Meromorphic Painlevé transcendents at a fixed singularity

DOI10.1002/mana.200810241zbMath1282.34098OpenAlexW2012175967MaRDI QIDQ2841689

Kazuo Kaneko, Yousuke Ohyama

Publication date: 26 July 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200810241

zbMATH Keywords

Painlevé equationsmonodromy problem

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items

Global meromorphy of solutions of the Painlevé equations and their hierarchies ⋮ Symmetric solutions for the two dimensional degenerate Garnier system G(5) ⋮ Symmetric solutions to the four dimensional degenerate Painlevé type equation NY ^{A ₄}

Cites Work

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• Monodromy problem and the boundary condition for some Painlevé equations
• Painlevé VI transcendents which are meromorphic at a fixed singularity.
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Fifth Painleve Transcendents Which are Analytic at the Origin

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