Two Parameter Gamma Function and its Properties

Abstract: In this paper we introduce the Two Parameter Gamma Function, Beta Function and Pochhammer Symbol. We named them, as p - k Gamma Function, p - k Beta Function and p - k Pochhammer Symbol and denoted as ${p}\Gamma{k}(x), $ ${p}B{k}(x,y) $ and ${p}(x){n,k} $ respectively. We prove the several identities for ${p}\Gamma{k}(x), $ ${p}B{k}(x,y) $ and ${p}(x){n,k} $ those satisfied by the classical Gamma, Beta and Pochhammer Symbol. Also we provide the integral representation for the ${p}\Gamma{k}(x) $ and ${p}B{k}(x,y) $.