Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641657 | Journal of Computational and Applied Mathematics | 2009 | 6 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Feng Qi,