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. © The Author(s) 2010. Published by Oxford University Press. All rights reserved.
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Documento: |
Artículo
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Título: | The structure of bivariate rational hypergeometric functions |
Autor: | Cattani, E.; Dickenstein, A.; Rodríguez Villegas, F. |
Filiación: | Department of Mathematics and Statistics, University of Massachusetts at Amherst, Amherst, MA 01003, United States Departamento de Matemática, FCEN, Universidad de Buenos Aires, C1428EGA Buenos Aires, Argentina Department of Mathematics, University of Texas at Austin, Austin, TX 78712, United States
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Año: | 2011
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Volumen: | 2011
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Número: | 11
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Página de inicio: | 2496
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Página de fin: | 2533
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DOI: |
http://dx.doi.org/10.1093/imrn/rnq168 |
Título revista: | International Mathematics Research Notices
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Título revista abreviado: | Int. Math. Res. Not.
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ISSN: | 10737928
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2011_n11_p2496_Cattani |
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Citas:
---------- APA ----------
Cattani, E., Dickenstein, A. & Rodríguez Villegas, F.
(2011)
. The structure of bivariate rational hypergeometric functions. International Mathematics Research Notices, 2011(11), 2496-2533.
http://dx.doi.org/10.1093/imrn/rnq168---------- CHICAGO ----------
Cattani, E., Dickenstein, A., Rodríguez Villegas, F.
"The structure of bivariate rational hypergeometric functions"
. International Mathematics Research Notices 2011, no. 11
(2011) : 2496-2533.
http://dx.doi.org/10.1093/imrn/rnq168---------- MLA ----------
Cattani, E., Dickenstein, A., Rodríguez Villegas, F.
"The structure of bivariate rational hypergeometric functions"
. International Mathematics Research Notices, vol. 2011, no. 11, 2011, pp. 2496-2533.
http://dx.doi.org/10.1093/imrn/rnq168---------- VANCOUVER ----------
Cattani, E., Dickenstein, A., Rodríguez Villegas, F. The structure of bivariate rational hypergeometric functions. Int. Math. Res. Not. 2011;2011(11):2496-2533.
http://dx.doi.org/10.1093/imrn/rnq168