IRREDUCIBILITY AND REDUCIBILITY OF LAURICELLA' S SYSTEM OF DIFFERENTIAL EQUATIONS ED AND THE JORDAN-POCHHAMMER DIFFERENTIAL EQUATION EJP

DOI10.2206/kyushujm.66.61zbMath1259.33025OpenAlexW2168951787MaRDI QIDQ4904978

Katsuhisa Mimachi, Takeshi Sasaki

Publication date: 14 February 2013

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.66.61

zbMATH Keywords

hypergeometric integralsmonodromy representationsJordan-Pochhammer equationLauricella's \(F_D\)irreducibility of the monodromy group

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

The irreducibility of the monodromy representation associated with the Dotsenko-Fateev equation ⋮ Cubic modular equations in two variables ⋮ Rational reductions of the 2D-Toda hierarchy and mirror symmetry ⋮ Triangular Schlesinger systems and superelliptic curves ⋮ Crepant resolutions and open strings

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