Abstract

In this paper, we apply methods of resurgent analysis (including the requantization method) to the construction of asymptotics for solutions of linear ordinary differential equations with holomorphic coefficients. We provide a classification of various types of asymptotics depending on the principal symbol of the differential operator. Using the requantization method, we construct asymptotics for solutions of an ordinary differential equation with holomorphic coefficients in a neighborhood of infinity.

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