Research Article

Moroccan Journal of Pure and Applied Analysis

, 2:6

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

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

  • K. NantomahAffiliated withDepartment of Mathematics, University for Development Studies Email author 
  • , E. PrempehAffiliated withDepartment of Mathematics, Kwame Nkrumah University of Science and Technology
  • , S. B. TwumAffiliated withDepartment of Mathematics, Kwame Nkrumah University of Science and Technology

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.

Key words and phrases

Gamma function (p; k)-analogue inequality