Monodromy group of Appell's system (\(F_ 4)\)

DOI10.3836/tjm/1270215739zbMath0474.33010OpenAlexW1991092700MaRDI QIDQ1159307

Jyoichi Kaneko

Publication date: 1981

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

Full work available at URL: https://doi.org/10.3836/tjm/1270215739

zbMATH Keywords

integral representationmonodromy groupAppell's hypergeometric function F4

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (11)

Integrals of three Bessel functions and Legendre functions. I ⋮ Monodromy of \(A\)-hypergeometric functions ⋮ The fundamental group of the complement of the singular locus of Lauricella's F_C ⋮ On vanishing of the twisted rational de Rham cohomology associated with hypergeometric functions ⋮ The structure of a local system associated with a hypergeometric system of rank 9 ⋮ Monodromy representations of hypergeometric systems with respect to fundamental series solutions ⋮ A system of hypergeometric differential equations in two variables of rank 9 ⋮ On the Regge-Gelfand problem of construction of a Pfaff system of Fuchsian type with a given singular divisor ⋮ The singular locus of Lauricella's \(F_C\) ⋮ The monodromy representation and twisted period relations for Appell’s hypergeometric function F₄ ⋮ Picard–Fuchs equations and Whitham hierarchy in N=2 supersymmetric SU(r+1) Yang–Mills theory

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