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Closed form general solution of the hypergeometric matrix differential equation. (English) Zbl 0985.33006

The authors have studied hypergeometric matrix differential equation and its connection with the hypergeometric matrix function. Some properties about hypergeometric matrix function such as invertibility, error bounds for its truncated series expansion and bounds for its inverse and its derivative in terms of the date are given.

MSC:

33C47 Other special orthogonal polynomials and functions
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