Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic

2007/10/22 by Senlin Guo, Feng Qi, H. M. Srivastava · 1 citation
Mathematics · #Applied mathematics #Calculus (dental) #Differential Equations and Boundary Problems #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Monotonic function #Pure mathematics

paper · doi:10.1080/10652460701528933

openalex publication_date 2007/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

In this article, necessary and sufficient conditions under which two classes of functions are, respectively, logarithmically completely monotonic and completely monotonic are presented. From these conditions, several two-sided inequalities for the ratio of two gamma functions are deduced.

Citations

• Formulas and Theorems for the Special Functions of Mathematical Physics

Cited by

• Gautschi's inequality [wikipedia]

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