Fractional operators for the Wright hypergeometric matrix functions

[摘要] 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.

[学科分类] 航空航天科学

[关键词] Wright hypergeometric matrix function;Fractional integral and differential operators;Matrix recurrence relation;Integral formulae