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2003 Monodromy groups of hypergeometric functions satisfying algebraic equations
Mitsuo Kato, Masatoshi Noumi
Tohoku Math. J. (2) 55(2): 189-205 (2003). DOI: 10.2748/tmj/1113246938

Abstract

The solutions of the algebraic equation $y^{mn}+x y^{mp}-1=0$ with $n>p$ and $m\geq 2$ satisfy a generalized hypergeometric differential equation with imprimitive finite irreducible monodromy group. Thanks to this fact, we can determine the monodromy group and the Schwarz map of the differential equation.

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Mitsuo Kato. Masatoshi Noumi. "Monodromy groups of hypergeometric functions satisfying algebraic equations." Tohoku Math. J. (2) 55 (2) 189 - 205, 2003. https://doi.org/10.2748/tmj/1113246938

Information

Published: 2003
First available in Project Euclid: 11 April 2005

zbMATH: 1148.33301
MathSciNet: MR1979496
Digital Object Identifier: 10.2748/tmj/1113246938

Subjects:
Primary: 33C20
Secondary: 34M35

Keywords: generalized binomial function , hypergeometric function , monodromy group

Rights: Copyright © 2003 Tohoku University

Vol.55 • No. 2 • 2003
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