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Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter

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arxiv 2104.13751 v3 pith:3GVPYIAW submitted 2021-04-28 math.CA

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keywords borelcoefficientsdifferentialequationsgeneralizedgivenhypergeometricinfinity
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Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined and their explicit forms are given for the origin and for the infinity. It is shown that they are Borel summable in some specified regions in the space of parameters and their Borel sums in the regions are given.

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  1. Exact WKB analysis for dynamical and geometric exponents in generalized and nonlinear Landau-Zener transitions

    hep-th 2025-05 conditional novelty 6.0 of 10

    Exact WKB is used to compute geometric and higher-order exponential factors for twisted and nonlinear Landau-Zener transitions, including a predicted phantom transition without a level crossing.

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