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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality

Qi, Feng and Guo, Bai-Ni (2007) A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality. Research report collection, 10 (2).

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Abstract

In the article, the sufficient and necessary conditions such that a class of functions which involve the psi function ψ and the ratio (Γ(x+t))/(Γ(x+s)) are logarithmically completely monotonic are established, the best bounds for the ratio (Γ(x+t))/(Γ(x+s)) are given, and some comparisons with known results are carried out, where s and t are two real numbers and x > - min {s,t}.

Item Type: Article
Uncontrolled Keywords: logarithmically completely monotonic function, the second Kershaw's double inequality, best bound, gamma function, psi function, comparison
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 11 Feb 2012 04:24
Last Modified: 23 May 2013 16:55
URI: http://vuir.vu.edu.au/id/eprint/18364
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