Open Access
2006 On confluences of general hypergeometric systems
Hironobu Kimura, Kyoichi Takano
Tohoku Math. J. (2) 58(1): 1-31 (2006). DOI: 10.2748/tmj/1145390204

Abstract

We extend the well-known results about the process of confluence for the Gauss hypergeometric differential equation to the case of general hypergeometric systems. We see that the process of confluence comes from the geometry of the set of regular elements of the Lie algebra of complex general linear group. As a consequence, we give a geometric and group-theoretic view on the process of confluence for classical special functions.

Citation

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Hironobu Kimura. Kyoichi Takano. "On confluences of general hypergeometric systems." Tohoku Math. J. (2) 58 (1) 1 - 31, 2006. https://doi.org/10.2748/tmj/1145390204

Information

Published: 2006
First available in Project Euclid: 18 April 2006

zbMATH: 1102.33013
MathSciNet: MR2221790
Digital Object Identifier: 10.2748/tmj/1145390204

Subjects:
Primary: 33C70
Secondary: 33C15

Keywords: Confluence , Hypergeometric system , regular element , stratification

Rights: Copyright © 2006 Tohoku University

Vol.58 • No. 1 • 2006
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