A generalized polygamma function

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dc.creatorEspinosa, Olivier
dc.creatorMoll, Victor H.
dc.date2003-05-05
dc.date.accessioned2026-07-07T10:16:35Z
dc.date.available2026-07-07T10:16:35Z
dc.descriptionWe study the properties of a function $ψ(z, q)$ (the generalized polygamma function), intimately connected with the Hurwitz zeta function and defined for complex values of the variables $z$ and $q$, which is entire in the variable $z$ and reduces to the usual polygamma function $ψ^{(m)}(q)$ for $z$ a non-negative integer $m$, and to the balanced negapolygamma function $ψ^{(-m)}(q)$ for $z$ a negative integer $-m$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0305079
dc.identifierhttp://arxiv.org/abs/math/0305079
dc.identifierIntegral Transforms and Special Functions 15 (2004) 101-115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173554
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subject33B99, 11M35
dc.titleA generalized polygamma function
dc.typetext

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