Two Parameter Gamma Function and its Properties

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 $_{p}B_{k}(x,y)$.