Open Access
May 2007 Exact WKB analysis for the degenerate third Painlevé equation of type $(D_8)$
Hideaki Wakako, Yoshitsugu Takei
Proc. Japan Acad. Ser. A Math. Sci. 83(5): 63-68 (May 2007). DOI: 10.3792/pjaa.83.63

Abstract

Exact WKB analysis for instanton-type solutions of the degenerate third Painlevé equation of type $(D_8)$ is discussed. Explicit connection formulas are obtained through computations of the monodromy data of the underlying linear equations.

Citation

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Hideaki Wakako. Yoshitsugu Takei. "Exact WKB analysis for the degenerate third Painlevé equation of type $(D_8)$." Proc. Japan Acad. Ser. A Math. Sci. 83 (5) 63 - 68, May 2007. https://doi.org/10.3792/pjaa.83.63

Information

Published: May 2007
First available in Project Euclid: 5 June 2007

zbMATH: 1152.34397
MathSciNet: MR2334372
Digital Object Identifier: 10.3792/pjaa.83.63

Subjects:
Primary: 34M40 , 34M55 , 34M60

Keywords: connection formula , Exact WKB analysis , third Painlevé equation

Rights: Copyright © 2007 The Japan Academy

Vol.83 • No. 5 • May 2007
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