Exact WKB analysis near a simple turning point

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Abstract

We extend and propose a new proof for a reduction theorem near a simple turning point due to Aoki et al, in the framework of the exact WKB analysis. Our scheme of proof is based on a Laplace-integral representation derived from an existence theorem of holomorphic solutions for a singular linear partial differential equation. © 2008 Springer Japan.

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Delabaere, E. (2008). Exact WKB analysis near a simple turning point. In Algebraic Analysis of Differential Equations: From Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai (pp. 101–117). Springer Japan. https://doi.org/10.1007/978-4-431-73240-2_11

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