SOLUTIONS IN TERMS OF INTEGRALS OF MULTIVALUED FUNCTIONS FOR THE CLASSICAL HYPERGEOMETRIC EQUATIONS AND THE HYPERGEOMETRIC SYSTEM ON THE CONFIGURATION SPACE-Reference-Cited by-同舟云学术

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

Published:2016 Issue:2 Volume:70 Page:315-342
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

MIMACHI Katsuhisa¹,NOUMI Masatoshi²

Affiliation:

1. Department of Pure and Applied Mathematics Osaka University

2. Department of Mathematics Kobe University

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/kyushujm/70/2/70_315/_pdf

Reference28 articles.

1. [A] K. Aomoto. Configurations and invariant theory of Gauss-Manin systems. Adv. Stud. Pure Math. 4 (1984), 165-179.

2. [AK] K. Aomoto and M. Kita. Theory of hypergeometric functions (Springer Monographs in Mathematics). Springer, Berlin, 2011.

3. [AKdF] P. Appell and J. Kempé de Fériet. Fonctions hypergéométriques et hypersphériques; Polynomes d'Hermite. Gauthier-Villars, Paris, 1926.

4. [BH] F. Beukers and G. Heckman. Monodromy for the hypergeometric function _nF_n₋₁. Invent. Math. 95 (1989), 325-354.

5. [B] E. Bod. Algebraicity of the Appell-Lauricella and Horn hypergeometric functions. J. Differ. Equations 252 (2012), 541-566.

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties;Hokkaido Mathematical Journal;2024-06-01

2. Picard–Vessiot groups of Lauricella's hypergeometric systems EC and Calabi–Yau varieties arising integral representations;Journal of the London Mathematical Society;2020-04-07

3. From positive geometries to a coaction on hypergeometric functions;Journal of High Energy Physics;2020-02

4. CONNECTION FORMULAS RELATED WITH APPELL'S F₂, HORN'S H₂AND OLSSON'S F_PFUNCTIONS;Kyushu Journal of Mathematics;2020

5. INTEGRAL REPRESENTATIONS OF APPELL'S F₂, F₃, HORN'S H₂ AND OLSSON'S F_P FUNCTIONS;Kyushu Journal of Mathematics;2020