Artículo

Dickenstein, A.; Matusevich, L.F.; Sadykov, T. "Bivariate hypergeometric D-modules" (2005) Advances in Mathematics. 196(1):78-123
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Abstract:

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.

Registro:

Documento: Artículo
Título:Bivariate hypergeometric D-modules
Autor:Dickenstein, A.; Matusevich, L.F.; Sadykov, T.
Filiación:Dto. de Matemática, FCEyN, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Department of Mathematics, Harvard University, Cambridge, MA 02138, United States
Department of Mathematics, The University of Western Ontario, London, Ont. N6A 5B7, Canada
Palabras clave:Holonomic D-module; Holonomic rank; Horn system; Hypergeometric function
Año:2005
Volumen:196
Número:1
Página de inicio:78
Página de fin:123
DOI: http://dx.doi.org/10.1016/j.aim.2004.08.012
Handle:http://hdl.handle.net/20.500.12110/paper_00018708_v196_n1_p78_Dickenstein
Título revista:Advances in Mathematics
Título revista abreviado:Adv. Math.
ISSN:00018708
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00018708_v196_n1_p78_Dickenstein.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v196_n1_p78_Dickenstein

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Citas:

---------- APA ----------
Dickenstein, A., Matusevich, L.F. & Sadykov, T. (2005) . Bivariate hypergeometric D-modules. Advances in Mathematics, 196(1), 78-123.
http://dx.doi.org/10.1016/j.aim.2004.08.012
---------- CHICAGO ----------
Dickenstein, A., Matusevich, L.F., Sadykov, T. "Bivariate hypergeometric D-modules" . Advances in Mathematics 196, no. 1 (2005) : 78-123.
http://dx.doi.org/10.1016/j.aim.2004.08.012
---------- MLA ----------
Dickenstein, A., Matusevich, L.F., Sadykov, T. "Bivariate hypergeometric D-modules" . Advances in Mathematics, vol. 196, no. 1, 2005, pp. 78-123.
http://dx.doi.org/10.1016/j.aim.2004.08.012
---------- VANCOUVER ----------
Dickenstein, A., Matusevich, L.F., Sadykov, T. Bivariate hypergeometric D-modules. Adv. Math. 2005;196(1):78-123.
http://dx.doi.org/10.1016/j.aim.2004.08.012