SOLUTIONS IN TERMS OF INTEGRALS OF MULTIVALUED FUNCTIONS FOR THE CLASSICAL HYPERGEOMETRIC EQUATIONS AND THE HYPERGEOMETRIC SYSTEM ON THE CONFIGURATION SPACE

DOI10.2206/kyushujm.70.315zbMath1354.33008OpenAlexW2530945749MaRDI QIDQ3181195

Masatoshi Noumi, Katsuhisa Mimachi

Publication date: 23 December 2016

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

Full work available at URL: https://doi.org/10.2206/kyushujm.70.315

zbMATH Keywords

hypergeometric integralsclassical hypergeometric functionsgeneralized hypergeometric function \(_{n+1}F_n\)Appell's hypergeometric functions \(F_1,F_2,F_3,F_4\)classical hypergeometric equationshypergeometric function on the configuration spaceLauricella's hypergeometric functions \(F_A,F_B,F_C,F_D\)

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Appell, Horn and Lauricella functions (33C65)

Related Items (4)

From positive geometries to a coaction on hypergeometric functions ⋮ 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 ⋮ Picard–Vessiot groups of Lauricella's hypergeometric systems EC and Calabi–Yau varieties arising integral representations

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