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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.
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Contributor : Michel Granger Connect in order to contact the contributor
Submitted on : Friday, April 26, 2019 - 4:41:00 PM
Last modification on : Friday, April 1, 2022 - 3:44:16 AM

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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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