Generalizations of Guillera-Sondow's double integral formulas

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dc.creatorZlobin, Sergey
dc.date2006-06-13
dc.date2006-08-19
dc.date.accessioned2026-07-07T07:17:13Z
dc.date.available2026-07-07T07:17:13Z
dc.descriptionWe evaluate certain multidimensional integrals in terms of the Lerch transcendent function $Φ$, generalizing Guillera-Sondow's formulas. As an application, we get new representations of classical constants like Euler's constant $γ$ and $\ln(4/π)$.
dc.descriptionv2: typos corrected; v3: minor corrections/changes to wording
dc.identifierhttps://arxiv.org/abs/math/0606287
dc.identifierhttp://arxiv.org/abs/math/0606287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113860
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11M35; 11Y60; 33B15
dc.titleGeneralizations of Guillera-Sondow's double integral formulas
dc.typetext

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