Ashish Verma, Komal Singh Yadav, Raj Karan Patel
In this paper, we define the incomplete fourth Appell hypergeometric matrix functions $\gamma_{4}$ and $\Gamma_{4}$ 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 $\gamma_{4}$ and $\Gamma_{4}$, where not all the matrices involved are commuting matrices.
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