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

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.