January, 2022 Lauricella's $F_C$ with finite irreducible monodromy group
Yoshiaki GOTO
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J. Math. Soc. Japan 74(1): 151-175 (January, 2022). DOI: 10.2969/jmsj/83498349

Abstract

This paper presents our study of the conditions under which the monodromy group for Lauricella's hypergeometric function $F_C (a,b,c;x)$ is finite irreducible. We provide these conditions in terms of the parameters $a, b, c$. In addition, we discuss the structure of the finite irreducible monodromy group.

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Yoshiaki GOTO. "Lauricella's $F_C$ with finite irreducible monodromy group." J. Math. Soc. Japan 74 (1) 151 - 175, January, 2022. https://doi.org/10.2969/jmsj/83498349

Information

Received: 11 October 2019; Revised: 11 July 2020; Published: January, 2022
First available in Project Euclid: 4 May 2021

MathSciNet: MR4370464
zbMATH: 1504.33012
Digital Object Identifier: 10.2969/jmsj/83498349

Subjects:
Primary: 33C65
Secondary: 32S40

Keywords: Lauricella's $F_C$ , monodromy group , reflection subgroup

Rights: Copyright ©2022 Mathematical Society of Japan

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Vol.74 • No. 1 • January, 2022
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