Numerical Hankel transform by the Fortran program HANKEL

Transactions on Mathematical Software (TOMS) vol. 25, p. 240-250 06/1999;

ABSTRACT The numerical evaluation of the Hankel transform poses the problems of both infinite
integration and Bessel function calculation. Using the corresponding numerical program
routines from the literature, a Fortran program has been written to perform the Hankel
transform for real functions, given either in analytical form as subroutines or in discrete form as tabulated data.

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    ABSTRACT: . This document is an excerpt from the current hypertext version of an article that appeared in Walter Gautschi (ed.), Mathematics of Computation 1943--1993: A Half-Century of Computational Mathematics, Proceedings of Symposia in Applied Mathematics 48, American Mathematical Society, Providence, RI 02940, 1994. The symposium was held at the University of British Columbia August 9--13, 1993, in honor of the fiftieth anniversary of the journal Mathematics of Computation. The original abstract follows. Higher transcendental functions continue to play varied and important roles in investigations by engineers, mathematicians, scientists and statisticians. The purpose of this paper is to assist in locating useful approximations and software for the numerical generation of these functions, and to offer some suggestions for future developments in this field. 5.11. Polylogarithms (Generalized). 5.11.1. Real Variables. Software Packages: [KMR70, Algol]. 5.11.2. Articles. [Bar74]. References ...