Complete monotonicity of divided differences of the di- and tri-gamma functions with applications-Reference-Cited by-同舟云学术

Complete monotonicity of divided differences of the di- and tri-gamma functions with applications

Published:2016-01-01 Issue:2 Volume:23 Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Qi Feng^ORCID,Guo Bai-Ni^ORCID

Abstract

AbstractIn the paper, we establish necessary and sufficient conditions for two families of functions involving divided differences of the di- and tri-gamma functions to be completely monotonic. Consequently, we derive necessary and sufficient conditions for two families of functions involving the ratio of two gamma functions to be logarithmically completely monotonic. Furthermore, we deduce some inequalities for bounding the ratio of two gamma functions and divided differences of polygamma functions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/view/j/gmj.2016.23.issue-2/gmj-2016-0004/gmj-2016-0004.pdf

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