Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals
Classical Analysis and ODEs
2016-10-10 v1 Complex Variables
Abstract
We introduce a new technique for evaluation of series with zeta coefficients and also for evaluation of certain integrals involving the logGamma function. This technique is based on Hankel integral representations of the Hurwitz zeta, the Lerch Zeta, the Digamma and logGamma functions.
Keywords
Cite
@article{arxiv.math/0606173,
title = {Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals},
author = {Khristo N. Boyadzhiev},
journal= {arXiv preprint arXiv:math/0606173},
year = {2016}
}