Integrating products of Bessel functions with an additional exponential or rational factor

Abstract
We provide two Matlab programs to compute integrals of the formunderover(∫, 0, ∞) e
^(- c x)x
^munderover(∏, i = 1, k) J
_(νi)(a
_ix) d x and underover(∫, 0, ∞) frac(x
^m , r
^2+ x
^2 ) underover(∏, i = 1, k) J
_(νi)(a
_ix) d x with J
_(νi)...

Title of program: BESSELINTR, BESSELINTC
Catalogue Id: AEAH_v1_0

Nature of problem
The problem consists in integrating an arbitrary product of Bessel functions with an additional rational or exponential factor over a semi-infinite interval. Difficulties arise from the irregular oscillatory behaviour and the possible slow decay of the integrand, which prevents truncation at a finite point.

Versions of this program held in the CPC repository in Mendeley Data
AEAH_v1_0; BESSELINTR, BESSELINTC; 10.1016/j.cpc.2007.11.010

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)