On the incomplete fourth Appell hypergeometric matrix functions Υ₄ and Γ₄
DOI:
https://doi.org/10.22199/issn.0717-6279-5891Keywords:
matrix functional calculus, recursion formula, gamma matrix function, incomplete gamma matrix function, incomplete Pochhammer matrix symbol, Bessel and modified Bessel matrix functionAbstract
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.
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