Gevrey expansions of hypergeometric integrals I
type: Dataset
description: 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.
issued: 2026-05-14T16:12:20.533550
language: en
modified: 2026-05-14T16:12:20.533555
contact point: Organization
  fn: CCSD
keyword: 32c38-14f10-33c7035a27
keyword: gevrey-expansions
keyword: hypergeometric-systems
keyword: infoeu-reposemanticspreprint
keyword: integral-representations
keyword: mathmath-agmathematics-mathalgebraic-geometry-mathag
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00762389

Gevrey expansions of hypergeometric integrals I
type: Distribution
format: HTML
issued: 2026-05-14T16:12:20.557010
modified: 2026-05-14T16:12:20.508471
access URL: https://hal.science/hal-00762389

test_moissonnage_selune
type: Agent