A system of hypergeometric differential equations in two variables of rank 9
Algebraic Geometry
2016-08-24 v2
Abstract
We study a hypergeometric function in two variables and a system of hypergeometric differential equations associated with this function. This is a regular holonomic system of rank . We give a fundamental system of solutions to this system in terms of this hypergeometric series. We give circuit matrices along generators of the fundamental group of the complement of its singular locus with respect to our fundamental system.
Keywords
Cite
@article{arxiv.1608.02667,
title = {A system of hypergeometric differential equations in two variables of rank 9},
author = {Jyoichi Kaneko and Keiji Matsumoto and Katsuyoshi Ohara},
journal= {arXiv preprint arXiv:1608.02667},
year = {2016}
}
Comments
35 pages, 4 figures