Boutroux ansatz for the degenerate third Painlevé transcendents

DOI10.4171/PRIMS/60-4-1MaRDI QIDQ6652949

Shun Shimomura

Publication date: 13 December 2024

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

isomonodromy deformationWKB analysistheta-functionBoutroux ansatzboutroux equationsdegenerate third Painlevé equationpe-function

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Elliptic functions and integrals (33E05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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• ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS

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