A study of generalized hypergeometric Matrix functions <i>via</i> two-parameter Mittag–Leffler matrix function

Abstract The main aim of this article is to study a new generalizations the Gauss hypergeometric matrix and confluent functions by using two-parameter Mittag–Leffler function. In particular, we investigate certain important properties these extended such as integral representations, differentiation formulas, beta transform, Laplace transform. Furthermore, introduce an extension Jacobi orthogonal polynomial our generalized function, which very in scattering theory inverse theory.