Fractional operators for the Wright hypergeometric matrix functions

Abstract

Abstract In this paper, we contribute to the results of Bakhet et al. (Integral Transforms Spec. Funct. 30:138–156, 2019) by applying fractional operators to the Wright hypergeometric matrix functions. We give matrix recurrence relations and integral formulas for the Wright hypergeometric matrix functions. We also clarify particular cases of the main results.

Keywords

• Wright hypergeometric matrix function
• Fractional integral and differential operators
• Matrix recurrence relation
• Integral formulae