toms757

toms757, a Fortran77 code which evaluates a number of uncommon special functions, by Allan McLeod.

The special functions include:

• the Abramowitz function of several orders;
• integrals of the Airy functions Ai(x) and Bi(x);
• Clausen's integral;
• Debye integrals of several orders;
• integrals of the Bessel functions I0, J0, K0 and Y0;
• Struve functions;
• the synchrotron radiation integral;
• the transport integral of several orders;

The original, true, correct version of ACM toms Algorithm 757 is available through ACM: https://www.acm.org/pubs/calgo or NETLIB: https://www.netlib.org/toms/index.html

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

toms757 is available in a Fortran77 version and a Fortran90 version.

Related Data and Programs:

toms757_test

test_values, a Fortran77 library which contains routines which store selected values of various special functions.

Author:

Allan McLeod,
Department of Mathematics and Statistics,
Paisley University, Scotland.

Reference:

1. Allan Mcleod,
   Algorithm 757, MISCFUN: A software package to compute uncommon special functions,
   ACM Transactions on Mathematical Software,
   Volume 22, Number 3, September 1996, pages 288-301.

Source Code:

• toms757.f, the source code;
• toms757.sh, commands to compile the source code;