The re-quantization method-one of the resurgent analysis methods of current importance-is developed in this study. It is widely used in the analytical theory of linear differential equations. With the help of the re-quantization method, the problem of constructing the asymptotics of the inverse Laplace-Borel transform is solved for a particular type of functions with holomorphic coefficients that exponentially grow at zero. Two examples of constructing the uniform asymptotics at infinity for the second-and forth-order differential equations with the help of the re-quantization method and the result obtained in this study are considered.

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