Bivariate hypergeometric D-modules

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We undertake the study of bivariate Horn systems for generic parameters. We prove that these hypergeometric systems are holonomic, and we provide an explicit formula for their holonomic rank as well as bases of their spaces of complex holomorphic solutions. We also obtain analogous results for the g...

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Detalles Bibliográficos
Autores principales: Dickenstein, A., Matusevich, L.F., Sadykov, T.
Formato: JOUR
Materias:
Holonomic D-module
Holonomic rank
Horn system
Hypergeometric function
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00018708_v196_n1_p78_Dickenstein
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We undertake the study of bivariate Horn systems for generic parameters. We prove that these hypergeometric systems are holonomic, and we provide an explicit formula for their holonomic rank as well as bases of their spaces of complex holomorphic solutions. We also obtain analogous results for the generalized hypergeometric systems arising from lattices of any rank. © 2004 Elsevier Inc. All rights reserved.

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