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. 
F.J. Castro-Jimenez (1) and M. Granger (2) ((1) University of Seville,   Spain, (2) University of Angers, France)
math.AG