Bivariate hypergeometric D-modules
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: | , , |
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| Formato: | Artículo publishedVersion |
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2005
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00018708_v196_n1_p78_Dickenstein https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00018708_v196_n1_p78_Dickenstein_oai |
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| 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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