Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II

DOI10.1088/0266-5611/26/10/105010zbMath1210.34130arXiv1005.2677OpenAlexW2005212471MaRDI QIDQ3057760

A. H. Vartanian, Alexander V. Kitaev

Publication date: 17 November 2010

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2677

zbMATH Keywords

Painlevé equationsisomonodromic deformationsStokes phenomenaconnection problems

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) 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)

Related Items (6)

Open problems for Painlevé equations ⋮ Elizabethan vortices ^* ⋮ Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter ⋮ Asymptotics of integrals of some functions related to the degenerate third Painlevé equation ⋮ Tronquée solutions of the third and fourth Painlevé equations ⋮ Meromorphic solution of the degenerate third Painlevé equation vanishing at the origin

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