Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

Abstract

The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.

Keywords

• matrix functional calculus
• Mittag-Leffler matrix function
• Gamma matrix function
• Beta matrix function