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On the hypergeometric matrix function

✍ Scribed by L. Jódar; J.C. Cortés

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
492 KB
Volume
99
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper deals with the study of the hypergeometric function with matrix arguments F(A,B;C;z). Conditions for matrices A, B, C so that the series representation of the hypergeometric function be convergent for Jz I = 1 and satisfies a matrix differential equation are given. After the study of beta and gamma matrix functions, an integral representation of F(A,B; C;z) is obtained for the case where B, C and C-B are positive stable matrices with BC = CB.

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