Artículo
Gevrey expansions of hypergeometric integrals I
Autor/es | Castro Jiménez, Francisco Jesús
Granger, Michel |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2015 |
Fecha de depósito | 2016-09-06 |
Publicado en |
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Resumen | We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we consider the case of the systems associated with a one row matrix, for which the integration domains ... We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we consider the case of the systems associated with a one row matrix, for which the integration domains are one dimensional. We prove that any Gevrey series solution along the singular support of the system is the asymptotic expansion of a holomorphic solution given by a carefully chosen integral representation. |
Identificador del proyecto | MTM2010-19336
FQM333 |
Cita | Castro Jiménez, F.J. y Granger, M. (2015). Gevrey Expansions of Hypergeometric Integrals I. International Mathematics Research Notices, 2015 (5), 1338-1370. |
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