On the incomplete fourth Appell hypergeometric matrix functions γ4 and Γ4.

In this paper, we define the incomplete fourth Appell hypergeometric matrix functions Υ4 and Γ4 through application of the incomplete Pochhammer matrix symbols. We also give certain properties such as matrix differential equation, integral formula, recursion formula, differentiation formula of the incomplete fourth Appell hypergeometric matrix functions Υ4 and Γ4, where not all the matrices involved are commuting matrices. [ABSTRACT FROM AUTHOR]