  number =       "3",
  pages =        "122--123, 106",
  month =        mar,
  year =         "1986",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Fri Dec 08 13:05:56 1995",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Cathey:1986:LEI,
  author =       "J. Cathey",
  title =        "Letter to the editor [Integer Square Root]",
  journal =      j-DDJ,
  volume =       "11",
  number =       "8",
  pages =        "14, 82--85",
  month =        aug,
  year =         "1986",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Thu Sep 08 07:59:25 1994",
  bibsource =    "http://www.ddj.com/index/author/index.htm;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Clenshaw:1986:GEL,
  author =       "C. W. Clenshaw and Daniel W. Lozier and F. W. J. Olver
                 and P. R. Turner",
  title =        "Generalized Exponential and Logarithmic Functions",
  journal =      j-COMP-MATH-APPL,
  volume =       "12",
  number =       "5--6",
  pages =        "1091--1101",
  month =        sep # "\slash " # dec,
  year =         "1986",
  CODEN =        "CMAPDK",
  DOI =          "http://dx.doi.org/10.1016/0898-1221(86)90233-6",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "33A70 (39B10 65G05)",
  MRnumber =     "MR0871348 (88a:33027)",
  bibdate =      "Fri Jul 09 06:27:26 2004",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  abstract =     "Generalizations of the exponential and logarithmic
                 functions are defined and an investigation is made of
                 two possible versions of these functions. Some
                 applications are described, including computer
                 arithmetic, properties of very large and very small
                 numbers, and the determination of functional roots.",
  acknowledgement = ack-nhfb,
}

@Article{Clenshaw:1986:UAR,
  author =       "C. W. Clenshaw and F. W. J. Olver",
  title =        "Unrestricted algorithms for reciprocals and square
                 roots",
  journal =      j-BIT,
  volume =       "26",
  number =       "4",
  pages =        "475--492",
  month =        dec,
  year =         "1986",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01935054",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D20",
  MRnumber =     "87k:65019",
  MRreviewer =   "Luciano Biasini",
  bibdate =      "Wed Jan 4 18:52:19 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=4;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=4&spage=475",
  acknowledgement = ack-nhfb,
  xxpages =      "476--492??",
}

@Article{DiMarzio:1986:IPA,
  author =       "F. {Di Marzio}",
  title =        "An improved procedure for the accurate evaluation of
                 polygamma functions with integer and half-integer
                 argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "39",
  number =       "3",
  pages =        "343--345",
  month =        apr,
  year =         "1986",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(86)90095-0",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:13 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465586900950",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Dutka:1986:SRT,
  author =       "Jacques Dutka",
  title =        "On square roots and their representations",
  journal =      j-ARCH-HIST-EXACT-SCI,
  volume =       "36",
  number =       "1",
  pages =        "21--39",
  month =        mar,
  year =         "1986",
  CODEN =        "AHESAN",
  DOI =          "http://dx.doi.org/10.1007/BF00357439",
  ISSN =         "0003-9519 (print), 1432-0657 (electronic)",
  ISSN-L =       "0003-9519",
  MRclass =      "01A05 (11-03 11A63)",
  MRnumber =     "863340 (87m:01003)",
  MRreviewer =   "Donald Cook",
  bibdate =      "Fri Feb 4 21:50:24 MST 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=36&issue=1;
                 http://www.math.utah.edu/pub/tex/bib/archhistexactsci.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=36&issue=1&spage=21",
  acknowledgement = ack-nhfb,
  fjournal =     "Archive for History of Exact Sciences",
  MRtitle =      "On square roots and their representations",
}

@Article{Evans:1986:RIU,
  author =       "D. J. Evans and G. M. Megson",
  title =        "{Romberg} integration using systolic arrays",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "3",
  number =       "4",
  pages =        "289--304",
  month =        oct,
  year =         "1986",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "11019",
  catcode =      "G.1.1; G.1.2",
  CRclass =      "G.1.1 Interpolation; G.1.1 Extrapolation; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Extrapolation; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "theory; design; algorithms",
  guideno =      "1986-10554",
  journalabbrev = "Parallel Comput.",
  jrldate =      "Oct. 1986",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{FernandezVelicia:1986:HPA,
  author =       "F. J. {Fern{\'a}ndez Velicia}",
  title =        "High-precision analytic approximations for the
                 {Fermi--Dirac} functions by means of elementary
                 functions",
  journal =      "Phys. Rev. A (3)",
  volume =       "34",
  number =       "5",
  pages =        "4387--4395",
  year =         "1986",
  CODEN =        "PLRAAN",
  ISSN =         "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
  MRclass =      "33A70 (82A05)",
  MRnumber =     "MR869021 (88b:33024)",
  bibdate =      "Wed Apr 13 06:46:35 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review. A. Third Series",
}

@Article{Froman:1986:PIF,
  author =       "Per Olof Fr{\"o}man and Finn Karlsson and Staffan
                 Yngve",
  title =        "Phase-integral formulas for {Bessel} functions and
                 their relation to already existing asymptotic
                 formulas",
  journal =      j-J-MATH-PHYS,
  volume =       "27",
  number =       "11",
  pages =        "2738--2747",
  month =        nov,
  year =         "1986",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.527296",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "41A60 (33A40 81C12)",
  MRnumber =     "87j:41073",
  bibdate =      "Mon Oct 31 11:57:50 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v27/i11/p2738_s1",
  acknowledgement = ack-nhfb,
  pagecount =    "10",
}

@InProceedings{Gal:1986:CEF,
  author =       "Shmuel Gal",
  title =        "Computing elementary functions: a new approach for
                 achieving high accuracy and good performance",
  crossref =     "Miranker:1986:ASC",
  pages =        "1--16",
  year =         "1986",
  MRclass =      "65D20",
  MRnumber =     "868 283",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Gustavson:1986:FEF,
  author =       "F. G. Gustavson",
  title =        "Fast Elementary Function Algorithms for 370 Machines",
  crossref =     "Miranker:1986:ASC",
  pages =        "17--17",
  year =         "1986",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Misc/MPG/lncs235.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Hull:1986:VPE,
  author =       "T. E. Hull and A. Abrham",
  title =        "Variable Precision Exponential Function",
  journal =      j-TOMS,
  volume =       "12",
  number =       "2",
  pages =        "79--91",
  month =        jun,
  year =         "1986",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65D15 (65D20)",
  MRnumber =     "863 786",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p79-hull/;
                 http://www.acm.org/pubs/toc/Abstracts/toms/6498.html",
  acknowledgement = ack-nhfb,
  bibno =        "91",
  content =      "algorithms; verification; THEORY",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.4 Algorithm analysis; G.4
                 Certification and testing; G.4 Verification",
  CRnumber =     "1986-02428",
  descriptor =   "mathematics of computing, numerical analysis,
                 approximation, elementary function approximation;
                 mathematics of computing, mathematical software,
                 algorithm analysis; mathematics of computing,
                 mathematical software, certification and testing;
                 mathematics of computing, mathematical software,
                 verification",
  fortitle =     "ACM Trans. Math. Softw.",
  genterm =      "June 1986",
  guideno =      "2",
  keywords =     "algorithms; theory; verification",
  review =       "ACM CR 8702-0091",
  subject =      "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation. {\bf G.4}: Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}:
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Certification and testing. {\bf G.4}: Mathematics of
                 Computing, MATHEMATICAL SOFTWARE, Verification.",
}

@Article{Kushner:1986:ECC,
  author =       "Ed Kushner and Rick Broussard",
  title =        "Efficient computation of the cylindrical {Bessel}
                 functions of complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "42",
  number =       "3",
  pages =        "345--349",
  month =        nov,
  year =         "1986",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(86)90004-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:16 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465586900044",
  abstract =     "An algorithm that generates the cylindrical Bessel
                 function very accurately for a wide range of complex
                 arguments has been developed by Mason. The Mason
                 algorithm consists of four different methods that apply
                 to different portions of the complex plane. Experience
                 with the Floating Point Systems FPS-364
                 minisupercomputer indicates several ways by which these
                 methods can be made more efficient. Specific
                 improvements relate to: (1) the method for
                 determination of the point where backward recursion is
                 initiated for the Bessel functions of the first kind;
                 (2) the way that the Bessel functions of the first and
                 second kind are normalized when $|y| < 5$ and $|x| \leq
                 20$; and (3) the extent that asymptotic expansions are
                 used when $|x| > 20$ and $|y| < 5$. The first and third
                 modifications will result in increased efficiency for
                 all architectures. The second modification will be of
                 value for many, but probably not all, architectures.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Lavoie:1986:SEG,
  author =       "J. L. Lavoie",
  title =        "Some evaluations for the generalized hypergeometric
                 series",
  journal =      j-MATH-COMPUT,
  volume =       "46",
  number =       "173",
  pages =        "215--218",
  month =        jan,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A35 (65D20)",
  MRnumber =     "87c:33007",
  MRreviewer =   "S. D. Bajpai",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0200 (Engineering mathematics and mathematical
                 techniques); B0290Z (Other numerical methods); C1100
                 (Mathematical techniques); C4190 (Other numerical
                 methods)",
  corpsource =   "Laval Univ., Que., Canada",
  keywords =     "evaluation formulae; generalized hypergeometric
                 series; series (mathematics); summation formulae; unit
                 argument; Whipple's theorem",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Marsaglia:1986:IGF,
  author =       "John C. W. Marsaglia",
  title =        "The Incomplete Gamma Function and Ramanujan's Rational
                 Approximation to $\exp(x)$",
  journal =      "Journal of Statistical Computation and Simulation",
  volume =       "24",
  number =       "??",
  pages =        "163--169",
  month =        "????",
  year =         "1986",
  bibdate =      "Wed Jun 22 07:21:14 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Muller:1986:MDC,
  author =       "Jean-Michel Muller",
  title =        "Une m{\'e}thodologie du calcul hardware des fonctions
                 {\'e}l{\'e}mentaires. ({French}) [{A} methodology for
                 the hardware computation of elementary functions]",
  journal =      j-MATH-MODEL-NUM-ANA,
  volume =       "20",
  number =       "4",
  pages =        "667--695",
  year =         "1986",
  CODEN =        "RMMAEV",
  ISSN =         "0764-583X (print), 1290-3841 (electronic)",
  MRclass =      "65D20 (41-04)",
  MRnumber =     "88h:65043",
  MRreviewer =   "E. W. Cheney",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Piessens:1986:ATP,
  author =       "Robert Piessens and Shafique Ahmed",
  title =        "Approximation for the turning points of {Bessel}
                 functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "64",
  number =       "1",
  pages =        "253--257",
  month =        may,
  year =         "1986",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(86)90029-X",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:29 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199918690029X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Reichel:1986:PAU,
  author =       "L. Reichel",
  title =        "On polynomial approximation in the uniform norm by the
                 discrete least squares method",
  journal =      j-BIT,
  volume =       "26",
  number =       "3",
  pages =        "350--368",
  month =        jan,
  year =         "1986",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "12404",
  catcode =      "G.1.2; G.1.2; G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Least squares
                 approximation; G.1.2 Approximation; G.1.2 Spline and
                 piecewise polynomial approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Least squares approximation; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Approximation, Spline
                 and piecewise polynomial approximation",
  genterm =      "algorithms",
  guideno =      "1986-03278",
  jrldate =      "Jan. 1986",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{S:1986:CEF,
  author =       "A. S. Kuz'menko and K. I. Rogozin",
  title =        "Calculation of elementary functions in a number system
                 with arbitrary basis on the basis of order-differential
                 transformations. ({Russian})",
  journal =      "Prace Nauk. Inst. Cybernet. Tech. Politech.
                 Wroc{\l}aw. Ser. Konfer.",
  volume =       "74",
  number =       "31",
  pages =        "259--262",
  year =         "1986",
  MRclass =      "65G99 (65D20)",
  MRnumber =     "894 691",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Shore:1986:AID,
  author =       "Haim Shore",
  title =        "An approximation for the inverse distribution function
                 of a combination of random variables, with an
                 application to operating theatres",
  journal =      j-J-STAT-COMPUT-SIMUL,
  volume =       "23",
  number =       "3",
  pages =        "157--181",
  year =         "1986",
  CODEN =        "JSCSAJ",
  ISSN =         "0094-9655 (print), 1563-5163 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Ban-llan University, Israel",
  bibno =        "5358",
  catcode =      "G.3; G.m; G.1.2; G.2.1; J.3; G.3",
  content =      "The author worked on a project to predict the
                 percentage of time that operations are carried out
                 relative to the time that the operating theater is
                 available. The numerator of the percentage is a
                 weighted sum of the times required to carry out
                 different kinds of operations, where the weights are
                 the numbers of operations of each kind to be performed.
                 Since different kinds of operations have different mean
                 times, this sum has a skewed distribution.\par

                 Based on the Central Limit Theorem, the normal
                 distribution is the most widely used approximation to
                 the distribution of a weighted sum of random variables.
                 However, this approximation is not very good if the sum
                 has a skewed distribution.\par

                 In a separate paper [1], the author derived an
                 alternative approximation based on the first four
                 moments of the sum. In the present paper, he applies
                 this approximation to the operating theater problem by
                 estimating the moments of the times of the different
                 kinds of operations. The paper also contains a Monte
                 Carlo comparison of the normal approximation with the
                 proposed approximation for four underlying
                 distributions of the sum.",
  CRclass =      "G.3 Statistical computing; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.2.1 Combinatorics;
                 G.2.1 Generating functions; J.3 Health; G.3
                 Probabilistic algorithms (including Monte Carlo)",
  CRnumber =     "8612-1109",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 MISCELLANEOUS; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, DISCRETE
                 MATHEMATICS, Combinatorics, Generating functions;
                 Computer Applications, LIFE AND MEDICAL SCIENCES,
                 Health; Mathematics of Computing, PROBABILITY AND
                 STATISTICS, Probabilistic algorithms (including Monte
                 Carlo)",
  genterm =      "algorithms; measurement",
  journalabbrev = "J. Stat. Comput. Simul.",
  jrldate =      "1986",
  reviewer =     "M. Snyder",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.m
                 MISCELLANEOUS; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.2
                 DISCRETE MATHEMATICS; J. Computer Applications; J.3
                 LIFE AND MEDICAL SCIENCES; G. Mathematics of Computing;
                 G.3 PROBABILITY AND STATISTICS",
}

@Article{Skeel:1986:CVS,
  author =       "Robert D. Skeel",
  title =        "Construction of Variable-Stepsize Multistep Formulas",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "503--510, S45--S52",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65L05",
  MRnumber =     "87j:65080",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4110 (Error analysis in numerical methods); C4170
                 (Differential equations)",
  corpsource =   "Dept. of Comput. Sci., Illnois Univ., Urbana, IL,
                 USA",
  keywords =     "Adams formula; adaptable multistep methods;
                 backward-differentiation; differential equations; error
                 analysis; estimation; first Dahlquist barrier; fixed
                 leading coefficient method; fixed-coefficient methods;
                 fixed-stepsize; formula; formula changing; initial
                 value; interpolatory methods; local error; minimum
                 storage variable-stepsize; multistep formula; Nordsieck
                 stepsize changing technique; problems; step methods;
                 variable; variable coefficient methods; variable-order
                 family of variable-coefficient formulas",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Skeel:1986:SCV,
  author =       "Robert D. Skeel",
  title =        "Supplement to Construction of Variable-Stepsize
                 Multistep Formulas",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "S45--S52",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Temme:1986:DIC,
  author =       "N. M. Temme",
  title =        "A double integral containing the modified {Bessel}
                 function: asymptotics and computation",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "683--691",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A40 (41A60 65D30)",
  MRnumber =     "87m:33006",
  MRreviewer =   "S. D. Bajpai",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4110 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation); C4160
                 (Numerical integration and differentiation)",
  corpsource =   "Centre for Math. and Comput. Sci., Amsterdam,
                 Netherlands",
  keywords =     "distribution function; double integral; error
                 analysis; error function; integral; integration;
                 modified Bessel function; normal; polynomials;
                 probability; series (mathematics); series expansions;
                 two-dimensional",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Thompson:1986:CBF,
  author =       "I. J. Thompson and A. R. Barnett",
  title =        "{Coulomb} and {Bessel} functions of complex arguments
                 and order",
  journal =      j-J-COMPUT-PHYS,
  volume =       "64",
  number =       "2",
  pages =        "490--509",
  month =        jun,
  year =         "1986",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(86)90046-X",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:30 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199918690046X",
  abstract =     "The Coulomb wavefunctions, originally constructed for
                 real $\varrho > 0$, real $\eta$ and integer $\lambda
                 \geq 0$ are defined for $\varrho$, $\eta$, and
                 $\lambda$ all complex. We examine the complex
                 continuation of a variety of series and
                 continued-fraction expansions for the Coulomb functions
                 and their logarithmic derivatives, and then see how
                 these expansions may be selectively combined to
                 calculate both the regular and irregular functions and
                 their derivatives. The resulting algorithm [46] is a
                 complex generalisation of Steed's method [6, 7] as it
                 appears in the real procedure COULFG [10]. Complex
                 Whittaker, confluent hypergeometric and Bessel
                 functions can also be calculated.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Zaritskaya:1986:ACE,
  author =       "Z. V. Zaritskaya and A. I. Shva{\u{\i}} and P. \=E.
                 Antonyuk",
  title =        "Approximation of certain elementary functions in the
                 metric ${L}$. ({Russian})",
  journal =      "Vestnik L'vov. Politekhn. Inst.",
  volume =       "202",
  pages =        "38--40",
  year =         "1986",
  MRclass =      "149.41A10 (33A10)",
  MRnumber =     "87j:41030",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Agarwal:1987:CNS,
  author =       "Ramesh C. Agarwal and James W. Cooley and Fred G.
                 Gustavson and James B. Shearer and Gordon Slishman and
                 Bryant Tuckerman",
  title =        "Clarification: {``New scalar and vector elementary
                 functions for the IBM System/370''} [{IBM J. Res.
                 Develop. {\bf 30} (1986), no. 2, 126--144}]",
  journal =      j-IBM-JRD,
  volume =       "31",
  number =       "2",
  pages =        "274--274",
  year =         "1987",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  MRclass =      "76W05",
  MRnumber =     "MR894626",
  bibdate =      "Wed Apr 13 06:46:35 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Agarwal:1986:NSV}.",
  acknowledgement = ack-nhfb,
  fjournal =     "International Business Machines Corporation. Journal
                 of Research and Development",
}

@PhdThesis{Braune:1987:HSF,
  author =       "K. Braune",
  title =        "{Hochgenaue Standardfunktionen f{\"u}r reelle und
                 komplexe Punkte und Intervalle in beliebigen
                 Gleitpunktrastern} \toenglish {High-Accuracy Elementary
                 Functions for Real and Complex Points and Intervals in
                 Arbitrary Floating-Point Systems} \endtoenglish",
  type =         "Dissertation",
  school =       "Universit{\"a}t Karlsruhe",
  address =      "Karlsruhe, Germany",
  pages =        "????",
  year =         "1987",
  bibdate =      "Fri Sep 16 16:30:40 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Buhring:1987:BUA,
  author =       "Wolfgang B{\"u}hring",
  title =        "The behavior at unit argument of the hypergeometric
                 function {${}_3F_2$}",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "18",
  number =       "5",
  pages =        "1227--1234",
  month =        sep,
  year =         "1987",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A30",
  MRnumber =     "88j:33004",
  MRreviewer =   "K. M. Saksena",
  bibdate =      "Sun Nov 28 19:24:11 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/18/5;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
}

@Article{Carlson:1987:TEI,
  author =       "B. C. Carlson",
  title =        "A Table of Elliptic Integrals of the Second Kind",
  journal =      j-MATH-COMPUT,
  volume =       "49",
  number =       "180",
  pages =        "595--606, S13--S17",
  month =        oct,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05 (33A25 65V05)",
  MRnumber =     "89b:65013",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4160 (Numerical integration and differentiation);
                 C7310 (Mathematics)",
  corpsource =   "Dept. of Math., Iowa State Univ., Ames, IA, USA",
  keywords =     "elliptic integrals of the second kind; FORTRAN
                 listings; integration; mathematics computing; standard
                 R-functions",
  treatment =    "P Practical; T Theoretical or Mathematical; X
                 Experimental",
}

@Article{Crandall:1987:EFE,
  author =       "R. E. Crandall and J. P. Buhler",
  title =        "Elementary function expansions for {Madelung}
                 constants",
  journal =      j-J-PHYS-A,
  volume =       "20",
  number =       "16",
  pages =        "5497--5510",
  year =         "1987",
  CODEN =        "JPHAC5",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  MRclass =      "82A60 (82-08)",
  MRnumber =     "MR924725 (88m:82034)",
  bibdate =      "Wed Apr 13 06:46:35 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physics. A. Mathematical and General",
}

@Article{Dunham:1987:PMAa,
  author =       "Charles B. Dunham",
  title =        "Provably monotone approximations",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "2",
  pages =        "6--11",
  month =        apr,
  year =         "1987",
  CODEN =        "SNEWD6",
  DOI =          "http://doi.acm.org/10.1145/24936.24938",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  bibdate =      "Tue Apr 12 07:50:15 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "theory; verification",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation",
}

@Article{Dunham:1987:PMAb,
  author =       "Charles B. Dunham",
  title =        "Provably monotone approximations, {II}",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "3",
  pages =        "30--31",
  month =        jul,
  year =         "1987",
  CODEN =        "SNEWD6",
  DOI =          "http://doi.acm.org/10.1145/36318.36323",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  bibdate =      "Tue Apr 12 07:50:15 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "theory",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation",
}

@Article{Gervais:1987:RAF,
  author =       "R. Gervais and Q. I. Rahman and G. Schmeisser",
  title =        "Representation and approximation of functions via
                 $(0,2)$-interpolation",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "2",
  pages =        "89--110",
  month =        jun,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30719",
  catcode =      "G.1.2; G.1.1",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.1 Interpolation; G.1.1 Spline and
                 piecewise polynomial interpolation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Spline and piecewise polynomial
                 interpolation",
  genterm =      "theory; verification",
  guideno =      "1987-09238",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "June 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Johnson:1987:AES,
  author =       "Kenneth C. Johnson",
  title =        "{Algorithm 650}: Efficient Square Root Implementation
                 on the 68000",
  journal =      j-TOMS,
  volume =       "13",
  number =       "2",
  pages =        "138--151",
  month =        jun,
  year =         "1987",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/328512.328520",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D15",
  MRnumber =     "898 489",
  bibdate =      "Sun Sep 4 21:36:32 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See also \cite{Johnson:1987:CES}.",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
}

@Article{Johnson:1987:CES,
  author =       "Kenneth C. Johnson",
  title =        "Corrigendum: {``Algorithm 650: efficient square root
                 implementation on the 68000'' [{ACM} Trans. Math.
                 Software {\bf 13} (1987), no. 2, 138--151]}",
  journal =      j-TOMS,
  volume =       "13",
  number =       "3",
  pages =        "320--320",
  month =        sep,
  year =         "1987",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/29380.356210",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "320. 65D15",
  MRnumber =     "918 582",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Johnson:1987:AES}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
}

@InProceedings{Kahan:1987:BCC,
  author =       "W. Kahan",
  title =        "Branch Cuts for Complex Elementary Functions or Much
                 Ado About Nothing's Sign Bit",
  crossref =     "Iserles:1987:SAN",
  volume =       "9",
  pages =        "165--211",
  year =         "1987",
  MRclass =      "65E05",
  MRnumber =     "88k:65027",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Kramer:1987:ISR,
  author =       "W. Kr{\"a}mer",
  title =        "Inverse Standardfunktionen f{\"u}r reelle und komplexe
                 Intervallargumente mit a priori Fehlerabsch{\"a}tzungen
                 f{\"u}r beliebige Datenformate \toenglish {Inverse
                 Elementary Functions for Real and Complex Interval
                 Arguments with {A}-Priori Error Estimates for Arbitrary
                 Data Formats} \endtoenglish",
  type =         "Dissertation",
  school =       "Universit{\"a}t Karlsruhe",
  address =      "Karlsruhe, Germany",
  pages =        "????",
  year =         "1987",
  bibdate =      "Fri Sep 16 16:30:41 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Lewanowicz:1987:CRR,
  author =       "Stanis{\l}aw Lewanowicz",
  title =        "Corrigendum: {``Recurrence relations for
                 hypergeometric functions of unit argument''} {[Math.
                 Comp. {\bf 45} (1985), no. 172, 521--535, MR
                 86m:33004]}",
  journal =      j-MATH-COMPUT,
  volume =       "48",
  number =       "178",
  pages =        "853--853",
  month =        apr,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A35 (65Q05)",
  MRnumber =     "88a:33013",
  bibdate =      "Wed Jan 15 09:19:34 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
  acknowledgement = ack-nhfb,
}

@MastersThesis{Liu:1987:BEF,
  author =       "Z. A. Liu",
  title =        "{Berkeley} Elementary Function Test Suite",
  type =         "{M.S.} thesis",
  school =       "Computer Science Division, Department of Electrical
                 Engineering and Computer Science, Univerity of
                 California at Berkeley",
  address =      "Berkeley, CA, USA",
  month =        dec,
  year =         "1987",
  bibdate =      "Mon Sep 12 23:52:34 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
}

@Article{Lo:1987:HGA,
  author =       "Hao-Yung Lo and Jau-Ling Chen",
  title =        "A Hardwired Generalized Algorithm for Generating the
                 Logarithm Base-$k$ by Iteration",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-36",
  number =       "11",
  pages =        "1363--1367",
  month =        nov,
  year =         "1987",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1987.5009477",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sat Jul 9 09:28:57 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009477",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@InProceedings{Mathis:1987:EFP,
  author =       "Robert F. Mathis",
  title =        "Elementary Functions Package for {Ada}",
  crossref =     "ACM:1987:UAA",
  pages =        "95--100",
  month =        dec,
  year =         "1987",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Compiler/ada.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Moricz:1987:ACF,
  author =       "Ferenc Moricz and Xianliang Shi",
  title =        "Approximation to continuous functions by {Cesaro}
                 means of double {Fourier} series and conjugate series",
  journal =      j-J-APPROX-THEORY,
  volume =       "49",
  number =       "4",
  pages =        "346--377",
  month =        apr,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30744",
  catcode =      "G.1.2; G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Least squares
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Least squares approximation",
  genterm =      "theory; verification",
  guideno =      "1987-09224",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "April 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Musielak:1987:AEG,
  author =       "J. Musielak",
  title =        "Approximation of elements of a generalized {Orlicz}
                 sequence space by nonlinear, singular kernels",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "4",
  pages =        "366--372",
  month =        aug,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30716",
  catcode =      "G.2.1; G.1.5; G.1.2",
  CRclass =      "G.2.1 Combinatorics; G.2.1 Generating functions; G.1.5
                 Roots of Nonlinear Equations; G.1.5 Convergence; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, DISCRETE MATHEMATICS,
                 Combinatorics, Generating functions; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
                 Equations, Convergence; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "theory; verification",
  guideno =      "1987-09257",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Aug. 1987",
  subject =      "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Pereira:1987:CEC,
  author =       "N. Costa Pereira",
  title =        "Corrigendum: {``Estimates for the {Chebyshev} function
                 $\psi(x) - \theta(x)$''} {[Math. Comp. {\bf 44} (1985),
                 no. 169, 211--221, MR 86k:11005]}",
  journal =      j-MATH-COMPUT,
  volume =       "48",
  number =       "177",
  pages =        "447--447",
  month =        jan,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "11A25 (11N45 11Y35 33A70)",
  MRnumber =     "87k:11006",
  bibdate =      "Thu Jun 15 07:27:03 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Pereira:1985:ECF}.",
  acknowledgement = ack-nhfb,
}

@Article{Proinov:1987:NIA,
  author =       "Petko D. Proinov",
  title =        "Numerical integration and approximation of
                 differentiable functions, {II}",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "4",
  pages =        "373--393",
  month =        aug,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30717",
  catcode =      "G.1.4; G.1.2",
  CRclass =      "G.1.4 Quadrature and Numerical Differentiation; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Quadrature and Numerical Differentiation; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  genterm =      "theory; verification",
  guideno =      "1987-09258",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Aug. 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Rolfe:1987:FIS,
  author =       "Timothy J. Rolfe",
  title =        "On a Fast Integer Square Root Algorithm",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "4",
  pages =        "6--11",
  month =        oct,
  year =         "1987",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:16 MDT 2005",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  keywords =     "algorithms; performance; theory",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Number-theoretic computations",
}

@Article{Smith:1987:BAM,
  author =       "P. W. Smith and J. J. Swetits",
  title =        "Best approximation by monotone functions",
  journal =      j-J-APPROX-THEORY,
  volume =       "49",
  number =       "4",
  pages =        "398--403",
  month =        apr,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30747",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory; verification",
  guideno =      "1987-09227",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "April 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Book{Spanier:1987:AF,
  author =       "Jerome Spanier and Keith B. Oldham",
  title =        "An Atlas of Functions",
  publisher =    "Hemisphere Publishing Corporation",
  address =      "Washington, DC, USA",
  pages =        "ix + 700",
  year =         "1987",
  ISBN =         "0-89116-573-8, 3-540-17395-1",
  ISBN-13 =      "978-0-89116-573-6, 978-3-540-17395-3",
  LCCN =         "QA331 .S685 1987",
  bibdate =      "Fri Aug 31 16:20:13 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "US\$90.00 (est.)",
  acknowledgement = ack-nhfb,
  subject =      "elementary functions; special functions; cognate
                 functions; complementary incomplete gamma function;
                 complementary modulus; complete beta function; complex
                 argument when; cosecant functions; cotangent functions;
                 digamma function; economized polynomial; error function
                 complement; eta numbers; function and its reciprocal;
                 hypergeometric algorithm; important definite integrals;
                 incomplete elliptic integrals; inverse gudermannian
                 function; inverse hyperbolic functions; negative
                 integer order; other definite integrals; parabolic
                 cylinder function; polygamma functions; purely
                 imaginary argument; reciprocal linear function;
                 reflection formula",
}

@Article{Stoyanov:1987:AE,
  author =       "Basil J. Stoyanov and Richard A. Farrell",
  title =        "On the Asymptotic Evaluation of $\int^{\pi/2}_0
                 {J}^2_0(\gamma \sin x) dx$",
  journal =      j-MATH-COMPUT,
  volume =       "49",
  number =       "179",
  pages =        "275--279",
  month =        jul,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "41A60 (65D30)",
  MRnumber =     "88e:41067",
  MRreviewer =   "Roderick Wong",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1120 (Analysis); C4180 (Integral equations)",
  corpsource =   "Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD,
                 USA",
  keywords =     "analytical expression; asymptotic behavior; asymptotic
                 evaluation; Bessel functions; first kind; integral;
                 integral equations; order Bessel function; positive
                 parameter; zeroth-",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Tanese:1987:PGA,
  author =       "Reiko Tanese",
  editor =       "John J. Grefenstette",
  booktitle =    "Genetic algorithms and their applications: proceedings
                 of the second International Conference on Genetic
                 Algorithms: July 28--31, 1987 at the Massachusetts
                 Institute of Technology, Cambridge, MA",
  title =        "Parallel genetic algorithms for a hypercube",
  publisher =    pub-ERLBAUM,
  address =      pub-ERLBAUM:adr,
  pages =        "177--183",
  year =         "1987",
  ISBN =         "0-8058-0158-8, 0-8058-0159-6 (paperback)",
  ISBN-13 =      "978-0-8058-0158-3, 978-0-8058-0159-0 (paperback)",
  LCCN =         "Q334 .I5561 1987",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$39.95",
  acknowledgement = ack-nhfb,
  bibno =        "42536",
  bookpages =    "260",
  catcode =      "I.2.6; G.1.0; G.1.2; C.1.2",
  CRclass =      "I.2.6 Learning; I.2.6 Analogies; G.1.0 General; G.1.0
                 Parallel algorithms; G.1.2 Approximation; G.1.2
                 Elementary function approximation; C.1.2 Multiple Data
                 Stream Architectures (Multiprocessors); C.1.2 Parallel
                 processors",
  descriptor =   "Computing Methodologies, ARTIFICIAL INTELLIGENCE,
                 Learning, Analogies; Mathematics of Computing,
                 NUMERICAL ANALYSIS, General, Parallel algorithms;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Computer Systems Organization, PROCESSOR ARCHITECTURES,
                 Multiple Data Stream Architectures (Multiprocessors),
                 Parallel processors",
  genterm =      "algorithms; performance; experimentation",
  guideno =      "1988-16888",
  procdate =     "Sponsored by Amer. Assoc. for AI, Naval Res. Lab. and
                 Bolt Beranek & Newman, July 28-31, 1987",
  procloc =      "Cambridge, MA",
  subject =      "I. Computing Methodologies; I.2 ARTIFICIAL
                 INTELLIGENCE; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; C. Computer Systems Organization;
                 C.1 PROCESSOR ARCHITECTURES",
}

@Article{Thompson:1987:IEF,
  author =       "Peter Thompson",
  title =        "Implementing an Elementary Function Library",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "2",
  pages =        "2--5",
  month =        apr,
  year =         "1987",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  bibno =        "24937",
  catcode =      "G.m; D.3.2",
  CRclass =      "D.3.2 Language Classifications; D.3.2 OCCAM",
  descriptor =   "Mathematics of Computing, MISCELLANEOUS; Software,
                 PROGRAMMING LANGUAGES, Language Classifications,
                 OCCAM",
  genterm =      "theory; languages",
  guideno =      "1987-03363",
  journalabbrev = "SIGNUM Newsl.",
  jrldate =      "April 1987",
  subject =      "G. Mathematics of Computing; G.m MISCELLANEOUS; D.
                 Software; D.3 PROGRAMMING LANGUAGES",
}

@Article{Thompson:1987:MBF,
  author =       "I. J. Thompson and A. R. Barnett",
  title =        "Modified {Bessel} functions {$I_\nu(z)$} and
                 {$K_\nu(z)$} of real order and complex argument, to
                 selected accuracy",
  journal =      j-COMP-PHYS-COMM,
  volume =       "47",
  number =       "2--3",
  pages =        "245--257",
  month =        nov # "\slash " # dec,
  year =         "1987",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(87)90111-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:21 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.sciencedirect.com/science/journal/00104655",
  note =         "See erratum \cite{Thompson:2004:EBB}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465587901111",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
}

@Article{Timan:1987:DFP,
  author =       "A. F. Timan",
  title =        "Distribution of fractional parts and approximation of
                 functions with singularities by {Bernstein}
                 polynomials",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "2",
  pages =        "167--174",
  month =        jun,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30725",
  catcode =      "G.1.5; G.1.2",
  CRclass =      "G.1.5 Roots of Nonlinear Equations; G.1.5 Polynomials,
                 methods for; G.1.2 Approximation; G.1.2 Elementary
                 function approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
                 Nonlinear Equations, Polynomials, methods for;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory; verification",
  guideno =      "1987-09244",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "June 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Visentin:1987:FAE,
  author =       "Kley Visentin and Pablo Mart{\'\i}n",
  title =        "Fractional approximation to elliptic functions",
  journal =      j-J-MATH-PHYS,
  volume =       "28",
  number =       "2",
  pages =        "330--333",
  month =        feb,
  year =         "1987",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.527661",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "41A10 (33A65)",
  MRnumber =     "87m:41009",
  bibdate =      "Mon Oct 31 11:57:55 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v28/i2/p330_s1",
  acknowledgement = ack-nhfb,
  pagecount =    "4",
}

@Article{Zurawski:1987:DHS,
  author =       "J. H. P. Zurawski and J. B. Gosling",
  title =        "Design of a High-Speed Square Root Multiply and Divide
                 Unit",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-36",
  number =       "1",
  pages =        "13--23",
  month =        jan,
  year =         "1987",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/TC.1987.5009445",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sat Jul 9 09:28:49 MDT 2011",
  bibsource =    "http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009445",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
}

@Article{Zwick:1987:BAC,
  author =       "D. Zwick",
  title =        "Best approximation by convex functions",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "6",
  pages =        "528--534",
  month =        jul,
  year =         "1987",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "University of Vermont, Vermont, NY",
  bibno =        "43727",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory; verification",
  guideno =      "1988-04405",
  journalabbrev = "Am. Math. Monthly",
  jrldate =      "June/July 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Book{Aberth:1988:PNA,
  author =       "Oliver Aberth",
  title =        "Precise Numerical Analysis",
  publisher =    pub-WCB,
  address =      pub-WCB:adr,
  pages =        "x + 225",
  year =         "1988",
  ISBN =         "0-697-06760-2",
  ISBN-13 =      "978-0-697-06760-9",
  LCCN =         "QA297 .A28 1988",
  bibdate =      "Mon Oct 24 11:37:20 2011",
  bibsource =    "file://sunrise/u/sy/beebe/tex/bib/all_brec.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Aberth addresses elementary issues of precise floating
                 point computations using variable precision range
                 arithmetic. Numbers are represented as a variable
                 precision number $\pm$ a range. Rational arithmetic is
                 also considered. Chapters are devoted to
                 \begin{enumerate} \item rootfinding, \item polynomial
                 rootfinding, \item numerical linear algebra, \item
                 differentiation and integration, and \item ordinary
                 differential equations.\end{enumerate} Differentiation
                 is handled by a codelist approach like [Rall81a], and
                 applications to Taylor series are given. Interval
                 techniques for ordinary differential equations are
                 based on using an {\it a priori\/} bound to capture
                 remainder terms. Several methods are illustrated,
                 including Taylor series methods.",
  acknowledgement = ack-nj,
  comment =      "Text for a one semester, junior level course in
                 numerical analysis. Includes PC disk with software
                 written in PBASIC. Sound introductory level discussion
                 of code lists and error capture techniques.",
  keywords =     "differentiation; differentiation arithmetic; general
                 numerical analysis; integration; interval techniques;
                 linear algebra; ordinary differential equations.;
                 variable precision arithmetic",
}

@Article{Alonso:1988:SCN,
  author =       "Javier Alonso and Carlos Benitez",
  title =        "Some characteristic and non-characteristic properties
                 of inner product spaces",
  journal =      j-J-APPROX-THEORY,
  volume =       "55",
  number =       "3",
  pages =        "318--325",
  month =        dec,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56052",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "theory; verification",
  guideno =      "1988-10198",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Bailey:1988:CDD,
  author =       "David H. Bailey",
  title =        "The computation of $\pi$ to $29,360,000$ decimal
                 digits using {Borweins}' quartically convergent
                 algorithm",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "181",
  pages =        "283--296",
  month =        jan,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "11Y60 (11-04 11K16 65-04)",
  MRnumber =     "88m:11114",
  MRreviewer =   "A. J. van der Poorten",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1140Z (Other and miscellaneous); C1160 (Combinatorial
                 mathematics); C4130 (Interpolation and function
                 approximation); C5470 (Performance evaluation and
                 testing); C7310 (Mathematics)",
  corpsource =   "NASA Ames Res. Centre, Moffet Field, CA, USA",
  keywords =     "Borwein quartically convergent algorithm; computation
                 of pi; computer testing; Cray 2 computer test; decimal
                 expansion; elliptic integrals; iterative methods;
                 mathematics computing; multiprecision arithmetic;
                 number theory; prime modulus; series (mathematics);
                 statistical analyses; statistical analysis; transform",
  treatment =    "X Experimental",
}

@Article{Bloom:1988:LCL,
  author =       "Thomas Bloom",
  title =        "The {Lebesgue} constant for {Lagrange} interpolation
                 in the simplex",
  journal =      j-J-APPROX-THEORY,
  volume =       "54",
  number =       "3",
  pages =        "338--353",
  month =        sep,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56887",
  catcode =      "G.1.1; G.1.2; G.1.2; G.1.7; G.1.7",
  CRclass =      "G.1.1 Interpolation; G.1.1 Interpolation formulas;
                 G.1.2 Approximation; G.1.2 Minimax approximation and
                 algorithms; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; G.1.7 Ordinary Differential
                 Equations; G.1.7 Convergence and stability; G.1.7
                 Ordinary Differential Equations; G.1.7 Boundary value
                 problems",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Interpolation formulas; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Minimax
                 approximation and algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Ordinary Differential Equations, Convergence
                 and stability; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Ordinary Differential Equations, Boundary
                 value problems",
  guideno =      "1988-10170",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Sept. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Borwein:1988:CFF,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the complexity of familiar functions and numbers",
  journal =      j-SIAM-REVIEW,
  volume =       "30",
  number =       "4",
  pages =        "589--601",
  month =        dec,
  year =         "1988",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "58008",
  catcode =      "G.1.2; F.2.1; F.1.3",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; F.2.1 Numerical Algorithms and Problems;
                 F.1.3 Complexity Classes",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
                 Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
                 Complexity Classes",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13907",
  journalabbrev = "SIAM Rev.",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1
                 COMPUTATION BY ABSTRACT DEVICES",
}

@Article{Borwein:1988:PAE,
  author =       "Peter B. Borwein",
  title =        "{Pad{\'e}} approximants for the $q$-elementary
                 functions",
  journal =      j-CONST-APPROX,
  volume =       "4",
  number =       "4",
  pages =        "391--402",
  year =         "1988",
  ISSN =         "0176-4276",
  MRclass =      "41A21 (33A10 41A20)",
  MRnumber =     "89f:41022",
  MRreviewer =   "Annie A. M. Cuyt",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Brezinski:1988:NAC,
  author =       "Claude Brezinski",
  booktitle =    "{Nonlinear numerical methods and rational
                 approximation (Wilrijk, 1987)}",
  title =        "A new approach to convergence acceleration methods",
  volume =       "43",
  publisher =    "Reidel",
  address =      "Dordrecht",
  pages =        "373--405",
  year =         "1988",
  MRclass =      "65Bxx (40A25)",
  MRnumber =     "1005369 (90m:65010)",
  MRreviewer =   "John P. Coleman",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Math. Appl.",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Carlson:1988:TEI,
  author =       "B. C. Carlson",
  title =        "A Table of Elliptic Integrals of the Third Kind",
  journal =      j-MATH-COMPUT,
  volume =       "51",
  number =       "183",
  pages =        "267--280, S1--S5",
  month =        jul,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "33A25 (65A05)",
  MRnumber =     "89k:33003",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290R (Integral equations); B0220 (Analysis); B0290D
                 (Functional analysis); B0290M (Numerical integration
                 and differentiation); C4180 (Integral equations); C1120
                 (Analysis); C4120 (Functional analysis); C4160
                 (Numerical integration and differentiation)",
  corpsource =   "Iowa State Univ., Ames, IA, USA",
  keywords =     "Cauchy principal values; elliptic integrals; FORTRAN
                 listings; function evaluation; integral equations;
                 integration; points; real singular; recurrence
                 relations; standard R-functions",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Cartwright:1988:JTC,
  author =       "Donald I. Cartwright and Krzysztof Kucharski",
  title =        "{Jackson's Theorem} for compact connect {Lie} groups",
  journal =      j-J-APPROX-THEORY,
  volume =       "55",
  number =       "3",
  pages =        "352--359",
  month =        dec,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56056",
  catcode =      "G.2.m; G.1.2",
  CRclass =      "G.2.m Miscellaneous; G.1.2 Approximation; G.1.2
                 Elementary function approximation",
  descriptor =   "Mathematics of Computing, DISCRETE MATHEMATICS,
                 Miscellaneous; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "verification; theory",
  guideno =      "1988-10202",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Chiccoli:1988:EGE,
  author =       "C. Chiccoli and S. Lorenzutta and G. Maino",
  title =        "On the evaluation of generalized exponential integrals
                 {$E_\nu(x)$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "78",
  number =       "2",
  pages =        "278--287",
  month =        oct,
  year =         "1988",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(88)90050-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:42 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999188900502",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Cover:1988:DII,
  author =       "Thomas M. Cover and Joy A. Thomas",
  title =        "Determinant inequalities via information theory",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "9",
  number =       "3",
  pages =        "384--392",
  month =        jul,
  year =         "1988",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "58040",
  catcode =      "H.1.1; G.1.3; F.2.1; G.1.2",
  CRclass =      "H.1.1 Systems and Information Theory; H.1.1
                 Information theory; G.1.3 Numerical Linear Algebra;
                 G.1.3 Determinants; F.2.1 Numerical Algorithms and
                 Problems; F.2.1 Computations on matrices; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Information Systems, MODELS AND PRINCIPLES, Systems
                 and Information Theory, Information theory; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Numerical Linear
                 Algebra, Determinants; Theory of Computation, ANALYSIS
                 OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
                 Algorithms and Problems, Computations on matrices;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13777",
  journalabbrev = "SIAM J. Matrix Anal. Appl.",
  jrldate =      "July 1988",
  subject =      "H. Information Systems; H.1 MODELS AND PRINCIPLES; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}

@InProceedings{Davenport:1988:ICF,
  author =       "J. H. Davenport",
  editor =       "N. M. Stephens and M. P. Thorne",
  booktitle =    "Computers in mathematical research: based on the
                 proceedings of a conference organized by the Institute
                 of Mathematics and its Applications on computers in
                 mathematical research, held at University College,
                 Cardiff in September 1986",
  title =        "Integration in closed form",
  volume =       "14",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  year =         "1988",
  ISBN =         "0-19-853620-8",
  ISBN-13 =      "978-0-19-853620-8",
  LCCN =         "QA11.A1 C618 1986",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$57.50",
  series =       "Institute of Mathematics and its applications
                 conference series, new series",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Bath",
  bibno =        "52474",
  bookpages =    "235",
  catcode =      "J.2; F.2.1; G.1.2; G.1.2; I.2.9; F.2.1",
  CRclass =      "J.2 Mathematics and statistics; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Number-theoretic
                 computations; G.1.2 Approximation; G.1.2 Rational
                 approximation; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; I.2.9 Robotics; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computations in finite
                 fields",
  descriptor =   "Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Mathematics and statistics; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Number-theoretic computations; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Rational
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Computing Methodologies, ARTIFICIAL
                 INTELLIGENCE, Robotics; Theory of Computation, ANALYSIS
                 OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
                 Algorithms and Problems, Computations in finite
                 fields",
  genterm =      "algorithms; theory",
  guideno =      "1988-16247",
  page =         "119--134",
  procdate =     "Sept. 1986",
  procloc =      "Cardiff, Wales",
  subject =      "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; F. Theory of Computation; F.2 ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; I. Computing
                 Methodologies; I.2 ARTIFICIAL INTELLIGENCE; F. Theory
                 of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY",
  waffil =       "Univ. College, Cardiff, Wales; Univ. College, Cardiff,
                 Wales",
}

@Article{Dunham:1988:PMA,
  author =       "Charles B. Dunham",
  title =        "Provably monotone approximations, {III}",
  journal =      j-SIGNUM,
  volume =       "23",
  number =       "1",
  pages =        "10--10",
  month =        jan,
  year =         "1988",
  CODEN =        "SNEWD6",
  DOI =          "http://doi.acm.org/10.1145/43931.43934",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  bibdate =      "Tue Apr 12 07:50:16 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "theory",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation",
}

@TechReport{Duprat:1988:EPE,
  author =       "J. Duprat and J. M. Muller",
  title =        "Evaluation of Polynomials and elementary Functions by
                 integrated Circuits",
  number =       "RR698-I",
  institution =  "IMAG",
  address =      "Grenoble, France",
  month =        jan,
  year =         "1988",
  bibdate =      "Mon Oct 24 11:37:20 2011",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/eureca.bib.gz;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duprat:1988:HPE,
  author =       "Jean Duprat and Jean-Michel Muller",
  title =        "Hardwired polynomial evaluation",
  journal =      j-J-PAR-DIST-COMP,
  volume =       "5",
  number =       "3",
  pages =        "291--309",
  month =        jun,
  year =         "1988",
  CODEN =        "JPDCER",
  ISSN =         "0743-7315 (print), 1096-0848 (electronic)",
  bibdate =      "Sat Apr 12 19:06:31 MDT 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "CNRS, Grenoble, Fr",
  classification = "721; 722; 723; 921; C4130 (Interpolation and
                 function approximation); C5230 (Digital arithmetic
                 methods)",
  corpsource =   "Inst. Nat. Polytech. de Grenoble, France",
  journalabr =   "J Parallel Distrib Comput",
  keywords =     "computer architecture; computers, digital ---
                 Circuits; digital arithmetic; elementary functions;
                 hardwired polynomial evaluation; mathematical
                 functions; mathematical techniques; Polynomials;
                 polynomials; special-purpose circuits; VLSI
                 implementation",
  treatment =    "P Practical",
}

@Article{Feng:1988:AIN,
  author =       "Y. Y. Feng and J. Kozak",
  title =        "An approach to the interpolation of nonuniformly
                 spaced data",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "23",
  number =       "2",
  pages =        "169--178",
  month =        aug,
  year =         "1988",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56475",
  catcode =      "G.1.1; G.1.2; G.1.7; G.1.1; G.1.4",
  CRclass =      "G.1.1 Interpolation; G.1.1 Spline and piecewise
                 polynomial interpolation; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.7 Ordinary
                 Differential Equations; G.1.7 Boundary value problems;
                 G.1.1 Interpolation; G.1.1 Smoothing; G.1.4 Quadrature
                 and Numerical Differentiation; G.1.4 Error analysis",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Spline and piecewise polynomial
                 interpolation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Ordinary Differential Equations, Boundary
                 value problems; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Interpolation, Smoothing; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
                 Differentiation, Error analysis",
  genterm =      "algorithms; theory",
  guideno =      "1988-10490",
  journalabbrev = "J. Comput. Appl. Math.",
  jrldate =      "August 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Gawronski:1988:ZLT,
  author =       "Wolfgang Gawronski and Ulrich Stadtm{\"u}ller",
  title =        "On the zeros of {Lerch}'s transcendental function of
                 real parameters",
  journal =      j-J-APPROX-THEORY,
  volume =       "53",
  number =       "3",
  pages =        "354--364",
  month =        jun,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Trier, Trier, FRG; Univ. of Ulm, Ulm, FRG",
  bibno =        "49727",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "verification; theory",
  guideno =      "1988-10146",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "June 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Guerrero:1988:HOT,
  author =       "Antonio L. Guerrero and Pablo Martin",
  title =        "Higher order two-point quasi-fractional approximations
                 to the {Bessel} functions {$J_0(x)$} and {$J_1(x)$}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "77",
  number =       "1",
  pages =        "276--281",
  month =        jul,
  year =         "1988",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(88)90168-4",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:41 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999188901684",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  remark =       "This work produces only 3D approximations.",
}

@Article{Hautot:1988:CAC,
  author =       "A. Hautot",
  title =        "Convergence acceleration of continued fractions of
                 {Poincar{\'e}} type",
  journal =      j-APPL-NUM-MATH,
  volume =       "4",
  number =       "2--4",
  pages =        "309--322",
  month =        jun,
  year =         "1988",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65B05 (40A15)",
  MRnumber =     "90b:65005",
  MRreviewer =   "Gh. Adam",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Heilmann:1988:SSM,
  author =       "Margareta Heilmann",
  title =        "{$L_p$}-saturation of some modified {Bernstein}
                 operators",
  journal =      j-J-APPROX-THEORY,
  volume =       "54",
  number =       "3",
  pages =        "260--273",
  month =        sep,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56880",
  catcode =      "G.1.2; G.1.9; G.1.7; G.1.7",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.9 Integral Equations; G.1.9
                 Integro-differential equations; G.1.7 Ordinary
                 Differential Equations; G.1.7 Boundary value problems;
                 G.1.7 Ordinary Differential Equations; G.1.7
                 Convergence and stability",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Integral
                 Equations, Integro-differential equations; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Ordinary Differential
                 Equations, Boundary value problems; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Ordinary Differential
                 Equations, Convergence and stability",
  genterm =      "algorithms; theory",
  guideno =      "1988-10163",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Sept. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Horwitz:1988:TPF,
  author =       "Alan L. Horwitz and Lee A. Rubel",
  title =        "Totally positive functions and totally bounded
                 functions on $[-1,1]$",
  journal =      j-J-APPROX-THEORY,
  volume =       "52",
  number =       "2",
  pages =        "204--216",
  month =        feb,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Pennsylvania State Univ., University Park; Univ. of
                 Illinois, Urbana",
  bibno =        "49653",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "verification; theory",
  guideno =      "1988-10106",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "February 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Jacobsen:1988:CAL,
  author =       "Lisa Jacobsen and Haakon Waadeland",
  title =        "Convergence acceleration of limit periodic continued
                 fractions under asymptotic side conditions",
  journal =      j-NUM-MATH,
  volume =       "53",
  number =       "3",
  pages =        "285--298",
  month =        jul,
  year =         "1988",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65B99 (30B70 40A15)",
  MRnumber =     "89h:65010",
  MRreviewer =   "Claude Brezinski",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290 (Numerical analysis); C4100 (Numerical
                 analysis)",
  corpsource =   "Dept. of Math. and Stat., Trondheim Univ., Dragvoll,
                 Norway",
  keywords =     "asymptotic side conditions; convergence acceleration;
                 convergence of numerical methods; hypergeometric
                 functions; limit periodic continued fractions; regular
                 C-fraction expansions",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Johnsson:1988:DPP,
  author =       "S. L. Johnsson",
  editor =       "J. R. Rice",
  booktitle =    "Mathematical aspects of scientific software",
  title =        "Data parallel programming and basic linear algebra
                 subroutines",
  volume =       "14",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "183--196",
  year =         "1988",
  ISBN =         "0-387-96706-0",
  ISBN-13 =      "978-0-387-96706-6",
  LCCN =         "QA76.76.D47 M366 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "The IMS volumes in mathematics and its applications",
  acknowledgement = ack-nhfb,
  bibno =        "42725",
  bookpages =    "vi + 208",
  catcode =      "G.1.2; D.1.m; G.4",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; D.1.m Miscellaneous",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Software, PROGRAMMING TECHNIQUES, Miscellaneous;
                 Mathematics of Computing, MATHEMATICAL SOFTWARE",
  genterm =      "theory; algorithms; design; languages",
  guideno =      "1988-02324",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 D. Software; D.1 PROGRAMMING TECHNIQUES; G. Mathematics
                 of Computing; G.4 MATHEMATICAL SOFTWARE",
  waffil =       "Purdue Univ., West Lafayette, IN",
}

@Article{Kowalski:1988:ASP,
  author =       "Marek Kowalski and Waldemar Sielski",
  title =        "Approximation of smooth periodic functions in several
                 variables",
  journal =      j-J-COMPLEXITY,
  volume =       "4",
  number =       "4",
  pages =        "356--372",
  month =        dec,
  year =         "1988",
  CODEN =        "JOCOEH",
  ISSN =         "0885-064X (print), 1090-2708 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56811",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "algorithms; verification; theory",
  guideno =      "1988-10411",
  journalabbrev = "J. Complexity",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Kramer:1988:ISF,
  author =       "W. Kramer",
  title =        "Inverse standard functions for real and complex point
                 and interval arguments with dynamic accuracy",
  journal =      j-COMPUTING-SUPPLEMENTUM,
  pages =        "185--212",
  year =         "1988",
  CODEN =        "COSPDM",
  ISSN =         "0344-8029",
  bibdate =      "Thu Dec 14 17:19:38 MST 1995",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Computer Arithmetic and Scientific Computation.",
  abstract =     "Algorithms to compute inverse standard functions to
                 arbitrary accuracy with safe error bounds are given.
                 Not only approximation errors but also all possible
                 rounding errors are considered. The desired accuracy of
                 the function as well as the base of the number system
                 used are parameters of the error formula. For
                 implementation it is only assumed that the four
                 elementary arithmetic operations are performed with a
                 certain number of correct digits of the function value.
                 The interval routines are constructed out of the point
                 routines considering the monotonicity behaviour of the
                 functions. The ambiguity of the complex functions is
                 briefly discussed.",
  acknowledgement = ack-nhfb,
  affiliation =  "Karlsruhe Univ., West Germany",
  classification = "B0290B (Error analysis in numerical methods); B0290F
                 (Interpolation and function approximation); C4110
                 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  confdate =     "30 Sept.-2 Oct. 1987",
  conflocation = "Karlsruhe, West Germany",
  confsponsor =  "Karlsruhe Univ.; GAMM Committee",
  issue =        "no.6 p. 185-212",
  keywords =     "Approximation errors; Dynamic accuracy; Error formula;
                 Interval arguments; Inverse standard functions;
                 Monotonicity behaviour; Rounding errors",
  language =     "English",
  pubcountry =   "Austria",
  thesaurus =    "Error analysis; Function approximation",
}

@Article{Lembarki:1988:CAL,
  author =       "Alami Lembarki",
  title =        "Convergence acceleration of limit $k$-periodic
                 continued fractions",
  journal =      j-APPL-NUM-MATH,
  volume =       "4",
  number =       "2--4",
  pages =        "337--349",
  month =        jun,
  year =         "1988",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65B05 (40A15)",
  MRnumber =     "89j:65012",
  MRreviewer =   "Thomas A. Atchison",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@InCollection{Levrie:1988:CAM,
  author =       "Paul Levrie and Robert Piessens",
  booktitle =    "{Nonlinear numerical methods and rational
                 approximation (Wilrijk, 1987)}",
  title =        "Convergence acceleration for {Miller}'s algorithm",
  volume =       "43",
  publisher =    "Reidel",
  address =      "Dordrecht, The Netherlands",
  pages =        "349--370",
  year =         "1988",
  MRclass =      "65B10 (26C15 39A10)",
  MRnumber =     "1005368 (90m:65012)",
  MRreviewer =   "Pierre Hillion",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Math. Appl.",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}

@Article{Lou:1988:ETR,
  author =       "Lou van den Dries",
  title =        "On the elementary theory of restricted elementary
                 functions",
  journal =      j-J-SYMBOLIC-LOGIC,
  volume =       "53",
  number =       "3",
  pages =        "796--808",
  year =         "1988",
  CODEN =        "JSYLA6",
  ISSN =         "0022-4812 (print), 1943-5886 (electronic)",
  MRclass =      "03C65 (03C40 03C68 12L12)",
  MRnumber =     "89i:03074",
  MRreviewer =   "M. Yasuhara",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Marsaglia:1988:CES,
  author =       "John Christopher Winston Marsaglia",
  title =        "Computer Evaluation of the special functions of
                 probability and statistics",
  type =         "{Ph.D.} Dissertation",
  school =       "Department of Computer Science, Washington State
                 University",
  address =      "Pullman, WA, USA",
  pages =        "vii + 79",
  month =        aug,
  year =         "1988",
  bibdate =      "Wed Jun 22 07:17:49 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "$\exp(x)$; $\Phi(x)$; Bernoulli numbers; chi-square
                 distribution; continued fraction; continuous Poisson
                 distribution; Erlang distribution; exponential
                 distribution; Gamma function; incomplete Gamma
                 function; normal distribution; normal probability
                 distribution; Poisson distribution; Stirling's
                 approximation",
}

@Article{Mimachi:1988:PRI,
  author =       "Katsuhisa Mimachi",
  title =        "A proof of {Ramanujan}'s identity by use of loop
                 integrals",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "19",
  number =       "6",
  pages =        "1490--1493",
  month =        nov,
  year =         "1988",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "58904",
  catcode =      "G.1.9; G.1.2; F.2.2",
  CRclass =      "G.1.9 Integral Equations; G.1.9 Integro-differential
                 equations; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Geometrical problems and
                 computations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Integral
                 Equations, Integro-differential equations; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations",
  genterm =      "algorithms; theory",
  guideno =      "1988-13744",
  journalabbrev = "SIAM J. Math. Anal.",
  jrldate =      "Nov. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY",
}

@Book{Nikiforov:1988:SFM,
  author =       "Arnol'd F. Nikiforov and Vasilij B. Uvarov",
  title =        "Special functions of mathematical physics: a unified
                 introduction with applications",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xviii + 427",
  year =         "1988",
  ISBN =         "3-7643-3183-6, 0-8176-3183-6",
  ISBN-13 =      "978-3-7643-3183-2, 978-0-8176-3183-3",
  LCCN =         "QC20.7.F87 N692e",
  bibdate =      "Sat Oct 30 18:34:41 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.gbv.de:20011/gvk",
  note =         "Translated from the Russian by Ralph P. Boas.",
  URL =          "http://www.gbv.de/dms/hbz/toc/ht002696178",
  acknowledgement = ack-nhfb,
}

@Article{Olver:1988:EBL,
  author =       "F. W. J. Olver",
  title =        "Error Bounds for Linear Recurrence Relations",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "182",
  pages =        "481--499",
  month =        apr,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65Q05 (39A10 65G05)",
  MRnumber =     "89e:65146",
  MRreviewer =   "B. Choczewski",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290B (Error analysis in numerical methods); C4110
                 (Error analysis in numerical methods)",
  corpsource =   "Maryland Univ., College Park, MD, USA",
  keywords =     "a posteriori methods; analysis; Bessel function;
                 bounds; computational complexity; difference equations;
                 error; homogeneous second order; Legendre function;
                 linear recurrence relations; monotonic systems;
                 numerical examples; O(r) arithmetic operations;
                 oscillatory systems; realistic error; relations;
                 rounded interval arithmetic",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Polyak:1988:SOM,
  author =       "R. A. Polyak",
  title =        "Smooth optimization methods for minimax problems",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "26",
  number =       "6",
  pages =        "1274--1286",
  month =        nov,
  year =         "1988",
  CODEN =        "SJCODC",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "57989",
  catcode =      "G.1.6; G.1.2; F.2.1; G.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Nonlinear programming; G.1.2
                 Approximation; G.1.2 Minimax approximation and
                 algorithms; F.2.1 Numerical Algorithms and Problems;
                 F.2.1 Computation of transforms; G.1.2 Approximation;
                 G.1.2 Elementary function approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Nonlinear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Minimax
                 approximation and algorithms; Theory of Computation,
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
                 Numerical Algorithms and Problems, Computation of
                 transforms; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13621",
  journalabbrev = "SIAM J. Control Optim.",
  jrldate =      "Nov. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}

@InCollection{Powell:1988:RBF,
  author =       "J. D. Powell",
  editor =       "D. F. (David Francis) Griffiths and G. A. Watson",
  booktitle =    "Numerical analysis 1987",
  title =        "Radial basis function approximations to polynomials",
  volume =       "170",
  publisher =    "Longman, Inc.",
  address =      "New York, NY, USA",
  pages =        "223--241",
  year =         "1988",
  ISBN =         "0-582-02157-X",
  ISBN-13 =      "978-0-582-02157-0",
  LCCN =         "QA297.N828 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$54.95",
  series =       "Pitman research notes in mathematics series",
  acknowledgement = ack-nhfb,
  bibno =        "54996",
  bookpages =    "300",
  catcode =      "G.1.2; G.1.2; G.1.9; G.1.1; G.3; G.1.7",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Spline and
                 piecewise polynomial approximation; G.1.9 Integral
                 Equations; G.1.9 Integro-differential equations; G.1.1
                 Interpolation; G.1.1 Spline and piecewise polynomial
                 interpolation; G.3 Statistical computing; G.1.7
                 Ordinary Differential Equations; G.1.7 Convergence and
                 stability",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Spline and piecewise polynomial
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Integral Equations, Integro-differential
                 equations; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Interpolation, Spline and piecewise
                 polynomial interpolation; Mathematics of Computing,
                 PROBABILITY AND STATISTICS, Statistical computing;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Convergence and stability",
  genterm =      "algorithms; performance",
  guideno =      "1988-01246",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G.3 PROBABILITY AND STATISTICS",
  waffil =       "Univ. of Dundee; Univ. of Dundee",
}

@Article{Proinov:1988:ISF,
  author =       "Petko D. Proinov",
  title =        "Integration of smooth functions and
                 $\phi$-discrepancy",
  journal =      j-J-APPROX-THEORY,
  volume =       "52",
  number =       "3",
  pages =        "284--292",
  month =        mar,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Plovdiv, Plovdiv, Bulgaria",
  bibno =        "49659",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "verification; theory",
  guideno =      "1988-10111",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "March 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Puoskari:1988:MCB,
  author =       "M. Puoskari",
  title =        "A method for computing {Bessel} function integrals",
  journal =      j-J-COMPUT-PHYS,
  volume =       "75",
  number =       "2",
  pages =        "334--344",
  month =        apr,
  year =         "1988",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(88)90116-7",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:40 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999188901167",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@Article{Richardson:1988:NMT,
  author =       "Daniel Richardson",
  title =        "Nonstandard models of the theory of elementary
                 functions of a real variable",
  journal =      j-Z-MATH-LOGIK-GRUNDL-MATH,
  volume =       "34",
  number =       "4",
  pages =        "355--372",
  year =         "1988",
  CODEN =        "ZMLGAQ",
  ISBN =         "0044-3050",
  ISBN-13 =      "0044-3050",
  ISSN =         "0044-3050",
  MRclass =      "03B30 (03C62 03H15 26E35)",
  MRnumber =     "90a:03009",
  MRreviewer =   "Reuven H. Gurevi{\v{c}}",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ruscheweyh:1988:EST,
  author =       "Stephan Ruscheweyh",
  title =        "Extension of {Szeg{\H{o}}}'s theorem on the sections
                 of univalent functions",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "19",
  number =       "6",
  pages =        "1442--1449",
  month =        nov,
  year =         "1988",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "58899",
  catcode =      "G.1.2; G.1.9; F.2.2; F.2.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.9 Integral Equations; G.1.9
                 Integro-differential equations; F.2.2 Nonnumerical
                 Algorithms and Problems; F.2.2 Computations on discrete
                 structures; F.2.2 Nonnumerical Algorithms and Problems;
                 F.2.2 Geometrical problems and computations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Integral
                 Equations, Integro-differential equations; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Computations on discrete structures; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations",
  genterm =      "algorithms; theory",
  guideno =      "1988-13739",
  journalabbrev = "SIAM J. Math. Anal.",
  jrldate =      "Nov. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
}

@InProceedings{Schwarz:1988:CLI,
  author =       "Jerry Schwarz",
  title =        "A {C++} Library for Infinite Precision Floating
                 Point",
  crossref =     "USENIX:1988:UPC",
  pages =        "271--281",
  year =         "1988",
  bibdate =      "Tue Dec 12 09:20:21 MST 1995",
  bibsource =    "ftp://ftp.uu.net/library/bibliography;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "The Real library supports infinite precision floating
                 point computation in C++. Arbitrary precision rational
                 arithmetic and transcendental functions are
                 supported.",
  acknowledgement = ack-nhfb,
  affiliation =  "AT\&T Bell Laboratories, Murray Hill",
  bookpages =    "362",
  classification = "C5230 (Digital arithmetic methods); C6130 (Data
                 handling techniques)",
  confdate =     "17--21 Oct. 1988",
  conflocation = "Denver, CO, USA",
  keywords =     "C++ library; Infinite precision floating point;
                 Rational arithmetic; Real library; Transcendental
                 functions",
  language =     "English",
  pubcountry =   "USA",
  thesaurus =    "C language; Digital arithmetic; Object-oriented
                 programming; Subroutines",
}

@InProceedings{Sobczyk:1988:SMA,
  author =       "Kazimierz Sobczyk",
  editor =       "W. Schiehlen and W. Wedig",
  booktitle =    "Analysis and estimation of stochastic mechanical
                 systems",
  title =        "Stochastic modelling and analysis of fatigue",
  volume =       "303",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "269--313",
  year =         "1988",
  ISBN =         "0-387-82058-2",
  ISBN-13 =      "978-0-387-82058-3",
  LCCN =         "TA350.3.I5 no.303; TJ173 .A531 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Courses and lectures",
  acknowledgement = ack-nhfb,
  bibno =        "58064",
  bookpages =    "350",
  catcode =      "J.2; I.6.3; G.1.8; G.3; G.1.2; G.1.9",
  CRclass =      "J.2 Engineering; I.6.3 Applications; G.1.8 Partial
                 Differential Equations; G.1.8 Difference methods; G.3
                 Probabilistic algorithms (including Monte Carlo); G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.9 Integral Equations; G.1.9 Integro-differential
                 equations",
  descriptor =   "Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Engineering; Computing Methodologies,
                 SIMULATION AND MODELING, Applications; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Partial Differential
                 Equations, Difference methods; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Probabilistic
                 algorithms (including Monte Carlo); Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Integral Equations,
                 Integro-differential equations",
  genterm =      "algorithms; theory; design; measurement; reliability",
  guideno =      "1988-17476",
  procdate =     "1987",
  procloc =      "International Centre for Mechanical Sciences in
                 Udine",
  subject =      "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; I. Computing Methodologies; I.6 SIMULATION
                 AND MODELING; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.3
                 PROBABILITY AND STATISTICS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS",
  waffil =       "Univ. of Stuttgart; Univ. of Karlsruhe",
}

@Article{Stephens:1988:SCR,
  author =       "A. J. Stephens and H. C. Williams",
  title =        "Some computational results on a problem concerning
                 powerful numbers",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "182",
  pages =        "619--632",
  month =        apr,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "11R11 (11A51 11R27 11Y16 11Y40)",
  MRnumber =     "89d:11091",
  MRreviewer =   "H. J. Godwin",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0210 (Algebra); B0250 (Combinatorial mathematics);
                 C1110 (Algebra); C1160 (Combinatorial mathematics)",
  corpsource =   "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man.,
                 Canada",
  keywords =     "computational complexity; continued; fractions; free
                 integer; fundamental unit; number theory; positive
                 square-; real quadratic number fields; regulator
                 algorithm Amdahl 5850; step algorithm; time complexity
                 $O(D^{1/4+\epsilon})$",
  treatment =    "T Theoretical or Mathematical; X Experimental",
}

@InProceedings{Stillinger:1988:CPS,
  author =       "Frank H. Stillinger",
  editor =       "Donald G. Truhlar",
  booktitle =    "Mathematical frontiers in computational chemical
                 physics",
  title =        "Collective phenomena in statistical mechanics and the
                 geometry of potential energy hypersurfaces",
  volume =       "15",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "157--173",
  year =         "1988",
  ISBN =         "0-387-96782-6",
  ISBN-13 =      "978-0-387-96782-0",
  LCCN =         "QD455.3.M3 M38 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Proceedings of the Workshop on Atomic and Molecular
                 Structure and Dynamics, held June 15--July 24, 1987, at
                 the Institute for Mathematics and Its Applications,
                 University of Minnesota.",
  price =        "US\$36.80",
  series =       "The IMA volumes in mathematics and its applications",
  acknowledgement = ack-nhfb,
  bibno =        "58051",
  bookpages =    "xii + 349",
  catcode =      "J.2; J.2; J.2; F.2.2; G.3; G.1.2",
  CRclass =      "J.2 Physics; J.2 Chemistry; J.2 Engineering; F.2.2
                 Nonnumerical Algorithms and Problems; F.2.2 Geometrical
                 problems and computations; G.3 Statistical computing;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Physics; Computer Applications, PHYSICAL
                 SCIENCES AND ENGINEERING, Chemistry; Computer
                 Applications, PHYSICAL SCIENCES AND ENGINEERING,
                 Engineering; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Geometrical problems and
                 computations; Mathematics of Computing, PROBABILITY AND
                 STATISTICS, Statistical computing; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  genterm =      "algorithms; theory",
  guideno =      "1988-17776",
  procdate =     "1982",
  procloc =      "Univ. of Minnesota, Minneapolis",
  subject =      "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; J. Computer Applications; J.2 PHYSICAL
                 SCIENCES AND ENGINEERING; J. Computer Applications; J.2
                 PHYSICAL SCIENCES AND ENGINEERING; F. Theory of
                 Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY; G. Mathematics of Computing; G.3
                 PROBABILITY AND STATISTICS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS",
  waffil =       "Univ. of Minnesota, Minneapolis",
}

@Article{Sun:1988:SAF,
  author =       "Xiehua Sun",
  title =        "On the simultaneous approximation of functions and
                 their derivatives by the {Szasz--Mirakyan} operator",
  journal =      j-J-APPROX-THEORY,
  volume =       "55",
  number =       "3",
  pages =        "279--288",
  month =        dec,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56048",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "verification; theory",
  guideno =      "1988-10194",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@TechReport{Tang:1988:PIG,
  author =       "Ping Tak Peter Tang",
  title =        "Portable Implementation of a Generic Exponential
                 Function",
  type =         "Technical report",
  number =       "ANL-88-3",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  year =         "1988",
  bibdate =      "Fri Dec 28 11:27:51 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Book{vanRijckevorsek:1988:CCA,
  editor =       "Jan L. A. van Rijckevorsek and Jan de Leeus",
  title =        "Component and correspondence analysis: dimension
                 reduction by functional approximation",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xiii + 146",
  year =         "1988",
  ISBN =         "0-471-91847-4",
  ISBN-13 =      "978-0-471-91847-9",
  LCCN =         "QA278.5 .C6571 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$40",
  series =       "Wiley series in probability and mathematical
                 statistics",
  acknowledgement = ack-nhfb,
  bibno =        "59092",
  catcode =      "G.1.2; G.3",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.3 Statistical computing",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing",
  genterm =      "theory; algorithms",
  guideno =      "1988-03042",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS",
}

@Book{Vilenkin:1988:SFT,
  author =       "N. Ja. (Naum Jakovlevich) Vilenkin",
  title =        "Special functions and the theory of group
                 representations",
  volume =       "22",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "x + 613",
  year =         "1988",
  ISBN =         "0-8218-1572-5",
  ISBN-13 =      "978-0-8218-1572-4",
  LCCN =         "QA3 .A5 v.22 1988",
  bibdate =      "Sat Oct 30 17:01:56 MDT 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  note =         "Reprint of 1968 edition.",
  series =       "Translations of mathematical monographs",
  acknowledgement = ack-nhfb,
  subject =      "Representations of groups; Functions, Special",
}

@Article{Wong:1988:AE,
  author =       "R. Wong",
  title =        "Asymptotic Expansion of $\int^{\pi/2}_0
                 {J}^2_\nu(\lambda \cos \theta) d\theta$",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "181",
  pages =        "229--234",
  month =        jan,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "41A60 (33A40)",
  MRnumber =     "89g:41022",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "A0260 (Numerical approximation and analysis); A0270
                 (Computational techniques); C4130 (Interpolation and
                 function approximation); C4160 (Numerical integration
                 and differentiation)",
  corpsource =   "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man.,
                 Canada",
  keywords =     "asymptotic expansion; Bessel function; Bessel
                 functions; crystallography; diffraction theory;
                 function approximation; integral; integration",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Ahmed:1989:EEF,
  author =       "H. M. Ahmed",
  title =        "Efficient Elementary Function Generation with
                 Multipliers",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "52--59",
  year =         "1989",
  bibdate =      "Sat Nov 27 14:19:10 MST 2004",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb # " and " # ack-nj,
}

@Article{Armbruster:1989:KSD,
  author =       "Dieter Armbruster and John Guckenheimer and Philip
                 Holmes",
  title =        "{Kuramoto--Sivashinsky} dynamics on the
                 center-unstable manifold",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "676--691",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Cornell Univ., Ithaca, NY; Cornell Univ., Ithaca, NY;
                 Cornell Univ., Ithaca, NY",
  bibno =        "64938",
  catcode =      "G.1.7; G.1.7; G.1.0; J.2; G.1.2; G.1.8",
  CRclass =      "G.1.7 Ordinary Differential Equations; G.1.7
                 Convergence and stability; G.1.7 Ordinary Differential
                 Equations; G.1.7 Boundary value problems; G.1.0
                 General; G.1.0 Numerical algorithms; J.2 Physics; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.8 Partial Differential Equations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Convergence and stability;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Boundary value problems;
                 Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms; Computer Applications, PHYSICAL
                 SCIENCES AND ENGINEERING, Physics; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Partial Differential
                 Equations",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09707",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; J.
                 Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}

@Article{Avellaneda:1989:OBE,
  author =       "Marco Avellaneda and Graeme W. Milton",
  title =        "Optimal bounds on the effective bulk modulus of
                 polycrystals",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "824--837",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64947",
  catcode =      "G.1.8; J.2; G.1.2; G.1.6",
  CRclass =      "G.1.8 Partial Differential Equations; G.1.8 Difference
                 methods; J.2 Physics; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.6 Optimization;
                 G.1.6 Constrained optimization",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
                 Differential Equations, Difference methods; Computer
                 Applications, PHYSICAL SCIENCES AND ENGINEERING,
                 Physics; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Constrained optimization",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09716",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}

@Article{Belaga:1989:TMM,
  author =       "E. G. Belaga",
  title =        "Through the mincing machine with a {Boolean} layer
                 cake: nonstandard computations over {Boolean} circuits
                 in the lower-bounds-to-circuit-size complexity
                 proving",
  journal =      j-ACTA-INFO,
  volume =       "26",
  number =       "4",
  pages =        "381--407",
  month =        feb,
  year =         "1989",
  CODEN =        "AINFA2",
  ISSN =         "0001-5903 (print), 1432-0525 (electronic)",
  ISSN-L =       "0001-5903",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. Louis Pasteur, Strasbourg Cedex, France and
                 Univ. su Pisa, Pisa, Italy",
  bibno =        "69310",
  catcode =      "F.4.1; B.6.1; F.1.1; F.1.3; F.2.2; F.1.2; G.1.2;
                 F.2.2",
  CRclass =      "F.4.1 Mathematical Logic; F.4.1 Computational logic;
                 B.6.1 Design Styles; B.6.1 Combinational logic; F.1.1
                 Models of Computation; F.1.1 Unbounded-action devices;
                 F.1.3 Complexity Classes; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Complexity of proof procedures;
                 F.1.2 Modes of Computation; F.1.2 Alternation and
                 nondeterminism; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Computations on discrete
                 structures",
  descriptor =   "Theory of Computation, MATHEMATICAL LOGIC AND FORMAL
                 LANGUAGES, Mathematical Logic, Computational logic;
                 Hardware, LOGIC DESIGN, Design Styles, Combinational
                 logic; Theory of Computation, COMPUTATION BY ABSTRACT
                 DEVICES, Models of Computation, Unbounded-action
                 devices; Theory of Computation, COMPUTATION BY ABSTRACT
                 DEVICES, Complexity Classes; Theory of Computation,
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
                 Nonnumerical Algorithms and Problems, Complexity of
                 proof procedures; Theory of Computation, COMPUTATION BY
                 ABSTRACT DEVICES, Modes of Computation, Alternation and
                 nondeterminism; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Computations on discrete
                 structures",
  genterm =      "algorithms; theory",
  guideno =      "1989-03239",
  journalabbrev = "Acta Inf.",
  jrldate =      "Feb. 1989",
  subject =      "F. Theory of Computation; F.4 MATHEMATICAL LOGIC AND
                 FORMAL LANGUAGES; B. Hardware; B.6 LOGIC DESIGN; F.
                 Theory of Computation; F.1 COMPUTATION BY ABSTRACT
                 DEVICES; F. Theory of Computation; F.1 COMPUTATION BY
                 ABSTRACT DEVICES; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F.
                 Theory of Computation; F.1 COMPUTATION BY ABSTRACT
                 DEVICES; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY",
}

@Article{Birge:1989:SUB,
  author =       "John R. Birge and Roger J. Wets",
  title =        "Sublinear upper bounds for stochastic programs with
                 recourse",
  journal =      j-MATH-PROG,
  volume =       "43",
  number =       "2",
  pages =        "131--149",
  month =        feb,
  year =         "1989",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Michigan, Ann Arbor; Univ. of California,
                 Davis",
  bibno =        "65226",
  catcode =      "G.1.6; G.1.7; G.3; G.1.6; G.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; G.1.7
                 Ordinary Differential Equations; G.1.7 Convergence and
                 stability; G.3 Probabilistic algorithms (including
                 Monte Carlo); G.1.6 Optimization; G.1.6 Gradient
                 methods; G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Ordinary Differential
                 Equations, Convergence and stability; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Probabilistic
                 algorithms (including Monte Carlo); Mathematics of
                 Computing, NUMERICAL ANALYSIS, Optimization, Gradient
                 methods; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "algorithms; theory; performance",
  guideno =      "1989-09042",
  journalabbrev = "Math. Program.",
  jrldate =      "February 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}

@Article{Borwein:1989:RME,
  author =       "J. M. Borwein and P. B. Borwein and D. H. Bailey",
  title =        "{Ramanujan}, modular equations, and approximations to
                 $\pi$ or how to compute one billion digits of $\pi$",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "3",
  pages =        "201--219",
  month =        mar,
  year =         "1989",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dalhousie Univ., Halifax; Dalhousie Univ., Halifax",
  bibno =        "65243",
  catcode =      "I.1.2; G.1.2; G.1.8; G.1.4; I.1.3; F.2.1; F.2.1",
  CRclass =      "I.1.2 Algorithms; I.1.2 Algebraic algorithms; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.8 Partial Differential Equations; G.1.8 Elliptic
                 equations; G.1.4 Quadrature and Numerical
                 Differentiation; G.1.4 Multiple quadrature; I.1.3
                 Languages and Systems; F.2.1 Numerical Algorithms and
                 Problems; F.2.1 Computation of transforms; F.2.1
                 Numerical Algorithms and Problems; F.2.1
                 Number-theoretic computations",
  descriptor =   "Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Algorithms, Algebraic algorithms; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Partial Differential
                 Equations, Elliptic equations; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
                 Differentiation, Multiple quadrature; Computing
                 Methodologies, ALGEBRAIC MANIPULATION, Languages and
                 Systems; Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computation of transforms; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Number-theoretic computations",
  genterm =      "algorithms; theory",
  guideno =      "1989-03459",
  journalabbrev = "Am. Math. Monthly",
  jrldate =      "March 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION",
}

@Article{Bos:1989:CPR,
  author =       "L. Bos",
  title =        "A characteristic of points in {$R^2$} having
                 {Lebesgue} function of polynomial growth",
  journal =      j-J-APPROX-THEORY,
  volume =       "56",
  number =       "3",
  pages =        "316--329",
  month =        mar,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72254",
  catcode =      "F.2.1; G.1.1; G.1.2; F.2.2; G.1.2; G.1.3",
  CRclass =      "F.2.1 Numerical Algorithms and Problems; F.2.1
                 Computations on matrices; G.1.1 Interpolation; G.1.1
                 Interpolation formulas; G.1.2 Approximation; G.1.2
                 Elementary function approximation; F.2.2 Nonnumerical
                 Algorithms and Problems; F.2.2 Geometrical problems and
                 computations; G.1.2 Approximation; G.1.2 Chebyshev
                 approximation and theory; G.1.3 Numerical Linear
                 Algebra; G.1.3 Sparse and very large systems",
  descriptor =   "Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Interpolation, Interpolation
                 formulas; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Geometrical problems and computations;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Chebyshev approximation and theory;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra, Sparse and very large systems",
  genterm =      "algorithms; theory",
  guideno =      "1989-07812",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Mar. 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Bronstein:1989:AIE,
  author =       "Manuel Bronstein",
  title =        "An algorithm for the integration of elementary
                 functions",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "378",
  pages =        "491--497",
  year =         "1989",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  MRclass =      "65D30",
  MRnumber =     "91a:65050",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "EUROCAL '87 (Leipzig, 1987).",
  acknowledgement = ack-nhfb,
}

@InProceedings{Bronstein:1989:SRE,
  author =       "M. Bronstein",
  title =        "Simplification of real elementary functions",
  crossref =     "ACM:1989:PAI",
  pages =        "207--211",
  year =         "1989",
  bibdate =      "Tue Sep 17 06:46:18 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/issac.bib",
  abstract =     "The author describes an algorithm, based on Risch's
                 real structure theorem, that determines explicitly all
                 the algebraic relations among a given set of real
                 elementary functions. He provides examples from its
                 implementation in the Scratchpad computer algebra
                 system that illustrate the advantages over the use of
                 complex logarithms and exponentials.",
  acknowledgement = ack-nhfb,
  affiliation =  "IBM Res. Div., T. J. Watson Res. Center, Yorktown
                 Heights, NY, USA",
  classification = "C1110 (Algebra); C7310 (Mathematics)",
  keywords =     "Computer algebra system; Real elementary functions;
                 Real structure theorem; Scratchpad",
  language =     "English",
  thesaurus =    "Functions; Mathematics computing; Symbol
                 manipulation",
}

@Article{Cao:1989:ABS,
  author =       "J.-D. Cao and H. H. Gonska",
  title =        "Approximation by {Boolean} sums of positive linear
                 operators. {II}. {Gopengauz}-type estimates",
  journal =      j-J-APPROX-THEORY,
  volume =       "57",
  number =       "1",
  pages =        "77--89",
  month =        apr,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72266",
  catcode =      "G.1.2; G.1.2; G.3; G.2.1",
  CRclass =      "G.1.2 Approximation; G.1.2 Nonlinear approximation;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.3 Statistical computing; G.2.1
                 Combinatorics; G.2.1 Generating functions",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Nonlinear approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Statistical
                 computing; Mathematics of Computing, DISCRETE
                 MATHEMATICS, Combinatorics, Generating functions",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-07823",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "April 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.2 DISCRETE
                 MATHEMATICS",
}

@Article{Carlson:1989:TEI,
  author =       "B. C. Carlson",
  title =        "A Table of Elliptic Integrals: Cubic Cases",
  journal =      j-MATH-COMPUT,
  volume =       "53",
  number =       "187",
  pages =        "327--333",
  month =        jul,
  year =         "1989",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65A05 (33A25 65D20)",
  MRnumber =     "89m:65009",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4180 (Integral equations); C1120 (Analysis)",
  corpsource =   "Dept. of Math., Iowa State Univ., Ames, IA, USA",
  keywords =     "cubic polynomial; elliptic; elliptic integral; first
                 kind; Fortran codes; functions; integral equations;
                 integrals; integration interval; R-; rational
                 integrands; real zeros; second kind; square root;
                 table; third kind",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Chen:1989:EMB,
  author =       "X. R. Chen and P. R. Krishnaiah and W. W. Liang",
  title =        "Estimation of multivariate binary density using
                 orthogonal functions",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "31",
  number =       "2",
  pages =        "178--186",
  month =        nov,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Pittsburgh, Pittsburgh, PA; Univ. of
                 Pittsburgh, Pittsburgh, PA; Univ. of Pittsburgh,
                 Pittsburgh, PA",
  bibno =        "69313",
  catcode =      "D.3.3; G.3; G.1.3; G.1.2",
  CRclass =      "D.3.3 Language Constructs; D.3.3 Procedures,
                 functions, and subroutines; G.3 Statistical computing;
                 G.1.3 Numerical Linear Algebra; G.1.3 Linear systems
                 (direct and iterative methods); G.1.2 Approximation;
                 G.1.2 Elementary function approximation",
  descriptor =   "Software, PROGRAMMING LANGUAGES, Language Constructs,
                 Procedures, functions, and subroutines; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Statistical
                 computing; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Linear systems
                 (direct and iterative methods); Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  genterm =      "algorithms; theory; verification",
  guideno =      "1989-08483",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "Nov. 1989",
  subject =      "D. Software; D.3 PROGRAMMING LANGUAGES; G. Mathematics
                 of Computing; G.3 PROBABILITY AND STATISTICS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Chen:1989:FCR,
  author =       "S.-G. Chen and P. Y. Hsieh",
  title =        "Fast computation of the ${N}$th root",
  journal =      j-COMP-MATH-APPL,
  volume =       "17",
  number =       "10",
  pages =        "1423--1427",
  month =        "????",
  year =         "1989",
  CODEN =        "CMAPDK",
  DOI =          "http://dx.doi.org/10.1016/0898-1221(89)90024-2",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Thu Dec 29 08:01:37 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122189900242",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  remark =       "From the abstract: ``A new class of iterative methods
                 for computing a differentiable function is proposed,
                 which is based on Pad{\'e} approximation to Taylor's
                 series of the function. It leads to a faster algorithm
                 than Newton's method for $x^{1/N}$ and a different
                 interpretation of Newton's method.''",
}

@Article{Corliss:1989:IIV,
  author =       "George Corliss and Gary Krenz",
  editor =       "L. Gatteschi",
  title =        "Indefinite Integration with Validation",
  journal =      j-TOMS,
  volume =       "15",
  number =       "4",
  pages =        "375--393",
  month =        dec,
  year =         "1989",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65D30 (65-04)",
  MRnumber =     "1 062 497",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p375-corliss/;
                 http://www.acm.org/pubs/toc/Abstracts/toms/76915.html",
  acknowledgement = ack-nhfb,
  bibno =        "393",
  content =      "ALGORITHMS; THEORY",
  CRclass =      "G.1.4 Quadrature and Numerical Differentiation; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.2 Approximation; G.1.2 Chebyshev approximation and
                 theory",
  CRnumber =     "1989-03199",
  descriptor =   "mathematics of computing, numerical analysis,
                 quadrature and numerical differentiation; mathematics
                 of computing, numerical analysis, approximation,
                 elementary function approximation; mathematics of
                 computing, numerical analysis, approximation, Chebyshev
                 approximation and theory",
  fortitle =     "ACM Trans. Math. Softw.",
  guideno =      "4",
  keywords =     "algorithms; theory",
  review =       "ACM CR 9007-0598",
  subject =      "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Quadrature and Numerical Differentiation.
                 {\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation. {\bf G.1.2}: Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Chebyshev
                 approximation and theory.",
  waffil =       "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Critchfield:1989:CEF,
  author =       "Charles L. Critchfield",
  title =        "Computation of elliptic functions",
  journal =      j-J-MATH-PHYS,
  volume =       "30",
  number =       "2",
  pages =        "295--297",
  month =        feb,
  year =         "1989",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.528444",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "33A25 (65D20)",
  MRnumber =     "89k:33004",
  MRreviewer =   "H. Hochstadt",
  bibdate =      "Mon Oct 31 11:58:32 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v30/i2/p295_s1",
  acknowledgement = ack-nhfb,
  pagecount =    "3",
}

@Misc{Darley:1989:FPI,
  author =       "H. M. Darley and others",
  title =        "Floating Point\slash Integer Processor with Divide and
                 Square Root Functions",
  year =         "1989",
  bibdate =      "Thu Apr 2 08:38:35 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "U.S. Patent No. 4,878,190.",
  acknowledgement = ack-sfo # " and " # ack-nhfb,
}

@Article{Dehling:1989:FLI,
  author =       "Herold Dehling",
  title =        "The functional law of the iterated logarithm for {von
                 Mises} functionals and multiple {Wiener} integrals",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "28",
  number =       "2",
  pages =        "177--189",
  month =        feb,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of G{\"o}ttingen, G{\"o}ttingen, FRG",
  bibno =        "64336",
  catcode =      "G.3; G.1.9; G.1.2",
  CRclass =      "G.3 Statistical computing; G.1.9 Integral Equations;
                 G.1.9 Integro-differential equations; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Integral Equations,
                 Integro-differential equations; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-08462",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "February 1989",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}

@Article{Demirbas:1989:MSE,
  author =       "K. Demirbas",
  title =        "Multidimensional state estimation using stacks for
                 dynamic systems with interference",
  journal =      j-AUTOMATICA,
  volume =       "25",
  number =       "4",
  pages =        "617--621",
  month =        jul,
  year =         "1989",
  CODEN =        "ATCAA9",
  ISSN =         "0005-1098",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72661",
  catcode =      "G.1.2; G.1.2; G.1.3; G.1.5; H.1.1",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Linear
                 approximation; G.1.3 Numerical Linear Algebra; G.1.3
                 Linear systems (direct and iterative methods); G.1.5
                 Roots of Nonlinear Equations; H.1.1 Systems and
                 Information Theory; H.1.1 Information theory",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Linear approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Numerical Linear
                 Algebra, Linear systems (direct and iterative methods);
                 Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
                 Nonlinear Equations; Information Systems, MODELS AND
                 PRINCIPLES, Systems and Information Theory, Information
                 theory",
  genterm =      "algorithms; theory",
  guideno =      "1989-03952",
  jrldate =      "July 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; H.
                 Information Systems; H.1 MODELS AND PRINCIPLES",
}

@TechReport{Dritz:1989:RPS,
  author =       "K. W. Dritz",
  title =        "Rationale for the Proposed Standard for a Generic
                 Package of Elementary Functions for {Ada}",
  type =         "Report",
  number =       "ANL-89/2 Rev. 1",
  institution =  "Argonne National Laboratory, Mathematics and Computer
                 Science Division",
  address =      "Argonne, IL, USA",
  pages =        "????",
  month =        oct,
  year =         "1989",
  bibdate =      "Thu Sep 01 12:08:24 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@InProceedings{Duprat:1989:SRA,
  author =       "J. Duprat and Y. Herreros and J.-M. Muller",
  title =        "Some results about on-line computation of functions",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "112--118",
  year =         "1989",
  bibdate =      "Sat Nov 27 14:19:10 MST 2004",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Dyn:1989:PEB,
  author =       "N. Dyn and A. Ron",
  title =        "Periodic exponential box splines on a three direction
                 mesh",
  journal =      j-J-APPROX-THEORY,
  volume =       "56",
  number =       "3",
  pages =        "287--296",
  month =        mar,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72251",
  catcode =      "G.1.2; F.2.2; G.1.2; G.1.2; G.1.2; G.2.1; G.3",
  CRclass =      "G.1.2 Approximation; G.1.2 Spline and piecewise
                 polynomial approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Geometrical problems and
                 computations; G.1.2 Approximation; G.1.2 Chebyshev
                 approximation and theory; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.2 Approximation;
                 G.1.2 Linear approximation; G.2.1 Combinatorics; G.2.1
                 Recurrences and difference equations; G.3 Statistical
                 computing",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Spline and piecewise polynomial
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Geometrical problems and
                 computations; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Chebyshev approximation and
                 theory; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Linear approximation; Mathematics of
                 Computing, DISCRETE MATHEMATICS, Combinatorics,
                 Recurrences and difference equations; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Statistical
                 computing",
  genterm =      "algorithms; theory; design",
  guideno =      "1989-07809",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Mar. 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; G.2 DISCRETE MATHEMATICS; G.3
                 PROBABILITY AND STATISTICS",
}

@Article{Eberlein:1989:SAC,
  author =       "E. Eberlein",
  title =        "Strong approximation of continuous time stochastic
                 processes",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "31",
  number =       "2",
  pages =        "220--235",
  month =        nov,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. Freiburg, Freiburg, W. Germany",
  bibno =        "69316",
  catcode =      "D.4.8; F.1.2; G.1.2",
  CRclass =      "D.4.8 Performance; D.4.8 Stochastic analysis; F.1.2
                 Modes of Computation; F.1.2 Probabilistic computation;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Software, OPERATING SYSTEMS, Performance, Stochastic
                 analysis; Theory of Computation, COMPUTATION BY
                 ABSTRACT DEVICES, Modes of Computation, Probabilistic
                 computation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; performance; theory",
  guideno =      "1989-08486",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "Nov. 1989",
  subject =      "D. Software; D.4 OPERATING SYSTEMS; F. Theory of
                 Computation; F.1 COMPUTATION BY ABSTRACT DEVICES; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Egger:1989:PAC,
  author =       "A. Egger and R. Huotari",
  title =        "The {Polya} algorithm on convex sets",
  journal =      j-J-APPROX-THEORY,
  volume =       "56",
  number =       "2",
  pages =        "212--216",
  month =        feb,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72242",
  catcode =      "F.2.2; F.2.2; G.1.2; G.1.2; G.1.5",
  CRclass =      "F.2.2 Nonnumerical Algorithms and Problems; F.2.2
                 Geometrical problems and computations; F.2.2
                 Nonnumerical Algorithms and Problems; F.2.2
                 Computations on discrete structures; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.2 Approximation; G.1.2 Minimax approximation and
                 algorithms; G.1.5 Roots of Nonlinear Equations; G.1.5
                 Convergence",
  descriptor =   "Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Geometrical problems and computations; Theory
                 of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Computations on discrete structures; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Minimax
                 approximation and algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Roots of Nonlinear Equations,
                 Convergence",
  genterm =      "algorithms; theory",
  guideno =      "1989-07801",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Feb. 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS",
}

@Article{Ehrenmark:1989:ONF,
  author =       "Ulf T. Ehrenmark",
  title =        "Overconvergence of the near-field expansion for
                 linearized waves normally incident on a sloping beach",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "799--815",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64945",
  catcode =      "G.1.7; G.1.2; F.2.1; G.1.2; F.2.2",
  CRclass =      "G.1.7 Ordinary Differential Equations; G.1.7
                 Convergence and stability; G.1.2 Approximation; G.1.2
                 Minimax approximation and algorithms; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computation of
                 transforms; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Geometrical problems and
                 computations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Convergence and stability;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Minimax approximation and algorithms;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computation of transforms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Geometrical problems and
                 computations",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09714",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
}

@Article{Einmahl:1989:ERK,
  author =       "U. Einmahl",
  title =        "Extensions of results of {Komlos}, {Major}, and
                 {Tusnady} to the multivariate case",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "28",
  number =       "1",
  pages =        "20--68",
  month =        jan,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. zu Koln, West Germany",
  bibno =        "66700",
  catcode =      "G.3; G.1.2; F.2.1",
  CRclass =      "G.3 Statistical computing; G.1.2 Approximation; G.1.2
                 Elementary function approximation; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computation of
                 transforms",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
                 and Problems, Computation of transforms",
  genterm =      "algorithms; theory",
  guideno =      "1989-08456",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "Jan. 1989",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY",
}

@Article{Epperson:1989:UIM,
  author =       "J. F. Epperson",
  title =        "On the use of iteration methods for approximating the
                 natural logarithm",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "9",
  pages =        "831--835",
  month =        nov,
  year =         "1989",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "26A06 (26A09)",
  MRnumber =     "91a:26002",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "71703",
  catcode =      "G.1.2; G.1.2; K.3.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Spline and
                 piecewise polynomial approximation; K.3.2 Computer and
                 Information Science Education",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Spline and piecewise polynomial
                 approximation; Computing Milieux, COMPUTERS AND
                 EDUCATION, Computer and Information Science Education",
  genterm =      "algorithms; theory",
  guideno =      "1989-03518",
  journalabbrev = "Am. Math. Monthly",
  jrldate =      "Nov. 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; K.
                 Computing Milieux; K.3 COMPUTERS AND EDUCATION",
}

@InProceedings{Ercegovac:1989:FRD,
  author =       "M. D. Ercegovac and T. Lang",
  title =        "On-the-fly rounding for division and square root",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "169--173",
  year =         "1989",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith9/papers/ARITH9_Ercegovac_rounding.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-9",
  summary =      "In division and square root implementation based on
                 digit-recurrence algorithms, the result is obtained in
                 digit-serial form, from most significant digit to least
                 significant. To reduce the complexity of the
                 result-digit selection and to allow the \ldots{}",
}

@InProceedings{Ercegovac:1989:IMC,
  author =       "M. D. Ercegovac and T. Lang",
  booktitle =    "IEEE International Symposium on Circuits and Systems,
                 8--11 May 1989",
  title =        "Implementation of module combining multiplication,
                 division, and square root",
  volume =       "1",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "150--153",
  year =         "1989",
  CODEN =        "????",
  ISSN =         "????",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  summary =      "The implementation of a module that performs radix-$2$
                 multiplication, division, and square root is presented.
                 The module is compact because most of the components
                 are shared by all three operations, the complexity
                 being similar to that of a radix-$2$ \ldots{}",
}

@InProceedings{Ercegovac:1989:RSR,
  author =       "Milo{\v{s}} D. Ercegovac and Tomas Lang",
  title =        "Radix-4 square root without initial {PLA}",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "162--168",
  year =         "1989",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith9/papers/ARITH9_Ercegovac_radix4.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-9",
  summary =      "A systematic derivation of a radix-$4$ square root
                 algorithm using redundance in the partial residuals and
                 the result is presented. Unlike other similar schemes,
                 the algorithm does not use a table-lookup or
                 programmable logic array (PLA) for the \ldots{}",
}

@InProceedings{Fandrianto:1989:AHS,
  author =       "Jan Fandrianto",
  title =        "Algorithms for high-speed shared radix 8 division and
                 radix 8 square root",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "68--75",
  year =         "1989",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith9/papers/ARITH9_Fandrianto.pdf",
  acknowledgement = ack-sfo # " and " # ack-nhfb,
  keywords =     "ARITH-9",
  summary =      "An algorithm for performing radix-$8$ division and
                 square root in a shared hardware is described. To
                 achieve short iteration cycle time, it utilizes an
                 optimized `next quotient/root prediction PLA' generally
                 used in a radix-$4$ SRT division with minimal
                 \ldots{}",
}

@Article{Ge:1989:OCL,
  author =       "Renpu Ge",
  title =        "Optimal choice of linear interval extension",
  journal =      j-APPL-MATH-COMP,
  volume =       "30",
  number =       "2",
  pages =        "165--189",
  month =        mar,
  year =         "1989",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64710",
  catcode =      "G.1.6; G.1.2; G.1.2; G.2.1; F.2.2; G.1.2; G.1.1;
                 G.1.0",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; G.1.2
                 Approximation; G.1.2 Linear approximation; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.2.1 Combinatorics; G.2.1 Combinatorial algorithms;
                 F.2.2 Nonnumerical Algorithms and Problems; F.2.2
                 Computations on discrete structures; G.1.2
                 Approximation; G.1.2 Minimax approximation and
                 algorithms; G.1.1 Interpolation; G.1.1 Difference
                 formulas; G.1.0 General; G.1.0 Numerical algorithms",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Linear
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, DISCRETE
                 MATHEMATICS, Combinatorics, Combinatorial algorithms;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Computations on discrete structures;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Minimax approximation and algorithms;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Difference formulas; Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Numerical
                 algorithms",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-03670",
  journalabbrev = "Appl. Math. Comput.",
  jrldate =      "March 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; G.2 DISCRETE MATHEMATICS",
}

@Article{Gersch:1989:SPT,
  author =       "W. Gersch and G. Kitagawa",
  title =        "Smoothness priors transfer function estimation",
  journal =      j-AUTOMATICA,
  volume =       "25",
  number =       "4",
  pages =        "603--608",
  month =        jul,
  year =         "1989",
  CODEN =        "ATCAA9",
  ISSN =         "0005-1098",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72658",
  catcode =      "G.1.1; G.1.2; G.1.6",
  CRclass =      "G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.6 Optimization; G.1.6 Gradient methods",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Smoothing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Optimization, Gradient methods",
  genterm =      "algorithms; theory",
  guideno =      "1989-03949",
  jrldate =      "July 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@InCollection{Glover:1989:THN,
  author =       "Keith Glover",
  editor =       "Jan C. Willems",
  booktitle =    "From data to model",
  title =        "A tutorial on {Hankel}-norm approximation",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "26--48",
  year =         "1989",
  ISBN =         "0-387-51571-2",
  ISBN-13 =      "978-0-387-51571-7",
  LCCN =         "QA279 .F76 1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "70545",
  bookpages =    "246",
  catcode =      "G.1.2; F.2.1; F.2.1",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; F.2.1 Numerical Algorithms and Problems;
                 F.2.1 Computations on matrices; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computation of
                 transforms",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices; Theory of Computation,
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
                 Numerical Algorithms and Problems, Computation of
                 transforms",
  genterm =      "algorithms; theory",
  guideno =      "1989-01692",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
  waffil =       "Univ. of Groningen, Groningen, The Netherlands",
}

@InProceedings{Glynn:1989:OSS,
  author =       "P. W. Glynn",
  editor =       "Edward A. MacNair and Kenneth J. Musselman and Philip
                 Heidelberger",
  booktitle =    "1989 Winter Simulation Conference proceedings:
                 December 4--6, 1989, the Capital Hilton Hotel,
                 Washington, DC",
  title =        "Optimization of stochastic systems via simulation",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "90--105",
  year =         "1989",
  ISBN =         "0-911801-58-8",
  ISBN-13 =      "978-0-911801-58-3",
  LCCN =         "QA76.9.C65 W56 1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "IEEE order no. 89CH2778-9.",
  URL =          "http://ieeexplore.ieee.org/servlet/opac?punumber=5823",
  acknowledgement = ack-nhfb,
  bibno =        "76750",
  bookpages =    "xx + 1139",
  catcode =      "I.6.3; G.1.6; G.3; G.1.2",
  CRclass =      "I.6.3 Applications; G.1.6 Optimization; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Computing Methodologies, SIMULATION AND MODELING,
                 Applications; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Optimization; Mathematics of Computing,
                 PROBABILITY AND STATISTICS; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; design; performance",
  guideno =      "1989-12012",
  procdate =     "December 4-6, 1989",
  procloc =      "Washington, D. C.",
  subject =      "I. Computing Methodologies; I.6 SIMULATION AND
                 MODELING; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.3 PROBABILITY
                 AND STATISTICS; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}

@Article{Gomes:1989:GGL,
  author =       "M. I. Gomes",
  title =        "Generalized {Gumbel} and likelihood ratio test
                 statistics in the multivariate {GEV} model",
  journal =      j-COMPUT-STAT-DATA-ANAL,
  volume =       "7",
  number =       "3",
  pages =        "259--267",
  month =        feb,
  year =         "1989",
  CODEN =        "CSDADW",
  ISSN =         "0167-9473 (print), 1872-7352 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "70043",
  catcode =      "G.3; G.1.7; I.5.1; G.1.6; G.1.2",
  CRclass =      "G.3 Statistical computing; G.1.7 Ordinary Differential
                 Equations; G.1.7 Convergence and stability; I.5.1
                 Models; I.5.1 Statistical; G.1.6 Optimization; G.1.6
                 Nonlinear programming; G.1.2 Approximation; G.1.2
                 Elementary function approximation",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Ordinary Differential Equations,
                 Convergence and stability; Computing Methodologies,
                 PATTERN RECOGNITION, Models, Statistical; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Optimization,
                 Nonlinear programming; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; measurement; reliability; theory",
  guideno =      "1989-04403",
  journalabbrev = "Comput. Stat. Data Anal.",
  jrldate =      "Feb. 1989",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; I. Computing Methodologies; I.5 PATTERN
                 RECOGNITION; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}

@InProceedings{Gonzaga:1989:ASL,
  author =       "Cl{\'o}vis C. Gonzaga",
  title =        "An algorithm for solving linear programming programs
                 in {$O(n^3L)$} operations",
  crossref =     "Megiddo:1989:PMP",
  pages =        "1--28",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "74172",
  catcode =      "G.1.6; G.1.2; F.2.1; I.1.2; I.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 F.2.1 Numerical Algorithms and Problems; F.2.1
                 Computations on matrices; I.1.2 Algorithms; I.1.2
                 Algebraic algorithms; I.1.2 Algorithms; I.1.2 Analysis
                 of algorithms",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices; Computing Methodologies,
                 ALGEBRAIC MANIPULATION, Algorithms, Algebraic
                 algorithms; Computing Methodologies, ALGEBRAIC
                 MANIPULATION, Algorithms, Analysis of algorithms",
  genterm =      "algorithms; theory",
  guideno =      "1989-12474",
  procdate =     "March 1-4, 1987",
  procloc =      "Pacific Grove, CA",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION",
}

@TechReport{Gragg:1989:FSE,
  author =       "W. Gragg and B. Neta",
  title =        "Fortran Subroutines for the Evaluation of the
                 Confluent Hypergeometric Functions",
  number =       "NPS-MA-89-014",
  institution =  inst-MATH-NPS,
  address =      inst-MATH-NPS:adr,
  year =         "1989",
  bibdate =      "Fri Nov 11 14:50:24 MST 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/n/neta-beny.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Software available URL http://math.nps.navy.mil",
}

@Article{Guo:1989:RCS,
  author =       "S.-S. Guo and M. K. Khan",
  title =        "On the rate of convergence of some operators on
                 functions of bounded variation",
  journal =      j-J-APPROX-THEORY,
  volume =       "58",
  number =       "1",
  pages =        "90--101",
  month =        jul,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "69424",
  catcode =      "F.2.1; G.1.2",
  CRclass =      "F.2.1 Numerical Algorithms and Problems; F.2.1
                 Computations on polynomials; G.1.2 Approximation; G.1.2
                 Elementary function approximation",
  descriptor =   "Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on polynomials; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; theory",
  guideno =      "1989-07854",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "July 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS",
}

@Article{Hornik:1989:MFN,
  author =       "K. Hornik and M. Stinchcombe and H. White",
  title =        "Multilayer feedforward networks are universal
                 approximators",
  journal =      j-NEURAL-NETWORKS,
  volume =       "2",
  number =       "5",
  pages =        "359--366",
  year =         "1989",
  CODEN =        "NNETEB",
  ISSN =         "0893-6080",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Technisce Univ. Wien, Vienna, Austria; Univ. of
                 California, San Diego; Univ. of California, San Diego",
  bibno =        "70408",
  catcode =      "F.2.1; G.1.2; F.1.1; I.2.4",
  CRclass =      "F.2.1 Numerical Algorithms and Problems; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 F.1.1 Models of Computation; F.1.1 Unbounded-action
                 devices; I.2.4 Knowledge Representation Formalisms and
                 Methods",
  descriptor =   "Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
                 Models of Computation, Unbounded-action devices;
                 Computing Methodologies, ARTIFICIAL INTELLIGENCE,
                 Knowledge Representation Formalisms and Methods",
  genterm =      "design; performance",
  guideno =      "1989-09273",
  journalabbrev = "Neural Networks",
  jrldate =      "1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.1
                 COMPUTATION BY ABSTRACT DEVICES; I. Computing
                 Methodologies; I.2 ARTIFICIAL INTELLIGENCE",
}

@Article{Jamieson:1989:RCI,
  author =       "M. J. Jamieson",
  title =        "Rapidly converging iterative formulae for finding
                 square roots and their computational efficiencies",
  journal =      j-COMP-J,
  volume =       "32",
  number =       "1",
  pages =        "93--94",
  month =        feb,
  year =         "1989",
  CODEN =        "CMPJA6",
  DOI =          "http://dx.doi.org/10.1093/comjnl/32.1.93",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65H05",
  MRnumber =     "89k:65063",
  bibdate =      "Tue Mar 25 13:51:56 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_32/Issue_01/",
  note =         "This work generalizes the Pythagorean sums in
                 \cite{Dubrulle:1983:CNM,Moler:1983:RSR}.",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_32/Issue_01/tiff/93.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_32/Issue_01/tiff/94.tif",
  abstract =     "A derivation is given of rapidly converging iterative
                 formulae for finding square roots which include, as
                 special cases, some recently published examples. Their
                 computational efficiencies are investigated for
                 sequential and parallel implementation. It is concluded
                 that the most efficient method is equivalent to
                 sequential application of the Newton Raphson formula; a
                 simple modification is suggested which brings the
                 advantage of root bracketing at little extra
                 computational cost.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Comput. Sci., Glasgow Univ., UK",
  affiliationaddress = "Glasgow, Scotl",
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  classification = "723; 921; B0290F (Interpolation and function
                 approximation); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Dept. of Comput. Sci., Glasgow Univ., UK",
  keywords =     "computational; Computational efficiencies;
                 Computational Efficiency; Computer Metatheory;
                 Convergence; convergence of numerical methods;
                 Converging iterative formulae; converging iterative
                 formulae; efficiencies; formula; function
                 approximation; Iterative Methods; iterative methods;
                 Newton Raphson; Newton Raphson formula, Mathematical
                 Techniques; Parallel implementation; parallel
                 implementation; Square Roots; Square roots; square
                 roots",
  thesaurus =    "Convergence of numerical methods; Function
                 approximation; Iterative methods",
  treatment =    "P Practical",
}

@Article{Jeffries:1989:GFA,
  author =       "John S. Jeffries and Donald R. Smith",
  title =        "A {Green} function approach for a singularly perturbed
                 vector boundary-value problem",
  journal =      j-ADV-APPL-MATH,
  volume =       "10",
  number =       "1",
  pages =        "1--50",
  month =        mar,
  year =         "1989",
  CODEN =        "????",
  ISSN =         "0196-8858 (print), 1090-2074 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of California at San Diego, La Jolla; Univ. of
                 California at San Diego, La Jolla",
  bibno =        "64833",
  catcode =      "G.1.7; G.1.7; F.2.1; G.1.2; G.1.3; G.1.2; G.1.3",
  CRclass =      "G.1.7 Ordinary Differential Equations; G.1.7 Boundary
                 value problems; G.1.7 Ordinary Differential Equations;
                 G.1.7 Convergence and stability; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computation of
                 transforms; G.1.2 Approximation; G.1.2 Nonlinear
                 approximation; G.1.3 Numerical Linear Algebra; G.1.3
                 Eigenvalues; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; G.1.3 Numerical Linear Algebra;
                 G.1.3 Linear systems (direct and iterative methods)",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Boundary value problems;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Convergence and stability;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computation of transforms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Nonlinear
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Eigenvalues;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra, Linear systems (direct and iterative
                 methods)",
  genterm =      "algorithms; theory",
  guideno =      "1989-03271",
  journalabbrev = "Adv. Appl. Math.",
  jrldate =      "March 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS",
}

@Article{Johnson:1989:IMA,
  author =       "K. R. Johnson",
  title =        "An Iterative Method for Approximating Square Roots",
  journal =      j-MATH-MAG,
  volume =       "62",
  number =       "4",
  pages =        "253--259",
  month =        oct,
  year =         "1989",
  CODEN =        "MAMGA8",
  ISSN =         "0025-570X",
  bibdate =      "Thu Sep 1 10:15:42 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}

@Article{Kaishev:1989:SSC,
  author =       "A. I. Kaishev",
  title =        "A sharpened scheme for constructing an a posteriori
                 interval extension of an elementary function.
                 ({Russian})",
  journal =      "Voprosy Kibernet. (Moscow)",
  volume =       "149",
  pages =        "14--18",
  year =         "1989",
  ISBN =         "0134-6388",
  ISBN-13 =      "0134-6388",
  MRclass =      "65G10",
  MRnumber =     "91i:65090",
  MRreviewer =   "I. N. Molchanov",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Kak:1989:BAS,
  author =       "S. C. Kak and A. O. Barbir",
  booktitle =    "Proceedings of the Twenty-First Southeastern Symposium
                 on System Theory, 26--28 March 1989",
  title =        "The {Brahmagupta} algorithm for square rooting",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "456--459",
  year =         "1989",
  CODEN =        "????",
  ISSN =         "????",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  summary =      "An algorithm for square root evaluation is introduced.
                 Novel features of the algorithm include suitability for
                 parallel processing and multi-initial guesses of the
                 root. An extension of the algorithm to the nth rooting
                 is provided. A VLSI \ldots{}",
}

@Article{Kogan:1989:GBF,
  author =       "B. J. Kogan",
  title =        "General background of functional memory algorithms",
  journal =      j-TRANS-SOC-COMP-SIM,
  volume =       "5",
  number =       "4",
  pages =        "285--317",
  month =        oct,
  year =         "1989",
  CODEN =        "TSCSEV",
  ISSN =         "0740-6797",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of California, Los Angeles",
  bibno =        "69149",
  catcode =      "C.3; G.1.2; G.1.2; E.4",
  CRclass =      "C.3 Signal processing systems; G.1.2 Approximation;
                 G.1.2 Elementary function approximation; G.1.2
                 Approximation; G.1.2 Linear approximation; E.4 Data
                 compaction and compression",
  descriptor =   "Computer Systems Organization, SPECIAL-PURPOSE AND
                 APPLICATION-BASED SYSTEMS, Signal processing systems;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Linear approximation; Data, CODING AND
                 INFORMATION THEORY, Data compaction and compression",
  genterm =      "algorithms; design",
  guideno =      "1989-10680",
  journalabbrev = "Trans. Soc. Comput. Simul.",
  jrldate =      "Oct. 1989",
  subject =      "C. Computer Systems Organization; C.3 SPECIAL-PURPOSE
                 AND APPLICATION-BASED SYSTEMS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; E. Data; E.4 CODING
                 AND INFORMATION THEORY",
}

@InProceedings{Kojima:1989:PDI,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A primal-dual interior point algorithm for linear
                 programming",
  crossref =     "Megiddo:1989:PMP",
  pages =        "29--47",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "74173",
  bookpages =    "x + 158",
  catcode =      "G.1.6; F.2.1; G.1.2; F.2.2; F.2.1; I.1.2; I.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; F.2.1
                 Numerical Algorithms and Problems; G.1.2 Approximation;
                 G.1.2 Elementary function approximation; F.2.2
                 Nonnumerical Algorithms and Problems; F.2.2 Geometrical
                 problems and computations; F.2.1 Numerical Algorithms
                 and Problems; F.2.1 Computations on matrices; I.1.2
                 Algorithms; I.1.2 Algebraic algorithms; I.1.2
                 Algorithms; I.1.2 Analysis of algorithms",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Geometrical problems and computations; Theory
                 of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices; Computing Methodologies,
                 ALGEBRAIC MANIPULATION, Algorithms, Algebraic
                 algorithms; Computing Methodologies, ALGEBRAIC
                 MANIPULATION, Algorithms, Analysis of algorithms",
  genterm =      "algorithms; theory",
  guideno =      "1989-12475",
  procdate =     "March 1-4, 1987",
  procloc =      "Pacific Grove, CA",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION",
}

@Article{Kraaikamp:1989:SEP,
  author =       "Cor Kraaikamp",
  title =        "Statistic and ergodic properties of {Minkowski}'s
                 diagonal continued fraction",
  journal =      j-THEOR-COMP-SCI,
  volume =       "65",
  number =       "2",
  pages =        "197--212",
  day =          "28",
  month =        jun,
  year =         "1989",
  CODEN =        "TCSCDI",
  ISSN =         "0304-3975 (print), 1879-2294 (electronic)",
  ISSN-L =       "0304-3975",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Amsterdam Univ., Amsterdam, The Netherlands and Univ.
                 de Provence, Marseille, France",
  bibno =        "70095",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "algorithms; theory",
  guideno =      "1989-10594",
  journalabbrev = "Theor. Comput. Sci.",
  jrldate =      "28 June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Kreider:1989:WSA,
  author =       "K. L. Kreider",
  title =        "A wave splitting approach to time dependent inverse
                 scattering for the stratified cylinder",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "932--943",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64953",
  catcode =      "G.1.7; G.1.2; J.2; J.2; F.2.2; G.1.3; I.1.1",
  CRclass =      "G.1.7 Ordinary Differential Equations; G.1.7 Initial
                 value problems; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; J.2 Physics; J.2 Electronics;
                 F.2.2 Nonnumerical Algorithms and Problems; F.2.2
                 Geometrical problems and computations; G.1.3 Numerical
                 Linear Algebra; G.1.3 Linear systems (direct and
                 iterative methods); I.1.1 Expressions and Their
                 Representation; I.1.1 Simplification of expressions",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Initial value problems;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Physics; Computer Applications, PHYSICAL
                 SCIENCES AND ENGINEERING, Electronics; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Numerical Linear
                 Algebra, Linear systems (direct and iterative methods);
                 Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Expressions and Their Representation, Simplification of
                 expressions",
  genterm =      "algorithms; theory; experimentation; measurement",
  guideno =      "1989-09722",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; J.
                 Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; J. Computer Applications; J.2 PHYSICAL
                 SCIENCES AND ENGINEERING; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; I.
                 Computing Methodologies; I.1 ALGEBRAIC MANIPULATION",
}

@PhdThesis{Littlestone:1989:MBL,
  author =       "N. Littlestone",
  title =        "Mistake bounds and logarithmic linear-threshold
                 learning algorithms",
  type =         "{Ph.D} Thesis",
  school =       "University of California at Santa Cruz",
  address =      "Santa Cruz, CA, USA",
  pages =        "????",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "76493",
  catcode =      "I.2.6; J.4; H.1.2; G.1.2",
  CRclass =      "I.2.6 Learning; J.4 Psychology; H.1.2 User/Machine
                 Systems; H.1.2 Human information processing; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Computing Methodologies, ARTIFICIAL INTELLIGENCE,
                 Learning; Computer Applications, SOCIAL AND BEHAVIORAL
                 SCIENCES, Psychology; Information Systems, MODELS AND
                 PRINCIPLES, User/Machine Systems, Human information
                 processing; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; human factors; performance",
  guideno =      "1989-12934",
  source =       "UMI Order No: GAX89-26506",
  subject =      "I. Computing Methodologies; I.2 ARTIFICIAL
                 INTELLIGENCE; J. Computer Applications; J.4 SOCIAL AND
                 BEHAVIORAL SCIENCES; H. Information Systems; H.1 MODELS
                 AND PRINCIPLES; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}

@Article{Lo:1989:RBP,
  author =       "Shaw-Hwa Lo and Jane-Ling Wang",
  title =        "Representations for the bivariate product limit
                 estimators and the bootstrap versions",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "28",
  number =       "2",
  pages =        "211--226",
  month =        feb,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of California, Davis; Univ. of California,
                 Davis",
  bibno =        "64339",
  catcode =      "G.3; G.1.2; G.1.4; G.1.7",
  CRclass =      "G.3 Statistical computing; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.4 Quadrature and
                 Numerical Differentiation; G.1.4 Gaussian quadrature;
                 G.1.7 Ordinary Differential Equations; G.1.7
                 Convergence and stability",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Quadrature and Numerical Differentiation,
                 Gaussian quadrature; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Ordinary Differential Equations,
                 Convergence and stability",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-08465",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "February 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G.3 PROBABILITY AND STATISTICS",
}

@Article{Lorentz:1989:NA,
  author =       "G. G. Lorentz",
  title =        "Notes on approximation",
  journal =      j-J-APPROX-THEORY,
  volume =       "56",
  number =       "3",
  pages =        "360--365",
  month =        mar,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72258",
  catcode =      "G.1.1; G.1.2; G.1.1",
  CRclass =      "G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.1 Interpolation; G.1.1 Spline and piecewise
                 polynomial interpolation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Smoothing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Interpolation, Spline and piecewise
                 polynomial interpolation",
  genterm =      "algorithms; theory",
  guideno =      "1989-07816",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Mar. 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@InProceedings{Lu:1989:VMI,
  author =       "P. Y. Lu and K. Dawallu",
  title =        "A {VLSI} Module for {IEEE} Floating-Point
                 Multiplication\slash Division\slash Square Root",
  crossref =     "IEEE:1989:PII",
  pages =        "366--368",
  year =         "1989",
  bibdate =      "Wed Nov 06 12:08:38 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  abstract =     "The major objective of this VLSI module design is to
                 determine how to modify a fast floating-point
                 multiplier so that it can perform division and square
                 root in accordance with IEEE standards. This has been
                 achieved by applying the Newton-Ralphson iteration only
                 on the mantissa and adjusting the iterated result by a
                 rounding algorithm. Using 1.0- mu m CMOS standard cell
                 technology, the total area of this module is
                 approximately 7.0 mm*6.5 mm, which is just 25\% larger
                 than the floating-point multiplier. The module can
                 compute multiplication, division, and square root in 3,
                 31, and 43 cycles, respectively. The cycle time, under
                 nominal conditions, is expected to be 20 ns. (2
                 Refs.)",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  affiliation =  "LSI Logic Corp., Menlo Park, CA, USA",
  bookpages =    "xvii + 587",
  classification = "B1265B (Logic circuits); B2570D (CMOS integrated
                 circuits); C4130 (Interpolation and function
                 approximation); C5230 (Digital arithmetic methods)",
  keywords =     "1 Micron; 20 Ns; 7 To 6.5 mm; CMOS standard cell
                 technology; Cycle time; Fast floating-point multiplier;
                 Floating point division; Floating point square root;
                 IEEE standards; Iterated result; Mantissa; Multiplier
                 modification; Newton-Ralphson iteration; Rounding
                 algorithm; VLSI module design",
  numericalindex = "Time 2.0E-08 s; Size 1.0E-06 m; Size 6.5E-03 to
                 7.0E-03 m",
  thesaurus =    "Cellular arrays; CMOS integrated circuits; Digital
                 arithmetic; Dividing circuits; Iterative methods;
                 Modules; Multiplying circuits; VLSI",
}

@Article{Macleod:1989:SAA,
  author =       "Allan J. Macleod",
  title =        "Statistical Algorithms: {Algorithm AS 245}: {A} Robust
                 and Reliable Algorithm for the Logarithm of the Gamma
                 Function",
  journal =      j-APPL-STAT,
  volume =       "38",
  number =       "2",
  pages =        "397--402",
  month =        jun,
  year =         "1989",
  CODEN =        "APSTAG",
  ISSN =         "0035-9254 (print), 1467-9876 (electronic)",
  bibdate =      "Sat Apr 21 10:25:27 MDT 2001",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  URL =          "http://lib.stat.cmu.edu/apstat/245",
  acknowledgement = ack-nhfb,
}

@InProceedings{Mansour:1989:CAS,
  author =       "Y. Mansour and B. Schieber and P. Tiwari",
  booktitle =    "30th Annual Symposium on Foundations of Computer
                 Science, 1989",
  title =        "The complexity of approximating the square root",
  crossref =     "IEEE:1989:ASF",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "325--330",
  year =         "1989",
  CODEN =        "????",
  ISSN =         "????",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  summary =      "The authors prove upper and lower bounds for
                 approximately computing the square root using a given
                 set of operations. The bounds are extended to hold for
                 approximating the kth root, for any fixed k. Several
                 tools from approximation \ldots{}",
}

@Article{Martin:1989:TPQ,
  author =       "Pablo Martin and Antonio Luis Guerrero",
  title =        "Two-point quasi-fractional approximations to the
                 {Bessel} function {$J_\nu(x)$} of fractional order",
  journal =      j-J-COMPUT-PHYS,
  volume =       "85",
  number =       "2",
  pages =        "487--492",
  month =        dec,
  year =         "1989",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(89)90161-7",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:48 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 http://www.sciencedirect.com/science/journal/00219991",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999189901617",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  remark =       "This work produces only 3D approximations.",
}

@InProceedings{Megiddo:1989:POS,
  author =       "N. Megiddo",
  title =        "Pathways to the optimal set in linear programming",
  crossref =     "Megiddo:1989:PMP",
  pages =        "131--158",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "74179",
  catcode =      "G.1.6; G.1.2; G.2.2; G.1.2; G.1.5; F.2.1; I.1.2; G.4;
                 G.4",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.2.2 Graph Theory; G.2.2 Path and circuit problems;
                 G.1.2 Approximation; G.1.2 Spline and piecewise
                 polynomial approximation; G.1.5 Roots of Nonlinear
                 Equations; G.1.5 Iterative methods; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computations on
                 matrices; I.1.2 Algorithms; I.1.2 Analysis of
                 algorithms; G.4 Algorithm analysis; G.4 Efficiency",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, DISCRETE MATHEMATICS, Graph Theory, Path and
                 circuit problems; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Spline and piecewise
                 polynomial approximation; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Roots of Nonlinear Equations,
                 Iterative methods; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
                 and Problems, Computations on matrices; Computing
                 Methodologies, ALGEBRAIC MANIPULATION, Algorithms,
                 Analysis of algorithms; Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Algorithm analysis; Mathematics
                 of Computing, MATHEMATICAL SOFTWARE, Efficiency",
  genterm =      "algorithms; performance; theory",
  guideno =      "1989-12481",
  procdate =     "March 1-4, 1987",
  procloc =      "Pacific Grove, CA",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.2 DISCRETE MATHEMATICS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION; G. Mathematics of Computing;
                 G.4 MATHEMATICAL SOFTWARE; G. Mathematics of Computing;
                 G.4 MATHEMATICAL SOFTWARE",
}

@PhdThesis{Miler:1989:EEM,
  author =       "T. H. Miler",
  title =        "Error evaluation of microcomputer intrinsic
                 functions",
  type =         "{Ph.D} Thesis",
  school =       "University of Idaho",
  address =      "Moscow, ID",
  pages =        "????",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "76168",
  catcode =      "G.4; G.1.2; J.2",
  CRclass =      "G.4 Reliability and robustness; G.1.2 Approximation;
                 G.1.2 Elementary function approximation; J.2
                 Mathematics and statistics",
  descriptor =   "Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Reliability and robustness; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Computer Applications, PHYSICAL SCIENCES
                 AND ENGINEERING, Mathematics and statistics",
  genterm =      "algorithms; reliability",
  guideno =      "1989-12941",
  source =       "UMI order no: GAX89-22813",
  subject =      "G. Mathematics of Computing; G.4 MATHEMATICAL
                 SOFTWARE; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; J. Computer Applications; J.2 PHYSICAL
                 SCIENCES AND ENGINEERING",
}

@InProceedings{Montuschi:1989:EIH,
  author =       "Paolo Montuschi and Luigi Cinimera",
  title =        "On the efficient implementation of higher radix square
                 root algorithms",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "154--161",
  year =         "1989",
  bibdate =      "Sat Jul 16 15:28:13 MDT 2005",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith9/papers/ARITH9_Montuschi.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-9",
  summary =      "Square root nonrestoring algorithms operating with a
                 radix higher than two (but power of 2) are discussed.
                 Formulas are derived delimiting the feasibility space
                 of the class of algorithms considered as a function of
                 the different parameters. This \ldots{}",
}

@Book{Moshier:1989:MPM,
  author =       "Stephen L. B. Moshier",
  title =        "Methods and Programs for Mathematical Functions",
  publisher =    pub-ELLIS-HORWOOD,
  address =      pub-ELLIS-HORWOOD:adr,
  pages =        "vii + 415",
  year =         "1989",
  ISBN =         "0-7458-0289-3",
  ISBN-13 =      "978-0-7458-0289-3",
  LCCN =         "QA331 .M84 1989",
  bibdate =      "Thu Sep 01 10:33:40 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\pounds 48.00",
  acknowledgement = ack-nj,
}

@Article{Rhee:1989:MII,
  author =       "W. T. Rhee and M. Talagrand",
  title =        "Martingale inequalities, interpolation and
                 {NP}-complete problems",
  journal =      j-MATH-OP-RES,
  volume =       "14",
  number =       "1",
  pages =        "91--96",
  month =        feb,
  year =         "1989",
  CODEN =        "MOREDQ",
  ISSN =         "0364-765X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ., Paris, Paris, France; Ohio State Univ.,
                 Columbus",
  bibno =        "67063",
  catcode =      "G.2.2; H.1.1; G.1.1; G.1.2; G.3; I.6.4; F.1.3",
  CRclass =      "G.2.2 Graph Theory; G.2.2 Path and circuit problems;
                 H.1.1 Systems and Information Theory; H.1.1 General
                 systems theory; G.1.1 Interpolation; G.1.1
                 Interpolation formulas; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.3 Probabilistic
                 algorithms (including Monte Carlo); I.6.4 Model
                 Validation and Analysis; F.1.3 Complexity Classes;
                 F.1.3 Reducibility and completeness",
  descriptor =   "Mathematics of Computing, DISCRETE MATHEMATICS, Graph
                 Theory, Path and circuit problems; Information Systems,
                 MODELS AND PRINCIPLES, Systems and Information Theory,
                 General systems theory; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Interpolation, Interpolation
                 formulas; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Probabilistic algorithms (including Monte Carlo);
                 Computing Methodologies, SIMULATION AND MODELING, Model
                 Validation and Analysis; Theory of Computation,
                 COMPUTATION BY ABSTRACT DEVICES, Complexity Classes,
                 Reducibility and completeness",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-09079",
  journalabbrev = "Math. Oper. Res.",
  jrldate =      "Feb. 1989",
  subject =      "F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT
                 DEVICES; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G.2 DISCRETE MATHEMATICS; G.3 PROBABILITY AND
                 STATISTICS; H. Information Systems; H.1 MODELS AND
                 PRINCIPLES; I. Computing Methodologies; I.6 SIMULATION
                 AND MODELING",
}

@Article{Ruymgaart:1989:SPB,
  author =       "F. H. Ruymgaart",
  title =        "Some properties of bivariate empirical hazard
                 processes under random censoring",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "28",
  number =       "2",
  pages =        "271--281",
  month =        feb,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64343",
  catcode =      "G.3; G.1.2",
  CRclass =      "G.3 Statistical computing; G.1.2 Approximation; G.1.2
                 Elementary function approximation",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-08469",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "February 1989",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}

@InCollection{Saigo:1989:FID,
  author =       "Megumi Saigo",
  title =        "Fractional integrals and derivatives associated with
                 elementary functions and {Bessel} functions",
  crossref =     "Srivastava:1989:UFF",
  pages =        "283--306",
  year =         "1989",
  MRclass =      "26A33 (33C10)",
  MRnumber =     "93h:26011",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Ellis Horwood Ser. Math. Appl.",
  acknowledgement = ack-nhfb,
}

@Article{Sala:1989:TJA,
  author =       "Kenneth L. Sala",
  title =        "Transformations of the {Jacobian} amplitude function
                 and its calculation via the arithmetic-geometric mean",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "20",
  number =       "6",
  pages =        "1514--1528",
  month =        nov,
  year =         "1989",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A25 (42A16 70D99)",
  MRnumber =     "90j:33003",
  MRreviewer =   "J. M. H. Peters",
  bibdate =      "Sun Nov 28 19:24:55 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/20/6;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Smith:1989:EMP,
  author =       "David M. Smith",
  title =        "Efficient multiple-precision evaluation of elementary
                 functions",
  journal =      j-MATH-COMPUT,
  volume =       "52",
  number =       "185",
  pages =        "131--134",
  month =        jan,
  year =         "1989",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  MRclass =      "65D15 (26-04)",
  MRnumber =     "90c:65034",
  MRreviewer =   "Menachem Dishon",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4120 (Functional analysis)",
  corpsource =   "Dept. of Math., Loyola Univ., Los Angeles, CA, USA",
  keywords =     "arithmetic; base b; elementary functions; function
                 evaluation; multiple-precision evaluation",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Stearns:1989:SFD,
  author =       "C. C. Stearns",
  title =        "Subtractive floating-point division and square root
                 for {VLSI DSP}",
  crossref =     "IEE:1989:EEC",
  pages =        "405--409",
  year =         "1989",
  bibdate =      "Tue Dec 12 09:17:24 MST 1995",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib",
  abstract =     "This paper describes recent architectural developments
                 in VLSI design for real-time digital signal processing.
                 In particular, floating point division and floating
                 point square root architectures applicable to both
                 adaptive filtering, standard deviation computations,
                 and general purpose processing are discussed. Emphasis
                 here is on the internal architectures of the arithmetic
                 units not on their applications. The research presented
                 in this paper has been proven feasible and reliable
                 from extensive gate-level simulation and fabrication in
                 silicon.",
  acknowledgement = ack-nhfb,
  classification = "B1265F (Microprocessors and microcomputers); B1270F
                 (Digital filters); B2570D (CMOS integrated circuits);
                 C5230 (Digital arithmetic methods); C5240 (Digital
                 filters); C5260 (Digital signal processing)",
  keywords =     "Adaptive filtering; Arithmetic units; CMOS technology;
                 Floating point division; Floating point square root
                 architectures; Gate-level simulation; General purpose
                 processing; Real-time digital signal processing;
                 Semiconductor; Standard deviation computations; VLSI
                 DSP",
  thesaurus =    "Adaptive filters; CMOS integrated circuits; Digital
                 arithmetic; Digital signal processing chips; VLSI",
}

@TechReport{Tang:1989:TCA,
  author =       "Ping Tak Peter Tang",
  title =        "Testing Computer Arithmetic by Elementary Number
                 Theory",
  institution =  "Mathematics and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL, USA",
  pages =        "????",
  month =        aug,
  year =         "1989",
  bibdate =      "Fri Jun 11 12:38:06 1999",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}

@Article{Tang:1989:TDI,
  author =       "Ping Tak Peter Tang",
  title =        "Table-Driven Implementation of the Exponential
                 Function in {IEEE} Floating-Point Arithmetic",
  journal =      j-TOMS,
  volume =       "15",
  number =       "2",
  pages =        "144--157",
  month =        jun,
  year =         "1989",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  bibdate =      "Sun Sep 04 22:47:40 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://doi.acm.org/10.1145/63522.214389;
                 http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p144-tang/",
  abstract =     "Algorithms and implementation details for the
                 exponential function in both single- and
                 double-precision of IEEE 754 arithmetic are presented
                 here. With a table of moderate size, the
                 implementations need only working-precision arithmetic
                 and are provably accurate to within 0.54 ulp as long as
                 the final result does not underflow. When the final
                 result suffers gradual underflow, the error is still no
                 worse than 0.77 ulp.",
  acknowledgement = ack-nj,
  keywords =     "algorithms",
  subject =      "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Computer arithmetic. {\bf G.1.0}:
                 Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Error analysis. {\bf G.1.0}: Mathematics of Computing,
                 NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf
                 G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Algorithm analysis.",
}

@Article{Ubhaya:1989:LAN,
  author =       "V. A. Ubhaya",
  title =        "{$L_p$} approximation from nonconvex subsets of
                 special classes of functions",
  journal =      j-J-APPROX-THEORY,
  volume =       "57",
  number =       "2",
  pages =        "223--238",
  month =        may,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72277",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "verification; theory",
  guideno =      "1989-07833",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "May 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@InProceedings{Vaidya:1989:LWB,
  author =       "P. M. Vaidya",
  title =        "A locally well-behaved potential function and a simple
                 {Newton}-type method for finding the center of a
                 polytype",
  crossref =     "Megiddo:1989:PMP",
  pages =        "79--90",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "74176",
  catcode =      "G.1.6; G.1.6; F.2.2; G.1.2; G.1.5; G.1.5; I.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; G.1.6
                 Optimization; G.1.6 Gradient methods; F.2.2
                 Nonnumerical Algorithms and Problems; F.2.2 Geometrical
                 problems and computations; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.5 Roots of
                 Nonlinear Equations; G.1.5 Convergence; G.1.5 Roots of
                 Nonlinear Equations; G.1.5 Iterative methods; I.1.2
                 Algorithms; I.1.2 Nonalgebraic algorithms",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Optimization, Gradient
                 methods; Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Geometrical problems and computations;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
                 Nonlinear Equations, Convergence; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
                 Equations, Iterative methods; Computing Methodologies,
                 ALGEBRAIC MANIPULATION, Algorithms, Nonalgebraic
                 algorithms",
  genterm =      "algorithms; theory",
  guideno =      "1989-12478",
  procdate =     "March 1-4, 1987",
  procloc =      "Pacific Grove, CA",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION",
  xxpages =      "131--158",
}

@PhdThesis{Vavasis:1989:CFP,
  author =       "S. A. Vavasis",
  title =        "Complexity of fixed point computations",
  type =         "{Ph.D} Thesis",
  school =       "Stanford University",
  address =      "Stanford, CA, USA",
  pages =        "????",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "76220",
  catcode =      "J.4; G.1.2; F.1.3; G.1.2; G.2.2",
  CRclass =      "J.4 Economics; G.1.2 Approximation; G.1.2 Nonlinear
                 approximation; F.1.3 Complexity Classes; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.2.2 Graph Theory; G.2.2 Network problems",
  descriptor =   "Computer Applications, SOCIAL AND BEHAVIORAL SCIENCES,
                 Economics; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Nonlinear approximation;
                 Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
                 Complexity Classes; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, DISCRETE
                 MATHEMATICS, Graph Theory, Network problems",
  genterm =      "algorithms; theory",
  guideno =      "1989-12859",
  source =       "UMI order no: GAX89-19486",
  subject =      "J. Computer Applications; J.4 SOCIAL AND BEHAVIORAL
                 SCIENCES; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; F. Theory of Computation; F.1 COMPUTATION BY
                 ABSTRACT DEVICES; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.2
                 DISCRETE MATHEMATICS",
}

@InProceedings{Vial:1989:APP,
  author =       "J.-P. Vial",
  title =        "Approximate projections in a projective method for the
                 linear feasibility problem",
  crossref =     "Megiddo:1989:PMP",
  pages =        "65--78",
  year =         "1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "74175",
  bookpages =    "x + 158",
  catcode =      "G.1.6; F.2.2; I.1.2; G.1.6; G.1.2; F.2.1; G.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; F.2.2
                 Nonnumerical Algorithms and Problems; F.2.2 Geometrical
                 problems and computations; I.1.2 Algorithms; I.1.2
                 Nonalgebraic algorithms; G.1.6 Optimization; G.1.6
                 Constrained optimization; G.1.2 Approximation; G.1.2
                 Elementary function approximation; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computations on
                 matrices; G.1.2 Approximation; G.1.2 Minimax
                 approximation and algorithms",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations; Computing
                 Methodologies, ALGEBRAIC MANIPULATION, Algorithms,
                 Nonalgebraic algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Optimization, Constrained
                 optimization; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
                 and Problems, Computations on matrices; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Minimax
                 approximation and algorithms",
  genterm =      "algorithms; experimentation; measurement; performance;
                 theory",
  guideno =      "1989-12477",
  procdate =     "March 1-4, 1987",
  procloc =      "Pacific Grove, CA",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{vonRosen:1989:MLE,
  author =       "D. von Rosen",
  title =        "Maximum likelihood estimators in multivariate linear
                 normal models",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "31",
  number =       "2",
  pages =        "187--200",
  month =        nov,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Stockholm, Stockholm, Sweden",
  bibno =        "69314",
  catcode =      "G.1.6; G.1.2; G.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; G.1.2
                 Approximation; G.1.2 Linear approximation; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Linear
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "algorithms; theory",
  guideno =      "1989-08484",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "Nov. 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Book{Wang:1989:SF,
  author =       "Z. X. Wang and D. R. Guo",
  title =        "Special Functions",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xiii + 422",
  year =         "1989",
  ISBN =         "9971-5-0659-9",
  ISBN-13 =      "978-9971-5-0659-9",
  LCCN =         "QA331 .W296 1989",
  bibdate =      "Mon Sep 3 16:10:24 MDT 2007",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Functions",
}

@Article{Wasilkowski:1989:AIV,
  author =       "G. W. Wasilkowski",
  title =        "On adaptive information with varying cardinality for
                 linear problems with elliptically contoured measures",
  journal =      j-J-COMPLEXITY,
  volume =       "5",
  number =       "3",
  pages =        "363--368",
  month =        sep,
  year =         "1989",
  CODEN =        "JOCOEH",
  ISSN =         "0885-064X (print), 1090-2708 (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Kentucky, Lexington, KY",
  bibno =        "68756",
  catcode =      "G.1.2; G.1.2; F.1.3",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Nonlinear
                 approximation; F.1.3 Complexity Classes",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Nonlinear approximation; Theory of
                 Computation, COMPUTATION BY ABSTRACT DEVICES,
                 Complexity Classes",
  genterm =      "algorithms; theory",
  guideno =      "1989-08045",
  journalabbrev = "J. Complexity",
  jrldate =      "Sept. 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.1 COMPUTATION BY ABSTRACT
                 DEVICES",
}

@Article{Weniger:1989:NST,
  author =       "Ernst Joachim Weniger",
  title =        "Nonlinear sequence transformations for the
                 acceleration of convergence and the summation of
                 divergent series",
  journal =      j-COMPUT-PHYS-REP,
  volume =       "10",
  number =       "5--6",
  pages =        "189--371",
  month =        dec,
  year =         "1989",
  CODEN =        "CPHREF",
  DOI =          "http://dx.doi.org/10.1016/0167-7977(89)90011-7",
  ISSN =         "0167-7977 (print), 1878-1004 (electronic)",
  ISSN-L =       "0167-7977",
  bibdate =      "Thu Dec 01 10:13:37 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Available as math.NA/0306302.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Reports",
  keywords =     "convergence acceleration",
}

@Article{Yortsos:1989:LSI,
  author =       "Y. C. Yortsos and F. J. Hickernell",
  title =        "Linear stability of immiscible displacement in porous
                 media",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "730--748",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64942",
  catcode =      "G.1.8; G.1.0; J.2; G.1.2; G.1.4; G.1.8",
  CRclass =      "G.1.8 Partial Differential Equations; G.1.8 Parabolic
                 equations; G.1.0 General; G.1.0 Stability (and
                 instability); J.2 Earth and atmospheric sciences; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.4 Quadrature and Numerical Differentiation; G.1.4
                 Finite difference methods; G.1.8 Partial Differential
                 Equations; G.1.8 Difference methods",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
                 Differential Equations, Parabolic equations;
                 Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Stability (and instability); Computer Applications,
                 PHYSICAL SCIENCES AND ENGINEERING, Earth and
                 atmospheric sciences; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Quadrature and Numerical Differentiation,
                 Finite difference methods; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Partial Differential Equations,
                 Difference methods",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09711",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING",
}

@Article{Zalik:1989:NIE,
  author =       "R. A. Zalik",
  title =        "A new inequality for entire functions",
  journal =      j-J-APPROX-THEORY,
  volume =       "58",
  number =       "3",
  pages =        "281--283",
  month =        sep,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72294",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "verification; theory",
  guideno =      "1989-07871",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Sept. 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Book{Ziemer:1989:WDF,
  author =       "William P. Ziemer",
  title =        "Weakly differentiable functions: {Sobolev} spaces and
                 functions of bounded variation",
  volume =       "120",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 308",
  year =         "1989",
  ISBN =         "0-387-97017-7",
  ISBN-13 =      "978-0-387-97017-2",
  LCCN =         "QA323 .Z53 1989",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Graduate texts in mathematics",
  acknowledgement = ack-nhfb,
  affiliation =  "Indiana Univ., Bloomington",
  bibno =        "69369",
  catcode =      "G.1.2; G.1.8; G.1.5",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.8 Partial Differential Equations;
                 G.1.5 Roots of Nonlinear Equations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Partial
                 Differential Equations; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Roots of Nonlinear Equations",
  genterm =      "algorithms; theory",
  guideno =      "1989-01732",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}

@Article{Amos:1990:RPP,
  author =       "Donald E. Amos",
  title =        "Remark on ``{Algorithm 644}: {A} Portable Package for
                 {Bessel} Functions of a Complex Argument and
                 Nonnegative Order''",
  journal =      j-TOMS,
  volume =       "16",
  number =       "4",
  pages =        "404--404",
  month =        dec,
  year =         "1990",
  CODEN =        "ACMSCU",
  DOI =          "http://doi.acm.org/10.1145/98267.98299",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Mar 09 10:26:24 1999",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See
                 \cite{Amos:1986:APP,Amos:1995:RAP,Kodama:2007:RA}.",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p404-amos/",
  acknowledgement = ack-nhfb,
  keywords =     "algorithms; theory",
  subject =      "{\bf F.2.2}: Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems.",
}

@Article{Anderson:1990:FIC,
  author =       "G. D. Anderson and M. K. Vamanamurthy and M.
                 Vuorinen",
  title =        "Functional Inequalities for Complete Elliptic
                 Integrals and Their Ratios",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "21",
  number =       "2",
  pages =        "536--549",
  month =        mar,
  year =         "1990",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33E05 (30C62 33C75)",
  MRnumber =     "91d:33039",
  MRreviewer =   "K. C. Gupta",
  bibdate =      "Sat Dec 5 18:14:13 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bellalij:1990:SPC,
  author =       "M. Bellalij",
  title =        "A simultaneous process for convergence acceleration
                 and error control",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "33",
  number =       "2",
  pages =        "217--231",
  day =          "21",
  month =        dec,
  year =         "1990",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0377-0427(90)90370-F",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65B99 (65G10)",
  MRnumber =     "1090897 (92a:65029)",
  MRreviewer =   "Thomas A. Atchison",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  keywords =     "convergence acceleration",
}

@Article{Bronstein:1990:IEF,
  author =       "Manuel Bronstein",
  title =        "Integration of elementary functions",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "9",
  number =       "2",
  pages =        "117--173",
  month =        feb,
  year =         "1990",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  MRclass =      "12H05 (68Q40)",
  MRnumber =     "91h:12017",
  MRreviewer =   "Alexandru Buium",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 Theory/cathode.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1120 (Analysis); C4160 (Numerical integration and
                 differentiation)",
  corpsource =   "Dept. of Math. Sci, IBM Res. Div., Thomas J. Watson
                 Res. Center, Yorktown Heights, NY, USA",
  keywords =     "algebraic extension; algebraic function; decision
                 procedure; elementary function field; elementary
                 functions; exponential; finite terms; indefinite;
                 integration; integration Risch ODEs oderef; logarithm;
                 proof; Trager",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Carre:1990:PEF,
  author =       "C. Carre",
  title =        "Plethysm of elementary functions",
  journal =      "Bayreuth. Math. Schr.",
  volume =       "31",
  pages =        "1--18",
  year =         "1990",
  ISSN =         "0172-1062",
  MRclass =      "20C30 (05E05 22E45)",
  MRnumber =     "91f:20013",
  MRreviewer =   "John R. Stembridge",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ciminiera:1990:HRS,
  author =       "L. Ciminiera and P. Montuschi",
  title =        "Higher radix square rooting",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "39",
  number =       "10",
  pages =        "1220--1231",
  month =        oct,
  year =         "1990",
  CODEN =        "ITCOB4",
  DOI =          "http://dx.doi.org/10.1109/12.59853",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Thu Jul 7 14:20:04 MDT 2011",
  bibsource =    "http://ieeexplore.ieee.org/;
                 http://www.computer.org/tc/;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=59853",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
  summary =      "A general discussion on nonrestoring square root
                 algorithms is presented, showing bounds and constraints
                 delimiting the space of feasible algorithms, for all
                 the choices of radix, digit set and representation of
                 the partial remainder. Two classes of \ldots{}",
}

@Article{Cody:1990:PEP,
  author =       "W. J. Cody",
  title =        "Performance Evaluation of Programs for the Error and
                 Complementary Error Functions",
  journal =      j-TOMS,
  volume =       "16",
  number =       "1",
  pages =        "29--37",
  month =        mar,
  year =         "1990",
  CODEN =        "ACMSCU",
  DOI =          "http://dx.doi.org/10.1145/77626.77628",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  MRclass =      "65-04 (65G05)",
  MRnumber =     "1 073 407",
  bibdate =      "Tue Oct 09 09:29:47 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p29-cody/;
                 http://www.acm.org/pubs/toc/Abstracts/0098-3500/77628.html",
  abstract =     "This paper presents methods for performance evaluation
                 of computer programs for the functions
                 $\textrm{erf}(x)$, $\textrm{erfc}(x)$, and $\e^{x^2}
                 \textrm{erfc}(x)$. Accuracy estimates are based on
                 comparisons using power series expansions and an
                 expansion in the repeated integrals of
                 $\textrm{erfc}(x)$. Some suggestions for checking
                 robustness are also given. Details of a specific
                 implementation of a test program are included.",
  acknowledgement = ack-nhfb,
  affiliation =  "Argonne Nat. Lab., IL, USA",
  classification = "B0290B (Error analysis in numerical methods); B0290F
                 (Interpolation and function approximation); C4110
                 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  keywords =     "Complementary error functions; Computer programs;
                 FORTRAN; Power series expansions; Repeated integrals;
                 Robustness; Test program",
  subject =      "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
                 SOFTWARE, Certification and testing. {\bf G.4}:
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Reliability and robustness. {\bf G.1.0}: Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Numerical
                 algorithms.",
  thesaurus =    "Error analysis; Function approximation; Performance
                 evaluation",
}

@Article{Dunham:1990:FPF,
  author =       "C. B. Dunham",
  title =        "Feasibility of ``perfect'' function evaluation",
  journal =      j-SIGNUM,
  volume =       "25",
  number =