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Inspired by certain interesting recent extensions of the gamma, beta andhypergeometric matrix functions, we introduce here new extension of the gammaand beta matrix function. We also introduce new extensions of the Gausshypergeometric matrix function, confluent hypergeometric matrix function,Appell matrix function and Lauricella matrix function of three variables interms of the new extended beta matrix function. Then we investigate certainproperties of these extended matrix functions such as the integralrepresentations, differential formulae and recurrence relations.

On the matrix version of new extended Gauss, Appell and Lauricella hypergeometric functions