On a (p,k)-analogue of the Gamma function and some associated Inequalities
, und | 04. Feb. 2017
Über diesen Artikel
Article Category: Research Article
Online veröffentlicht: 04. Feb. 2017
Seitenbereich: 79 - 90
Eingereicht: 20. Feb. 2016
Akzeptiert: 08. Juni 2016
DOI: https://doi.org/10.7603/s40956-016-0006-0
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© 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.