On a (p,k)-analogue of the Gamma function and some associated Inequalities
, and | Feb 04, 2017
About this article
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
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.