<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R,

Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi,

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On a (p,k)-analogue of the Gamma function and some associated Inequalities"}

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...

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

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 79 - 90

Received: Feb 20, 2016

Accepted: Jun 08, 2016

DOI: https://doi.org/10.7603/s40956-016-0006-0

Keywords
Gamma function, (p, k)-analogue, inequality

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 79 - 90

Received: Feb 20, 2016

Accepted: Jun 08, 2016

DOI: https://doi.org/10.7603/s40956-016-0006-0

KeywordsGamma function, (p, k)-analogue, inequality

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Gamma function, (p, k)-analogue, inequality