On some integrals involving the Hurwitz zeta function: part 2

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dc.creatorEspinosa, Olivier R.
dc.creatorMoll, Victor H.
dc.date2001-07-11
dc.date.accessioned2026-07-07T10:16:35Z
dc.date.available2026-07-07T10:16:35Z
dc.descriptionWe 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.
dc.description17 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/0107082
dc.identifierhttp://arxiv.org/abs/math/0107082
dc.identifierTHE RAMANUJAN JOURNAL, 6, 449-468, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173553
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.titleOn some integrals involving the Hurwitz zeta function: part 2
dc.typetext

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