English

A note on the Hurwitz-Lerch zeta function

General Mathematics 2024-11-19 v2

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.

Keywords

Cite

@article{arxiv.2411.04161,
  title  = {A note on the Hurwitz-Lerch zeta function},
  author = {Robert Reynolds},
  journal= {arXiv preprint arXiv:2411.04161},
  year   = {2024}
}
R2 v1 2026-06-28T19:50:32.380Z