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arxiv: 1904.07584 · v1 · pith:PLQZHFUEnew · submitted 2019-04-16 · 🧮 math.AG · math.CA

Gevrey expansions of hypergeometric integrals II

classification 🧮 math.AG math.CA
keywords gevreyhypergeometricintegralseriessolutionsystemsalongassumptions
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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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