ON THE EXTENDED WRIGHT HYPERGEOMETRIC MATRIX FUNCTION AND ITS PROPERTIES.

Recently, Bakhet et al. [9] presented the Wright hypergeometric matrix function 2R(τ) 1 (A,B;C; z) and derived several properties. Abdalla [6] has since applied fractional operators to this function. In this paper, with the help of the generalized Pochhammer matrix symbol (A;B)n and the generalized beta matrix function B(P,Q;X), we introduce and study an extended form of the Wright hypergeometric matrix function, 2R(τ) 1 ((A;A),B;C; z;X). We establish several potentially useful results for this extended form, such as integral representations and fractional derivatives. We also derive some properties of the corresponding incomplete extendedWright hypergeometric matrix function. [ABSTRACT FROM AUTHOR]