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arXiv · 1904.07584

Gevrey expansions of hypergeometric integrals II

Francisco-Jesús Castro-Jiménez·María-Cruz Fernández-Fernández·Michel Granger
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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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Francisco-Jesús Castro-Jiménez, María-Cruz Fernández-Fernández, Michel Granger. 2019-04-16. Gevrey expansions of hypergeometric integrals II. https://arxiv.org/abs/1904.07584

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