Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications

Abstract

In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of these newly defined functions. We also give some applications of these functions to statistical distribution theory.

On Some Inequalities for the Chaudhry-Zubair Extension of the Gamma Function

“…The Chaudhry-Zubair extension of the gamma function has attracted the attention of several researchers and it has be investigated in diverse ways (see [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], and the related references therein).…”