Complete monotonicity involving some ratios of gamma functions

Abstract In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic. As consequences, these not only unify and impr...

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Bibliographic Details
Main Authors: Zhen-Hang Yang, Shen-Zhou Zheng
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1527-4