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General solution of the consistency equation

✍ Scribed by Michel Dubois-Violette; Marc Henneaux; Michel Talon; Claude-Michel Viallet

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 478 KB
Volume: 289
Category: Article
ISSN: 0370-2693
DOI: 10.1016/0370-2693(92)91232-x

No coin nor oath required. For personal study only.

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In this paper, the hypergeometric matrix differential equation z( 1 -t)W" -zAW' + W'(C -z(B + I)) -AWB = 0 is studied. First it is proved that if matrix C is invertible and no negative integer is one of its eigenvalues, then the hypergeometric matrix function F(A, B; C; z) is an analytic solution in