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Cambridge University Press, Bulletin of the Australian Mathematical Society, 2(88), p. 309-319, 2013

DOI: 10.1017/s0004972712001025

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COMPLETE MONOTONICITY OF a FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS

Journal article published in 2013 by Feng Qi ORCID, Pietro Cerone, Sever S. Dragomir
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

AbstractNecessary and sufficient conditions are presented for a function involving the divided difference of the psi function to be completely monotonic and for a function involving the ratio of two gamma functions to be logarithmically completely monotonic. From these, some double inequalities are derived for bounding polygamma functions, divided differences of polygamma functions, and the ratio of two gamma functions.