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Article Dans Une Revue International Mathematics Research Notices Année : 2021

Gevrey expansions of hypergeometric integrals II

Résumé

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.

Dates et versions

hal-02112537 , version 1 (26-04-2019)

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Francisco-Jesus Castro-Jiménez, María-Cruz Fernández-Fernández, Michel Granger. Gevrey expansions of hypergeometric integrals II. International Mathematics Research Notices, 2021, 23, pp.17823-17861. ⟨10.1093/imrn/rnz303⟩. ⟨hal-02112537⟩
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