- 著者
- Katsuhisa MIMACHI Masatoshi NOUMI
- 出版者
- Faculty of Mathematics, Kyushu University
- 雑誌
- Kyushu Journal of Mathematics (ISSN:13406116)
- 巻号頁・発行日
- vol.70, no.2, pp.315-342, 2016 (Released:2016-10-13)
- 参考文献数
- 28
- 被引用文献数
- 1 5
The systems of differential equations associated with the classical hypergeometric functions and the hypergeometric functions on the space of point configurations are investigated from the viewpoint of the twisted de Rham theory. In each case, it is proved that the integral of a certain multivalued function over an arbitrary twisted (or loaded) cycle satisfies the system of differential equations in question. The classical hypergeometric functions studied here include Appell's hypergeometric functions F1, F2, F3, F4, Lauricella's hypergeometric functions FA, FB, FC, FD, and the generalized hypergeometric function n+1Fn.