<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

Publié en ligne: 04 févr. 2017

Pages: 79 - 90

Reçu: 20 févr. 2016

Accepté: 08 juin 2016

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

Mots clés
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

Publié en ligne: 04 févr. 2017

Pages: 79 - 90

Reçu: 20 févr. 2016

Accepté: 08 juin 2016

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

Mots clésGamma function, (p, k)-analogue, inequality

© 2017

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

Mots clés
Gamma function, (p, k)-analogue, inequality