A Class of Completely Monotonic Functions Involving Divided Differences of the Psi and Polygamma Functions and Some Applications

Abstract

A class of functions involving the divided differences of the psi function and the polygamma functions and originating from Kershaw’s double inequality are proved to be completely monotonic. As applications of these results, the monotonicity and convexity of a function involving ratio of two gamma functions and originating from establishment of the best… (More)

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@inproceedings{Qi2009ACO, title={A Class of Completely Monotonic Functions Involving Divided Differences of the Psi and Polygamma Functions and Some Applications}, author={Feng Qi}, year={2009} }