descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986Publisher:JSTORJournal:Mathematics of Computation, volume 47, page 659 (issn: 0025-5718,

Authors: Bustoz, Joaquin; Ismail, Mourad E. H.;

doi: 10.2307/2008180 , 10.1090/s0025-5718-1986-0856710-6

On Gamma Function Inequalities

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Abstract

We show that certain functions involving quotients of gamma functions are completely monotonic. This leads to inequalities involving gamma functions. We also establish the infinite divisibility of several probability distributions whose Laplace transforms involve quotients of gamma functions.

Keywords

Other analytical inequalities, inequalities, Laplace transforms, gamma functions, Gamma, beta and polygamma functions

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