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arXiv · 2502.14876

Definite integrals involving Bessel functions expressed as a series of special functions

Robert Reynolds
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Abstract

Series involving hypergeometric functions are used to derive, extend and evaluate integrals involving the product of two Bessel functions of the first kind $J_{u}(a z)$ $J_{v}(b z)$ with order $u,v$, studied by Landau et al. The method used in this work is contour integration.

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Robert Reynolds. 2025-02-03. Definite integrals involving Bessel functions expressed as a series of special functions. https://arxiv.org/abs/2502.14876

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