%0 Journal Article
%T Gevrey expansions of hypergeometric integrals I
%A F. J. Castro-Jimenez
%A M. Granger
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1212.1410v2