INVESTIGADORES
DICKENSTEIN Alicia Marcela
artículos
Título:
The structure of bivariate rational hypergeometric functions
Autor/es:
E. CATTANI, A. DICKENSTEIN, F. RODRIGUEZ VILLEGAS
Revista:
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Editorial:
OXFORD UNIV PRESS
Referencias:
Año: 2011 vol. 2011 p. 2496 - 2533
ISSN:
1073-7928
Resumen:
We describe the structure of all codimension-two lattice congurationsA which admit a stable rational A-hypergeometric function, that is arational function F all whose partial derivatives are non zero, and which is a solutionof the A-hypergeometric system of partial dierential equations denedby Gel´fand, Kapranov and Zelevinsky. We show, moreover, that all stablerational A-hypergeometric functions may be described by toric residues andapply our results to study the rationality of bivariate series whose coeffcientsare quotients of factorials of linear forms.