Contiguity relations of Lauricella's F_D revisited
Contiguity relations of Lauricella's F_D revisited
复制标题
重新审视 Lauricella 的 F_D 的邻接关系
DOI：
10.2748/tmj/1498269627
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Y. Goto
中科院分区：
文献类型：
--
作者：
Y. Goto
利用扭曲上同调群和交形式研究了Lauricella超几何函数F_D的邻接关系。我们从扭曲上同调群中的邻接关系导出邻接关系，并用交数给出这些关系中的系数。此外，我们还构造了与F_D所满足的微分方程组的基本解集相对应的扭环，其表示为Laurent级数。我们还给出了这些解的邻接关系。
We study contiguity relations of Lauricella's hypergeometric function F_D, by using the twisted cohomology group and the intersection form. We derive contiguity relations from those in the twisted cohomology group and give the coefficients in these relations by the intersection numbers. Furthermore, we construct twisted cycles corresponding to a fundamental set of solutions to the system of differential equations satisfied by F_D, which are expressed as Laurent series. We also give the contiguity relations of these solutions.