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

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.

Keywords

• gamma function
• (p
• k)-analogue
• inequality