Title

Completely monotonic functions involving the gamma and q-gamma functions

Authors

Authors

A. Z. Grinshpan;M. E. H. Ismail

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Proc. Amer. Math. Soc.

Keywords

Gamma function; q-gamma function; completely monotonic functions; inequalities; HARMONIC MEAN INEQUALITY; Mathematics, Applied; Mathematics

Abstract

We give an infinite family of functions involving the gamma function whose logarithmic derivatives are completely monotonic. Each such function gives rise to an infinitely divisible probability distribution. Other similar results are also obtained for specific combinations of the gamma and q-gamma functions.

Journal Title

Proceedings of the American Mathematical Society

Volume

134

Issue/Number

4

Publication Date

1-1-2006

Document Type

Article

DOI Link

http://dx.doi.org/10.1090/s0002-9939-05-08050-0

Language

English

First Page

1153

Last Page

1160

WOS Identifier

WOS:000236100700029

ISSN

0002-9939

Recommended Citation

"Completely monotonic functions involving the gamma and q-gamma functions" (2006). Faculty Bibliography 2000s. 6181.
https://stars.library.ucf.edu/facultybib2000/6181