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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Verma et al. (2024) studied this question.
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