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arXiv · 2506.19867

Infinite integrals in terms of series

Robert Reynolds
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Abstract

In this work we derive and evaluate some infinite integrals involving the product of a generalized logarithm and polynomial functions in the denominator. These integrals are expressed in terms of finite series involving the Hurwitz-Lerch zeta function. We produce special cases of these integrals in terms of other special functions and fundamental constants.

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Robert Reynolds. 2025-06-11. Infinite integrals in terms of series. https://arxiv.org/abs/2506.19867

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