Complete elliptic integrals resulting from infinite integrals of Bessel functions .II.

Abstract

This table is primarily intended for applied mathematicians, physicists and engineers faced with the problem of evaluating infinite integrals involving Bessel functions. In a previous paper,l infinite integrals of Bessel functions and their products were compiled in conveniently closed form. In this paper, a table is prepared for those involving products of Bessel and trigonometric or hyperbolic functions. It also contains certain kinds of infinite double integrals of modified Bessel functions, which are often encountered especially in the fields of signal statistics and noise theory. Throughout this paper, the parameters are usually positive real and notations occurring several times on a section are explained at the top of the section.