Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

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dc.creatorKoumandos, Stamatis
dc.creatorPedersen, Henrik L.
dc.date2008-11-18
dc.date2009-02-18
dc.date.accessioned2026-07-07T12:42:45Z
dc.date.available2026-07-07T12:42:45Z
dc.descriptionWe introduce completely monotonic functions of order $r>0$ and show that the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function give rise to completely monotonic functions of any positive integer order.
dc.description13 pages, to appear in Journal of Mathematical Analysis and Applications
dc.identifierhttps://arxiv.org/abs/0811.2870
dc.identifierhttp://arxiv.org/abs/0811.2870
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220184
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject33B15; 41A60
dc.titleCompletely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
dc.typetext

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