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Preprints, Working Papers, ... Year : 2012

Gevrey expansions of hypergeometric integrals I


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.
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Dates and versions

hal-00762389 , version 1 (07-12-2012)
hal-00762389 , version 2 (05-02-2013)


  • HAL Id : hal-00762389 , version 2


Francisco-Jesus Castro-Jiménez, Michel Granger. Gevrey expansions of hypergeometric integrals I. 2012. ⟨hal-00762389v2⟩
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