DLMF: Untitled Document

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M. J. Seaton (1982) Coulomb functions analytic in the energy. Comput. Phys. Comm. 25 (1), pp. 87–95.

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Notes:: Double-precision Fortran code.
External Links:: Document, Code
Referenced by:: §33.1, §33.14(iv), 9th item.
Encodings:: BibTeX

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J. Segura and A. Gil (1998) Parabolic cylinder functions of integer and half-integer orders for nonnegative arguments. Comput. Phys. Comm. 115 (1), pp. 69–86.

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Notes:: Double-precision Fortran, minimum accuracy 14S, maximum accuracy 18D.
External Links:: ISSN 0010-4655, Document, Code, MathReview, ZentralBlatt
Referenced by:: 3rd item.
Encodings:: BibTeX

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B. L. Shea (1988) Algorithm AS 239. Chi-squared and incomplete gamma integral. Appl. Statist. 37 (3), pp. 466–473.

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Notes:: Double-precision Fortran.
External Links:: FullText, Code
Referenced by:: 5th item.
Encodings:: BibTeX

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W. V. Snyder (1993) Algorithm 723: Fresnel integrals. ACM Trans. Math. Software 19 (4), pp. 452–456.

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Notes:: Single- and double-precision Fortran, maximum accuracy 16D. For remarks see same journal v. 22 (1996), p. 498-500 and v. 26 (2000), p. 617
External Links:: ISSN 0098-3500, Document, GAMS (module 723; package TOMS), ZentralBlatt
Referenced by:: 3rd item, 1st item.
Encodings:: BibTeX

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A. J. Stone and C. P. Wood (1980) Root-rational-fraction package for exact calculation of vector-coupling coefficients. Comput. Phys. Comm. 21 (2), pp. 195–205.

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Notes:: Double-precision Fortran, maximum accuracy 16D
External Links:: Document, Code
Referenced by:: 10th item.
Encodings:: BibTeX

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R. W. Abernathy and R. P. Smith (1993) Algorithm 724: Program to calculate F-percentiles. ACM Trans. Math. Software 19 (4), pp. 481–483.

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Notes:: Double-precision Fortran, maximum accuracy 13D.
External Links:: ISSN 0098-3500, Document, GAMS (module 724; package TOMS), ZentralBlatt
Referenced by:: 1st item.
Encodings:: BibTeX

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F. A. Alhargan (2000) Algorithm 804: Subroutines for the computation of Mathieu functions of integer orders. ACM Trans. Math. Software 26 (3), pp. 408–414.

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Notes:: Double-precision C++, minimum accuracy 14D
External Links:: ISSN 0098-3500, Document, GAMS (module 804; package TOMS)
Referenced by:: 1st item, 1st item.
Encodings:: BibTeX

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D. E. Amos (1983b) Algorithm 610. A portable FORTRAN subroutine for derivatives of the psi function. ACM Trans. Math. Software 9 (4), pp. 494–502.

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Notes:: Single and double precision, maximum accuracy 18S.
External Links:: ISSN 0098-3500, Document, GAMS (module 610; package TOMS), MathReview Entry, ZentralBlatt
Referenced by:: 1st item.
Encodings:: BibTeX

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D. E. Amos (1986) Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order. ACM Trans. Math. Software 12 (3), pp. 265–273.

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Notes:: Single and double precision, maximum accuracy 18S.
External Links:: ISSN 0098-3500, Document, Remark #1. Remark #2. GAMS (module 644; package TOMS), MathReview Entry, ZentralBlatt
Referenced by:: 1st item, 1st item, 2nd item, 1st item.
Encodings:: BibTeX

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H. M. Antia (1993) Rational function approximations for Fermi-Dirac integrals. The Astrophysical Journal Supplement Series 84, pp. 101–108.

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Notes:: Double-precision Fortran, maximum precision 8D.
External Links:: ISSN 0067-0049, Document, Code
Referenced by:: 5th item, 1st item.
Encodings:: BibTeX

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S. Lai and Y. Chiu (1992) Exact computation of the

9

-

j

symbols. Comput. Phys. Comm. 70 (3), pp. 544–556.

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Notes:: Double-precision Fortran
External Links:: ISSN 0010-4655, Document, Code, MathReview
Referenced by:: 7th item.
Encodings:: BibTeX

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P. W. Lawrence, R. M. Corless, and D. J. Jeffrey (2012) Algorithm 917: complex double-precision evaluation of the Wright

\omega

function. ACM Trans. Math. Software 38 (3), pp. Art. 20, 17.

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External Links:: ISSN 0098-3500, Document, FullText, MathReview Entry, ZentralBlatt
Referenced by:: §4.13, 2nd item, §4.48(iv).
Encodings:: BibTeX

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D. W. Lozier and J. M. Smith (1981) Algorithm 567: Extended-range arithmetic and normalized Legendre polynomials [A1], [C1]. ACM Trans. Math. Software 7 (1), pp. 141–146.

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Notes:: Double-precision Fortran, minumum accuracy 13S
External Links:: ISSN 0098-3500, Document, GAMS (module 567; package TOMS)
Referenced by:: 6th item.
Encodings:: BibTeX

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IMSL (commercial C, Fortran, and Java libraries) IMSL Nuerical Libraries..

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Notes:: The IMSL Libraries are large general purpose numerical software libraries with broad coverage of elementary and special functions. Implementations are in single and double precision.
Referenced by:: § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index.
Encodings:: BibTeX

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I. D. Hill (1973) Algorithm AS66: The normal integral. Appl. Statist. 22 (3), pp. 424–427.

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Notes:: Double-precision Fortran, maximum accuracy 12D.
External Links:: FullText, Code
Referenced by:: 5th item.
Encodings:: BibTeX

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M. Hiyama and H. Nakamura (1997) Two-center Coulomb functions. Comput. Phys. Comm. 103 (2-3), pp. 209–216.

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Notes:: Double-precision Fortran code.
External Links:: ISSN 0010-4655, Document, Code
Referenced by:: 6th item.
Encodings:: BibTeX

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T. Watanabe, M. Natori, and T. Oguni (Eds.) (1994) Mathematical Software for the P.C. and Work Stations – A Collection of Fortran 77 Programs. North-Holland Publishing Co., Amsterdam.

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Notes:: Translated from the 1989 Japanese original. With 1 IBM-PC floppy disk (5.25 inch) containing a large general purpose mathematical software collection written in Fortran, including some special function codes. Double precision.
External Links:: ISBN 0-444-82000-0, MathReview, ZentralBlatt
Referenced by:: § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index.
Encodings:: BibTeX

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T. Weider (1999) Algorithm 794: Numerical Hankel transform by the Fortran program HANKEL. ACM Trans. Math. Software 25 (2), pp. 240–250.

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Notes:: Double-precision Fortran, maximum accuracy 10S.
External Links:: ISSN 0098-3500, Document, GAMS (module 794; package TOMS), ZentralBlatt
Referenced by:: 7th item, 10th item.
Encodings:: BibTeX

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A. J. MacLeod (1996a) Algorithm 757: MISCFUN, a software package to compute uncommon special functions. ACM Trans. Math. Software 22 (3), pp. 288–301.

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Notes:: Double-precision Fortran, maximum accuracy 20D.
External Links:: ISSN 0098-3500, Document, GAMS (module 757; package TOMS), MathReview Entry, ZentralBlatt
Referenced by:: 5th item, 1st item, 1st item, 4th item, 1st item, 1st item.
Encodings:: BibTeX

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A. J. MacLeod (1998) Algorithm 779: Fermi-Dirac functions of order

-1/2

,

1/2

,

3/2

,

5/2

. ACM Trans. Math. Software 24 (1), pp. 1–12.

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Notes:: Double-precision Fortran, maximum accuracy 16D.
External Links:: ISSN 0098-3500, Document, GAMS (module 779; package TOMS), ZentralBlatt
Referenced by:: 8th item.
Encodings:: BibTeX

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K. L. Majumder and G. P. Bhattacharjee (1973) Algorithm AS 63. The incomplete beta integral. Appl. Statist. 22 (3), pp. 409–411.

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Notes:: Double-precision Fortran. For remark see same journal 26 (1977), pp. 111-114
External Links:: FullText, Code
Referenced by:: 4th item.
Encodings:: BibTeX

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Matlab (commercial interactive system) The MathWorks, Inc..

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Notes:: General purpose mathematical computing environment. Includes a collection of special functions. Computations in double precision with symbolic and extended-precision capabilities available.
Referenced by:: § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index.
Encodings:: BibTeX

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JTEM (website) Java Tools for Experimental Mathematics

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Notes:: Single and double precision. Contains packages to compute elliptic functions, Riemann theta functions and their derivatives, and Riemann matrices for Riemann surfaces.
External Links:: Home Page
Referenced by:: § ‣ Software Cross Index.
Encodings:: BibTeX

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M. N. Vrahatis, O. Ragos, T. Skiniotis, F. A. Zafiropoulos, and T. N. Grapsa (1995) RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions. Comput. Phys. Comm. 92 (2-3), pp. 252–266.

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Notes:: Double-precision Fortran, maximum accuracy 16S. For corrections see same journal 117 (1999), p. 290
External Links:: ISSN 0010-4655, Document, Code, ZentralBlatt
Referenced by:: 3rd item.
Encodings:: BibTeX

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G. Delic (1979a) Chebyshev expansion of the associated Legendre polynomial

P^{M}_{L}(x)

. Comput. Phys. Comm. 18 (1), pp. 63–71.

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Notes:: Double-precision Fortran, maximum accuracy 25D
External Links:: Document, Code
Referenced by:: 3rd item.
Encodings:: BibTeX

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C. F. du Toit (1993) Bessel functions

J_{n}(z)

and

Y_{n}(z)

of integer order and complex argument. Comput. Phys. Comm. 78 (1-2), pp. 181–189.

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Notes:: Double-precision Pascal, maximum accuracy 7D.
External Links:: ISSN 0010-4655, Document, Code, MathReview (J. P. Singhal), ZentralBlatt
Referenced by:: 2nd item.
Encodings:: BibTeX

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double precision

11—20 of 28 matching pages

11: Bibliography S

12: Bibliography

13: Bibliography L

14: Bibliography I

15: Bibliography H

16: Bibliography W

17: Bibliography M

18: Bibliography J

19: Bibliography V

20: Bibliography D