Infinite integrals in terms of series
General Mathematics
2025-12-01 v5
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.
Keywords
Cite
@article{arxiv.2506.19867,
title = {Infinite integrals in terms of series},
author = {Robert Reynolds},
journal= {arXiv preprint arXiv:2506.19867},
year = {2025}
}