Complete Monotonicity and Inequalities of Functions Involving Γ-function

2017/05/28 by Mohammadkheer Al-Jararha, Al-Jararha, M.
Mathematics · #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.1706.01971

Abstract

In this paper, we investigate the complete monotonicity of some functions involving gamma function. Using the monotonic properties of these functions, we derived some inequalities involving gamma and beta functions. Such inequalities arising in probability theory.

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