Some gamma function inequalities-Reference-Cited by-同舟云学术

Some gamma function inequalities

Published:1993 Issue:201 Volume:60 Page:337-346
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Alzer Horst

Abstract

A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio Γ ( x + 1 ) / Γ ( x + s ) \Gamma (x + 1)/\Gamma (x + s) are obtained and compared with related bounds given in part by J. D. Kečkić and P. M. Vasić. Our results are further applied to obtain functions which are Laplace transforms of infinitely divisible probability measures.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1993-60-201/S0025-5718-1993-1149288-7/S0025-5718-1993-1149288-7.pdf

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