On gamma function inequalities

Authors:
Joaquin Bustoz and Mourad E. H. Ismail

Journal:
Math. Comp. **47** (1986), 659-667

MSC:
Primary 33A15; Secondary 26D20

DOI:
https://doi.org/10.1090/S0025-5718-1986-0856710-6

MathSciNet review:
856710

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1986-0856710-6

Keywords:
Gamma function,
psi function,
complete monotonicity,
inequalities,
infinite divisibility,
Laplace transform

Article copyright:
© Copyright 1986
American Mathematical Society