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On a (p,k)-analogue of the Gamma function and some associated Inequalities Cover

On a (p,k)-analogue of the Gamma function and some associated Inequalities

By: K. Nantomah,  E. Prempeh and  S. B. Twum  
Open Access
|Feb 2017

Abstract

In this paper, we introduce a new two-parameter deformation of the classical Gamma function, which we call a (p,k)-analogue of the Gamma function. We also provide some identities generalizing those satisfied by the classical Gamma function. Furthermore, we establish some inequalities involving this new function.

Language: English
Page range: 79 - 90
Submitted on: Feb 20, 2016
Accepted on: Jun 8, 2016
Published on: Feb 4, 2017
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 K. Nantomah, E. Prempeh, S. B. Twum, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.