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


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.

DOI Code: 10.1285/i15900932v39n1p107

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

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