Properties of k-beta function with several variables

Abstract

In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γ k (2z) proved by Kokologiannaki [5] via properties of k-beta function.