Gevrey expansions of hypergeometric integrals I
Algebraic Geometry
2013-02-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1212.1410,
title = {Gevrey expansions of hypergeometric integrals I},
author = {F. J. Castro-Jimenez and M. Granger},
journal= {arXiv preprint arXiv:1212.1410},
year = {2013}
}
Comments
New statements and proofs for Theorem 4.8 and Proposition 4.12. Corrected typos