Nakagiri's Monodromy Representations Associated with Appell's Hypergeometric Functions <i>F</i>₂ and <i>F</i>₃

DOI10.1619/fesi.60.77zbMath1384.33027OpenAlexW2605651326MaRDI QIDQ4601267

Katsuhisa Mimachi

Publication date: 12 January 2018

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.60.77

zbMATH Keywords

hypergeometric integralscycleschainsirreducibilitytwisted homologyAppell's hypergeometric functionsAppell's function \(F_3\)Appell's function \(F_2\)auxiliary integralsNakagiri's monodromy representations

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) 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) Monodromy on manifolds (58K10)

Related Items (3)

The irreducibility of the monodromy representation associated with the Dotsenko-Fateev equation ⋮ INTEGRAL REPRESENTATIONS OF APPELL'S <i>F</i>₂, <i>F</i>₃, HORN'S <i>H</i>₂ AND OLSSON'S <i>F_P</i> FUNCTIONS ⋮ CONNECTION FORMULAS RELATED WITH APPELL'S <i>F</i>₂, HORN'S <i>H</i>₂AND OLSSON'S <i>F</i><i>_P</i>FUNCTIONS

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