# Gevrey expansions of hypergeometric integrals II

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.
Document type :
Preprints, Working Papers, ...

https://hal.archives-ouvertes.fr/hal-02112537
Contributor : Michel Granger <>
Submitted on : Friday, April 26, 2019 - 4:41:00 PM
Last modification on : Friday, May 10, 2019 - 12:14:02 PM

### Identifiers

• HAL Id : hal-02112537, version 1
• ARXIV : 1904.07584

### Citation

Francisco-Jesus Castro-Jiménez, María-Cruz Fernández-Fernández, Michel Granger. Gevrey expansions of hypergeometric integrals II. 2019. ⟨hal-02112537⟩

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