CORRIGENDUM: ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS

DOI10.2206/kyushujm.77.191zbMath1528.34072OpenAlexW4387656394MaRDI QIDQ6070600

Shun Shimomura

Publication date: 23 November 2023

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.77.191

zbMATH Keywords

isomonodromy deformationJacobi elliptic functionsWKB analysismonodromy dataBoutroux ansatzelliptic asymptotic representationfifth Painlevé transcendents\(\vartheta\)-function

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Painlevé-type functions (33E17) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Cites Work

• Unnamed Item
• On some special solutions of the fifth Painlevé equation
• Justification of the asymptotic formulas obtained by the isomonodromic deformation method
• Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis
• Symmetrization in the geometric theory of functions of a complex variable
• ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS

This page was built for publication: CORRIGENDUM: ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS