Uncommon Special Functions

TOMS757 is a FORTRAN90 library which evaluates a number of uncommon special functions, by Allan McLeod.

TOMS757 is a FORTRAN90 version of ACM TOMS algorithm 757.

The special functions include:

The original, true, correct version of ACM TOMS Algorithm 757 is available through ACM: or NETLIB:

The version displayed here has been converted to FORTRAN90, and other internal changes have been made to suit me.


TOMS757 is available in a FORTRAN77 version and a FORTRAN90 version.

Related Data and Programs:

TEST_VALUES, a FORTRAN90 library which contains routines which store selected values of various special functions.


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


  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:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN90 source codes.

Last revised on 03 January 2006.