Article ID Journal Published Year Pages File Type
4641657 Journal of Computational and Applied Mathematics 2009 6 Pages PDF
Abstract

In this article, the logarithmically complete monotonicity of the function [Γ(x+b)Γ(x+a)]1/(a−b)exp[ψ(x+c)] are discussed, where a,b,ca,b,c are real numbers and Γ is the classical Euler’s gamma function. From this, the best upper and lower bounds for Walls’ ratio Γ(x+1)Γ(x+s) are established, which refine the second Gautschi–Kershaw’s inequality.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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