On some integrals involving the Hurwitz zeta function: part 2

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We establish a series of indefinite integral formulae involving the Hurwitz zeta function and other elementary and special functions related to it, such as the Bernoulli polynomials, ln sin (πq), ln Gamma(q) and the polygamma functions. Many of the results are most conveniently formulated in terms of a family of functions A_k(q):=k zeta'(1-k,q), where k is a natural number, and a family of polygamma functions of negative order, whose properties we study in some detail.
17 pages, AMS-LaTeX

Keywords

Classical Analysis and ODEs, Mathematical Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/173553

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107082
 http://arxiv.org/abs/math/0107082
 THE RAMANUJAN JOURNAL, 6, 449-468, 2002

Collections

arXiv