Matching procedure for the sixth Painlevé equation

DOI10.1088/0305-4470/39/39/S02zbMath1133.34048arXiv1010.1952MaRDI QIDQ3418379

Davide Guzzetti

Publication date: 5 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1952

zbMATH Keywords

isomonodromy deformationsixth Painlevé equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (7)

On the asymptotics of the real solutions to the general sixth Painlevé equation ⋮ The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ The sixth Painlevé transcendents and the associated Schlesinger equation ⋮ Asymptotic expansions of solutions of the sixth Painlevé equation ⋮ Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity ⋮ A review of the sixth Painlevé equation ⋮ The Ising correlation C(M, N) for ν = −k

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