Holonomic rank of A-hypergeometric differential-difference equations
Classical Analysis and ODEs
2007-06-20 v1
Abstract
We introduce A-hypergeometric differential-difference equation and prove that its holonomic rank is equal to the normalized volume of A with giving a set of convergent series solutions.
Cite
@article{arxiv.0706.2706,
title = {Holonomic rank of A-hypergeometric differential-difference equations},
author = {Katsuyoshi Ohara and Nobuki Takayama},
journal= {arXiv preprint arXiv:0706.2706},
year = {2007}
}