DLMF: Untitled Document

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J. B. Campbell (1984) Determination of

\nu

-zeros of Hankel functions. Comput. Phys. Comm. 32 (3), pp. 333–339.

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Notes:: Double-precision Fortran, maximum accuracy 7S.
External Links:: ISSN 0010-4655, Document, Code
Referenced by:: 1st item.
Encodings:: BibTeX

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B. C. Carlson and J. FitzSimons (2000) Reduction theorems for elliptic integrands with the square root of two quadratic factors. J. Comput. Appl. Math. 118 (1-2), pp. 71–85.

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Notes:: Code written by the second author to compute symmetric elliptic integrals numerically in the Derive computer algebra system is available.
External Links:: ISSN 0377-0427, Document, Code, MathReview, ZentralBlatt
Referenced by:: §19.29(ii), §19.36(i), §19.36(i), §19.39(iv).
Encodings:: BibTeX

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B. C. Carlson (1999) Toward symbolic integration of elliptic integrals. J. Symbolic Comput. 28 (6), pp. 739–753.

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Notes:: Code written by J. FitzSimons to generate reduction tables for elliptic integrals symbolically in the Derive computer algebra system is available.
External Links:: ISSN 0747-7171, Document, Code, MathReview (Axel Riese), ZentralBlatt
Referenced by:: §19.29(i), §19.29(ii), §19.29(ii), §19.29(ii), §19.29(ii).
Encodings:: BibTeX

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L. Chihara (1987) On the zeros of the Askey-Wilson polynomials, with applications to coding theory. SIAM J. Math. Anal. 18 (1), pp. 191–207.

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External Links:: ISSN 0036-1410, Document, MathReview (Mourad E. H. Ismail), ZentralBlatt
Referenced by:: §18.38(iii).
Encodings:: BibTeX

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J. A. Christley and I. J. Thompson (1994) CRCWFN: Coupled real Coulomb wavefunctions. Comput. Phys. Comm. 79 (1), pp. 143–155.

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Notes:: Double-precision Fortran code.
External Links:: ISSN 0010-4655, Document, Code, ZentralBlatt
Referenced by:: 5th item.
Encodings:: BibTeX

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… ►An interesting anecdote told by Davis reveals that he and mathematician Philip Rabinowitz were dubbed “Heroes of the SEAC” when their Gaussian integration code executed correctly on its first run. …

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K. A. Paciorek (1970) Algorithm 385: Exponential integral

\mathrm{Ei}(x)

. Comm. ACM 13 (7), pp. 446–447.

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Notes:: Includes Fortran code, maximum accuracy 20D. For certification and remarks see same journal v. 13 (1970), pp. 448–449 and p. 750; v. 15 (1972), p. 1074.
External Links:: ISSN 0001-0782, Document
Referenced by:: §6.21(ii).
Encodings:: BibTeX

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W. F. Perger, A. Bhalla, and M. Nardin (1993) A numerical evaluator for the generalized hypergeometric series. Comput. Phys. Comm. 77 (2), pp. 249–254.

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Notes:: Extended-precision Fortran, maximum accuracy 12D.
External Links:: Document, Code, ZentralBlatt
Referenced by:: 1st item.
Encodings:: BibTeX

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H. N. Phien (1990) A note on the computation of the incomplete beta function. Adv. Eng. Software 12 (1), pp. 39–44.

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Notes:: Includes Basic code.
External Links:: Document
Referenced by:: §8.28(iv).
Encodings:: BibTeX

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R. Piessens (1982) Automatic computation of Bessel function integrals. Comput. Phys. Comm. 25 (3), pp. 289–295.

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Notes:: Double-precision Fortran, maximum accuracy 20S.
External Links:: ISSN 0010-4655, Document, Code
Referenced by:: 6th item.
Encodings:: BibTeX

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R. Piessens (1984b) The computation of Bessel functions on a small computer. Comput. Math. Appl. 10 (2), pp. 161–166.

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Notes:: Fortran code.
External Links:: ISSN 0898-1221, Document, MathReview (G. P. Bhattacharjee), ZentralBlatt
Referenced by:: §10.77(iii).
Encodings:: BibTeX

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A. Gil and J. Segura (1997) Evaluation of Legendre functions of argument greater than one. Comput. Phys. Comm. 105 (2-3), pp. 273–283.

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Notes:: Double-precision Fortran, maximum accuracy 18S
External Links:: ISSN 0010-4655, Document, Code, MathReview, ZentralBlatt
Referenced by:: 4th item.
Encodings:: BibTeX

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A. Gil and J. Segura (1998) A code to evaluate prolate and oblate spheroidal harmonics. Comput. Phys. Comm. 108 (2-3), pp. 267–278.

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Notes:: Double-precision Fortran, maximum accuracy 18S
External Links:: Document, Code, ZentralBlatt
Referenced by:: 5th item, 1st item.
Encodings:: BibTeX

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A. Gil and J. Segura (2000) Evaluation of toroidal harmonics. Comput. Phys. Comm. 124 (1), pp. 104–122.

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External Links:: Document, Code, ZentralBlatt
Referenced by:: 4th item.
Encodings:: BibTeX

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A. Gil and J. Segura (2001) DTORH3 2.0: A new version of a computer program for the evaluation of toroidal harmonics. Comput. Phys. Comm. 139 (2), pp. 186–191.

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External Links:: Document, Code, ZentralBlatt
Referenced by:: 2nd item.
Encodings:: BibTeX

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GIMPS (website)

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Notes:: Information on Mersenne primes and the source code for the Great Internet Mersenne Prime Search.
External Links:: Home Page
Referenced by:: 5th item.
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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M. Hoyles, S. Kuyucak, and S. Chung (1998) Solutions of Poisson’s equation in channel-like geometries. Comput. Phys. Comm. 115 (1), pp. 45–68.

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External Links:: ISSN 0010-4655, Document, Code, MathReview Entry, ZentralBlatt
Referenced by:: §14.31(i).
Encodings:: BibTeX

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Y. P. Hsu (1993) Development of a Gaussian hypergeometric function code in complex domains. Internat. J. Modern Phys. C 4 (4), pp. 805–840.

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External Links:: ISSN 0129-1831, Document, MathReview (Walter Gautschi), ZentralBlatt
Referenced by:: §15.20(iii).
Encodings:: BibTeX

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B. Deconinck, M. Heil, A. Bobenko, M. van Hoeij, and M. Schmies (2004) Computing Riemann theta functions. Math. Comp. 73 (247), pp. 1417–1442.

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Notes:: Two of the authors (Deconinck and van Hoeij) have developed Maple code for the algorithms described in this paper.
External Links:: ISSN 0025-5718, Document, Code, MathReview, ZentralBlatt
Referenced by:: §21.10(i), 1st item, §21.2(i), §21.4, M. Heil (1995).
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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J. Dexter and E. Agol (2009) A fast new public code for computing photon orbits in a Kerr spacetime. The Astrophysical Journal 696, pp. 1616–1629.

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External Links:: Document
Referenced by:: §19.35(ii).
Encodings:: BibTeX

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R. McD. Dodds and G. Wiechers (1972) Vector coupling coefficients as products of prime factors. Comput. Phys. Comm. 4 (2), pp. 268–274.

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Notes:: Single-precision Fortran
External Links:: Document, Code
Referenced by:: 4th item.
Encodings:: BibTeX

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O. Dragoun and G. Heuser (1971) A program to calculate internal conversion coefficients for all atomic shells without screening. Comput. Phys. Comm. 2 (7), pp. 427–432.

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Notes:: Single-precision Fortran
External Links:: Document, Code
Referenced by:: 1st item.
Encodings:: BibTeX

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T. A. Kaeding (1995) Pascal program for generating tables of

\mathrm{SU}(3)

Clebsch-Gordan coefficients. Comput. Phys. Comm. 85 (1), pp. 82–88.

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External Links:: ISSN 0010-4655, Document, Code, MathReview Entry, ZentralBlatt
Referenced by:: 6th item.
Encodings:: BibTeX

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N. P. Kirk, J. N. L. Connor, and C. A. Hobbs (2000) An adaptive contour code for the numerical evaluation of the oscillatory cuspoid canonical integrals and their derivatives. Computer Physics Comm. 132 (1-2), pp. 142–165.

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External Links:: Document, Code, ZentralBlatt
Referenced by:: §36.15(iii).
Encodings:: BibTeX

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K. S. Kölbig (1972c) Programs for computing the logarithm of the gamma function, and the digamma function, for complex argument. Comput. Phys. Comm. 4, pp. 221–226.

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Notes:: Single-precision Fortran, accuracy 12-14S
External Links:: Document, Code
Referenced by:: 1st item.
Encodings:: BibTeX

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C. Krattenthaler (1993) HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively

q

-binomial sums and basic hypergeometric series. Séminaire Lotharingien de Combinatoire 30, pp. 61–76.

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Notes:: Also published in J. Symbolic Comput. (1995), v. 20, no. 5–6, pp. 737–744.
External Links:: Code, Document, MathReview (G. Gasper), ZentralBlatt
Referenced by:: 1st item.
Encodings:: BibTeX

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P. Kravanja, O. Ragos, M. N. Vrahatis, and F. A. Zafiropoulos (1998) ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument. Comput. Phys. Comm. 113 (2-3), pp. 220–238.

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Notes:: Double-precision Fortran, maximum accuracy 25S.
External Links:: ISSN 0010-4655, Document, Code, ZentralBlatt
Referenced by:: 2nd item.
Encodings:: BibTeX

…

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Yu. L. Ratis and P. Fernández de Córdoba (1993) A code to calculate (high order) Bessel functions based on the continued fractions method. Comput. Phys. Comm. 76 (3), pp. 381–388.

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Notes:: Double-precision Fortran, maximum accuracy 18D.
External Links:: ISSN 0010-4655, Document, Code, MathReview, ZentralBlatt
Referenced by:: 6th item.
Encodings:: BibTeX

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… ►

Research Software.

This is software of narrow scope developed as a byproduct of a research project and subsequently made available at no cost to the public. The software is often meant to demonstrate new numerical methods or software engineering strategies which were the subject of a research project. When developed, the software typically contains capabilities unavailable elsewhere. While the software may be quite capable, it is typically not professionally packaged and its use may require some expertise. The software is typically provided as source code or via a web-based service, and no support is provided.

►

Open Source Collections and Systems.

These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.

…

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S. V. Aksenov, M. A. Savageau, U. D. Jentschura, J. Becher, G. Soff, and P. J. Mohr (2003) Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics. Comput. Phys. Comm. 150 (1), pp. 1–20.

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Notes:: Includes algorithms for Lerch’s transcendent. C and Mathematica codes by Aksenov and Jentschura are available.
External Links:: Code, Document
Referenced by:: 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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Arblib (C) Arb: A C Library for Arbitrary Precision Ball Arithmetic.

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Notes:: An extended-precision C code for special functions. The library uses arbitrary-precision ball arithmetic. Ball arithmetic is an efficient technique for performing numerical computations with automatic and rigorous tracking of error bounds. Arb is designed with computer algebra and computational number theory in mind, extending the principles behind FLINT to the domain of real and complex numbers.
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.
Encodings:: BibTeX

►

R. W. B. Ardill and K. J. M. Moriarty (1978) Spherical Bessel functions

j_{n}

and

y_{n}

of integer order and real argument. Comput. Phys. Comm. 14 (3-4), pp. 261–265.

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Notes:: Single-precision Fortran, maximum accuracy 10S.
External Links:: ISSN 0010-4655, Document, Code
Referenced by:: 1st item.
Encodings:: BibTeX

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Stickelberger codes

11—20 of 27 matching pages

11: Bibliography C

12: Philip J. Davis

13: Bibliography P

14: Bibliography G

15: Bibliography H

16: Bibliography D

17: Bibliography K

18: Bibliography R

19: Software Index

20: Bibliography