Published 2025-02-09
DOI:
https://doi.org/10.71712/mryc-b928Keywords
- Lerch zeta function,
- Cauchy integral,
- denite integral,
- loggamma
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Reynolds, R. . (2025). A note on the Hurwitz-Lerch zeta function. Scientia Series A: Mathematical Sciences, 36, 139-170. https://doi.org/10.71712/mryc-b928
Abstract
In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with de nite 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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