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April, 2021 Lauricella's $F_C$ with finite irreducible monodromy group
Yoshiaki GOTO
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J. Math. Soc. Japan Advance Publication 1-25 (April, 2021). 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 Advance Publication 1 - 25, April, 2021. https://doi.org/10.2969/jmsj/83498349

Information

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

Digital Object Identifier: 10.2969/jmsj/83498349

Subjects:
Primary: 33C65
Secondary: 32S40

Rights: Copyright © 2021 Mathematical Society of Japan

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