Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals

Details Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals

2006-06-08

arxiv.org/abs/math/0606173v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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