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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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
id todo:paper_00018708_v196_n1_p78_Dickenstein
record_format dspace
spelling todo:paper_00018708_v196_n1_p78_Dickenstein2023-10-03T13:52:14Z Bivariate hypergeometric D-modules Dickenstein, A. Matusevich, L.F. Sadykov, T. Holonomic D-module Holonomic rank Horn system Hypergeometric function 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. Fil:Dickenstein, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00018708_v196_n1_p78_Dickenstein
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Holonomic D-module
Holonomic rank
Horn system
Hypergeometric function
spellingShingle Holonomic D-module
Holonomic rank
Horn system
Hypergeometric function
Dickenstein, A.
Matusevich, L.F.
Sadykov, T.
Bivariate hypergeometric D-modules
topic_facet Holonomic D-module
Holonomic rank
Horn system
Hypergeometric function
description 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.
format JOUR
author Dickenstein, A.
Matusevich, L.F.
Sadykov, T.
author_facet Dickenstein, A.
Matusevich, L.F.
Sadykov, T.
author_sort Dickenstein, A.
title Bivariate hypergeometric D-modules
title_short Bivariate hypergeometric D-modules
title_full Bivariate hypergeometric D-modules
title_fullStr Bivariate hypergeometric D-modules
title_full_unstemmed Bivariate hypergeometric D-modules
title_sort bivariate hypergeometric d-modules
url http://hdl.handle.net/20.500.12110/paper_00018708_v196_n1_p78_Dickenstein
work_keys_str_mv AT dickensteina bivariatehypergeometricdmodules
AT matusevichlf bivariatehypergeometricdmodules
AT sadykovt bivariatehypergeometricdmodules
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