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Exact WKB analysis near a simple turning point

Eric Delabaere ()
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Eric Delabaere: Université d’Angers, Département de Mathématiques, UMR CNRS 6093

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 101-117 from Springer

Abstract: 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.

Keywords: Resurgence theory; Exact WKB methods; Simple turning point; Singular linear PDE (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_11

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DOI: 10.1007/978-4-431-73240-2_11

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