Gevrey expansions of hypergeometric integrals II
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math.CA
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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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