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Extended Gauss hypergeometric matrix functions. (English) Zbl 1397.33002

Summary: An extension of the Beta matrix function by introducing an extra matrix parameter is applied here to extend the Gauss and Kummer hypergeometric matrix functions. Since the latter matrix functions contain several of the familiar special matrix functions as sub-cases. It is expected that our extension is useful. Moreover, some properties of the extended Gauss and Kummer hypergeometric matrix functions are derived.

MSC:

33B15 Gamma, beta and polygamma functions
33C20 Generalized hypergeometric series, \({}_pF_q\)
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