Painlevé VI transcendents which are meromorphic at a fixed singularity.

DOI10.3792/pjaa.82.71zbMath1134.33324OpenAlexW2057320372MaRDI QIDQ863756

Kazuo Kaneko

Publication date: 7 February 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1149166654

zbMATH Keywords

Painlevé equationmonodromy data

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (7)

The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ Finite branch solutions to Painlevé VI around a fixed singular point ⋮ Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity ⋮ Local expansion of Painlevé VI transcendents around a fixed singularity ⋮ Meromorphic Painlevé transcendents at a fixed singularity ⋮ A review of the sixth Painlevé equation ⋮ The Ising correlation C(M, N) for ν = −k

Cites Work

• Monodromy problem and the boundary condition for some Painlevé equations
• A new solution of the fourth Painlevé equation with a solvable monodromy
• Fifth Painleve Transcendents Which are Analytic at the Origin
• Picard and Chazy solutions to the Painlevé VI equation
• Unnamed Item

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