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The logarithmic asymptotics of the sixth Painlevé equation

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Publication:3503774
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DOI10.1088/1751-8113/41/20/205201zbMath1161.34062arXiv0801.1157OpenAlexW2208270931MaRDI QIDQ3503774

Davide Guzzetti

Publication date: 9 June 2008

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

Full work available at URL: https://arxiv.org/abs/0801.1157



Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)


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Connection formulas for the $\lambda$ generalized Ising correlation functions ⋮ Pole distribution of PVI transcendents close to a critical point ⋮ The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ Analytic solutions ofq-P(A1) near its critical points ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ The sixth Painlevé transcendents and the associated Schlesinger equation ⋮ Asymptotic expansions of solutions of the sixth Painlevé equation ⋮ A review of the sixth Painlevé equation




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