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Bounds for the Ratio of Two Gamma Functions

Qi, Feng (2008) Bounds for the Ratio of Two Gamma Functions. Research report collection, 11 (3).

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Abstract

By looking back at the long history of bounding the ratio (Γ(x+a))/(Γ(x+b)) for x > - min {a, b} and a, b Є R, various origins of this topic are clarified, several developed courses are followed, different results are compared, useful methods are summarized, new advances are presented, some related problems are pointed out, and related references are collected.

Item Type: Article
Uncontrolled Keywords: bound, inequality, ratio of two gamma functions, psi function, polygamma function, divided difference, monotonicity, logarithmic convexity, completely monotonic function, logarithmically completely monotonic function, refinement, extension, generalization, exponential function, transform
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: 10 Feb 2012 00:08
Last Modified: 23 May 2013 16:55
URI: http://vuir.vu.edu.au/id/eprint/18389
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