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arXiv · 2411.04161

A note on the Hurwitz-Lerch zeta function

Robert Reynolds
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Abstract

In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced.

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Robert Reynolds. 2024-11-06. A note on the Hurwitz-Lerch zeta function. https://arxiv.org/abs/2411.04161

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