Publication Date
2010
Journal or Book Title
International Mathematics Research Notices
Abstract
We describe the structure of all codimension-2 lattice configurations A which admit a stable rational A-hypergeometric function, that is a rational function F all the partial derivatives of which are nonzero, and which is a solution of the A-hypergeometric system of partial differential equations defined by Gel′ fand, Kapranov, and Zelevinsky. We show, moreover, that all stable rational A-hypergeometric functions may be described by toric residues and apply our results to study the rationality of bivariate series the coefficients of which are quotients of factorials of linear forms.
Volume
2011
Issue
4
Recommended Citation
Cattani, E; Dickenstein, Alicia; and Villegas, Fernando, "The Structure of Bivariate Rational Hypergeometric Functions" (2010). International Mathematics Research Notices. 1152.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1152
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://imrn.oxfordjournals.org/content/early/2010/09/13/imrn.rnq168.abstract