The structure of bivariate rational hypergeometric functions

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 de...

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Autores principales: Cattani, Eduardo H.C., Dickenstein, Alicia Marcela, Rodríguez Villegas, Fernando
Publicado: 2011
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2011_n11_p2496_Cattani
http://hdl.handle.net/20.500.12110/paper_10737928_v2011_n11_p2496_Cattani
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_10737928_v2011_n11_p2496_Cattani2023-06-08T16:04:58Z The structure of bivariate rational hypergeometric functions Cattani, Eduardo H.C. Dickenstein, Alicia Marcela Rodríguez Villegas, Fernando 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. © The Author(s) 2010. Published by Oxford University Press. All rights reserved. Fil:Cattani, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dickenstein, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rodríguez Villegas, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2011_n11_p2496_Cattani http://hdl.handle.net/20.500.12110/paper_10737928_v2011_n11_p2496_Cattani
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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. © The Author(s) 2010. Published by Oxford University Press. All rights reserved.
author Cattani, Eduardo H.C.
Dickenstein, Alicia Marcela
Rodríguez Villegas, Fernando
spellingShingle Cattani, Eduardo H.C.
Dickenstein, Alicia Marcela
Rodríguez Villegas, Fernando
The structure of bivariate rational hypergeometric functions
author_facet Cattani, Eduardo H.C.
Dickenstein, Alicia Marcela
Rodríguez Villegas, Fernando
author_sort Cattani, Eduardo H.C.
title The structure of bivariate rational hypergeometric functions
title_short The structure of bivariate rational hypergeometric functions
title_full The structure of bivariate rational hypergeometric functions
title_fullStr The structure of bivariate rational hypergeometric functions
title_full_unstemmed The structure of bivariate rational hypergeometric functions
title_sort structure of bivariate rational hypergeometric functions
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2011_n11_p2496_Cattani
http://hdl.handle.net/20.500.12110/paper_10737928_v2011_n11_p2496_Cattani
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AT rodriguezvillegasfernando structureofbivariaterationalhypergeometricfunctions
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