On some families of integrals solvable in terms of polygamma and negapolygamma functions

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dc.creatorBoros, George
dc.creatorEspinosa, Olivier
dc.creatorMoll, Victor H.
dc.date2003-05-09
dc.date.accessioned2026-07-07T10:16:35Z
dc.date.available2026-07-07T10:16:35Z
dc.descriptionBeginning with Hermite's integral representation of the Hurwitz zeta function, we derive explicit expressions in terms of elementary, polygamma, and negapolygamma functions for several families of integrals of the type $\int_0^\infty f(t)K(q,t)dt$ with kernels $K(q,t)$ equal to $(e^{2πq t}-1)^{-1}$, $(e^{2πq t}+1)^{-1}$, and $(\sinh(2πq t)^{-1}$.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0305131
dc.identifierhttp://arxiv.org/abs/math/0305131
dc.identifierIntegral Transforms and Special Functions, 14 (2003) 187-203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173555
dc.subjectClassical Analysis and ODEs
dc.subject33B99, 11M35
dc.titleOn some families of integrals solvable in terms of polygamma and negapolygamma functions
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