The monodromy group and the reducibility conditions of the one dimensional section of Appell's hypergeometric equation for \(F_3(\alpha,\alpha,\beta,\beta,\gamma ;x,y)\)

DOI10.3792/pjaa.54.59zbMath0421.33010OpenAlexW2047747644MaRDI QIDQ1133010

Takao Sasai

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.59

zbMATH Keywords

monodromy groupAppell's hypergeometric functionsystem of partial differential equation for Appell's hypergeometric function F3

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• On a monodromy group and irreducibility conditions of a fourth order Fuchsian differential system of Okubo type.
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