On the incomplete second Appell hypergeometric matrix functions

In this paper, we introduce the incomplete second Appell hypergeometric matrix functions in terms of the incomplete Pochhammer matrix symbols. We also derive certain properties such as matrix differential equation, integral formula, recurrence relation, recursion formula and differentiation formula of the incomplete second Appell hypergeometric matrix functions. This enriches the theory of special matrix functions. The results listed here are believed to be new.

Automated summary

This paper introduces the incomplete second Appell hypergeometric matrix functions and their properties, enriching the theory of special matrix functions. The results presented are believed to be new.