Extension of complete monotonicity results involving the digamma function-Reference-Cited by-同舟云学术

Extension of complete monotonicity results involving the digamma function

Published:2018-12-01 Issue:2 Volume:4 Page:207-212
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Nantomah Kwara¹

Affiliation:

1. Department of Mathematics, Faculty of Mathematical Sciences , University for Development Studies , Navrongo Campus, P. O. Box 24, Navrongo , UE/R, Ghana .

Abstract

Abstract By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function. As special cases of the established results, we deduce some new results concerning the p-digamma and the k-digamma functions. Our results are extensions of some previous results due to Qiu and Vuorinen, Mortici, and Merovci.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference27 articles.

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