Bounds for the Ratio of Two Gamma Functions

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


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
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
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
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