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Algorithm 757: MISCFUN, a software package to compute uncommon special functions

Editor: Ronald Boisvert Author:

Allan J. MacLeodAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 22, Issue 3

Pages 288 - 301

https://doi.org/10.1145/232826.232846

Published: 01 September 1996 Publication History

Abstract

MISCFUN (MISCellaneous FUNctions) is a Fortran package for the evaluation of several special functions, which are not used often enough to have been included in the standard libraries or packages. The package uses Chebyshev expansions as the underlying method of approximation, with the Chebyshev coefficients given to 20D. A wide variety of functions are included, and the package is designed so that other functions can be added in a standard manner.

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Software for "MISCFUN, a software package to compute uncommon special functions Abramowitz, Airy, Bessel integrals, Debye, Struve, synchrotron radiation, transport integral, inverse-tangent integral, Clausen integral, Lobachevski integral, Stromgren integral"

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References

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COPY, W. J. AND STOLTZ, L. 1991. The use of Taylor series to test accuracy of function programs. ACM Trans. Math. Softw. 17, 1, 55-63.]]

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CODY, W. J. AND WAITE, W. 1980. Software Manual for the Elementary Functions. Prentice- Hall, Englewood Cliffs, N.J.]]

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JONES, R. E. AND KAHANER, D.K. 1983. XERROR, the SLATEC error handling package. Softw. Pract. Exper. 13, 251-257.]]

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LUKE, Y.L. 1969. The Special Functions and Their Approximations. Vol. 2. Academic Press, New York.]]

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MAcLEoD, A.J. 1992b. The numerical computation of transport integrals. Comput. Phys. Commun. 69, 229-234.]]

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Algorithm 757: MISCFUN, a software package to compute uncommon special functions

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Information

Published In

cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 22, Issue 3

Sept. 1996

122 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/232826

Editor:
Ronald Boisvert
National Institute of Standards and Technology, Gaithersburg

Issue’s Table of Contents

Copyright © 1996 ACM.

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 September 1996

Published in TOMS Volume 22, Issue 3

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Cited By

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https://dl.acm.org/doi/10.1007/s11075-023-01654-2
Hattori MKosuge SAoki K(2018)Slip boundary conditions for the compressible Navier-Stokes equations for a polyatomic gasPhysical Review Fluids10.1103/PhysRevFluids.3.0634013:6Online publication date: 27-Jun-2018
https://doi.org/10.1103/PhysRevFluids.3.063401
Tossani FNapolitano FBorghetti A(2017)New Integral Formulas for the Elements of the Transient Ground Resistance Matrix of Multiconductor LinesIEEE Transactions on Electromagnetic Compatibility10.1109/TEMC.2016.259159059:1(193-198)Online publication date: Feb-2017
https://doi.org/10.1109/TEMC.2016.2591590
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