Pfaffian Equations and Contiguity Relations of the Hypergeometric Function of Type (k+1, k+n+2) and Their Applications-Reference-Cited by-同舟云学术

Pfaffian Equations and Contiguity Relations of the Hypergeometric Function of Type (k+1, k+n+2) and Their Applications

Published:2018 Issue:3 Volume:61 Page:315-347
ISSN:0532-8721
Container-title:Funkcialaj Ekvacioj
language:en
Short-container-title:FE

Author:

Goto Yoshiaki¹,Matsumoto Keiji²

Affiliation:

1. Otaru University of Commerce

2. Hokkaido University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://www.jstage.jst.go.jp/article/fesi/61/3/61_315/_pdf

Reference12 articles.

1. [A] Aomoto K., Les équations aux différences linéaires et les intégrales des fonctions multiformes, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 22 (1975), no. 3, 271-297.

2. [AK] Aomoto K. and Kita M., translated by K. Iohara, Theory of Hypergeometric Functions, Springer Verlag, New York, 2011.

3. [G] Goto Y., Contiguity relations of Lauricella's F_D revisited, Tohoku Math. J. (2), 69 (2017), no. 2, 287-304.

4. [KM] Kita M. and Matsumoto K., Duality for hypergeometric functions and invariant Gauss-Manin systems, Compositio Math., 108 (1997), no. 1, 77-106.

5. [M1] Matsumoto K., Intersection numbers for logarithmic k-forms, Osaka J. Math., 35 (1998), 873-893.

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