scientific article; zbMATH DE number 5257759

zbMath1144.34059MaRDI QIDQ5454804

Takahiro Kawai, Yoshitsugu Takei

Publication date: 3 April 2008

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Painlevé equationturning pointPainlevé transcendentinstanton-type solutionsimple \(P\)-turning point

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (1)

WKB analysis of higher order Painlevé equations with a large parameter. II. Structure theorem for instanton-type solutions of \((P_J)_m (J= I, 34\), II-2 or IV) near a simple \(P\)-turning point of the first kind

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