INVESTIGADORES
DICKENSTEIN Alicia Marcela
congresos y reuniones científicas
Título:
The structure of bivariate rational hypergeometric functions
Autor/es:
A. DICKENSTEIN
Lugar:
Estocolmo, Suecia
Reunión:
Congreso; Differential Systems in the Complex Domain; 2010
Institución organizadora:
Universidad de Estocolmo
Resumen:
We describe the structure of all codimension-two lattice configurations A which admit a stable rational A-hypergeometricfunction, that is, a rational function all whose partial derivatives are non zero, and which is a solution of an A-hypergeometric system of partial differential equations defined by Gel'fand, Kapranov and Zelevinsky.We show  that all stable rational A-hypergeometric functions may be described by toric residues and apply our results to study the rationality of bivariate series whose coefficients are quotients of factorials of linear forms.Joint work with Eduardo Cattani and Fernando Rodríguez Villegas.