Gevrey expansions of hypergeometric integrals II
Algebraic Geometry
2019-04-17 v1 Classical Analysis and ODEs
Abstract
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of its singular support, is the asymptotic expansion of a holomorphic solution given by a carefully chosen integral representation.
Cite
@article{arxiv.1904.07584,
title = {Gevrey expansions of hypergeometric integrals II},
author = {Francisco-Jesús Castro-Jiménez and María-Cruz Fernández-Fernández and Michel Granger},
journal= {arXiv preprint arXiv:1904.07584},
year = {2019}
}
Comments
27 pages, 2 figures