A matlab implementation of an algorithm for computing integrals of products of bessel functions

Authors:
Joris Van Deun;Ronald Cools
Affiliations:
Dept. of Computer Science, K.U. Leuven, Leuven, Belgium;Dept. of Computer Science, K.U. Leuven, Leuven, Belgium
Venue:
ICMS'06 Proceedings of the Second international conference on Mathematical Software
Year:
2006

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Abstract

We present a Matlab program that computes infinite range integrals of an arbitrary product of Bessel functions of the first kind. The algorithm uses an integral representation of the upper incomplete Gamma function to integrate the tail of the integrand. This paper describes the algorithm and then focuses on some implementation aspects of the Matlab program. Finally we mention a generalisation that incorporates the Laplace transform of a product of Bessel functions.