On Defining the $(p,q,k)$-Generalized Gamma Function

Authors

  • Inci Ege

DOI:

https://doi.org/10.1285/i15900932v39n1p107

Keywords:

Gamma function, $q$-integral, $(p, q, k)$-generalized gamma function, k)$-generalized Pocchammer symbol, inequality

Abstract

In this paper, we introduce a $(p,q,k)$-generalization of the gamma function and investigate some basic identities and properties. Further, we define a $q$-integral representation for this function. As an application, we give some double inequalities concerning the $(p,q,k)$-generalized gamma function by using of its $q$-integral representation.

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Published

17-09-2019

Issue

Volume 39, Issue 1 (2019)

Section

Articoli

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