Open problems for Painlevé equations
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Publication:2633019
DOI10.3842/SIGMA.2019.006zbMath1416.33028arXiv1901.10122MaRDI QIDQ2633019
Publication date: 8 May 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.10122
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)
Related Items (10)
Non-Abelian Toda lattice and analogs of Painlevé III equation ⋮ Connection problem of the first Painlevé transcendents with large initial data ⋮ On the connection problem for the second Painlevé equation with large initial data ⋮ Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach ⋮ Connection Problem of the First Painlevé Transcendent Between Poles and Negative Infinity ⋮ 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis ⋮ Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters ⋮ On Bäcklund transformations for some second-order nonlinear differential equations ⋮ Unnamed Item ⋮ Factorization of Ising correlations C(M, N) for ν = −k and M + N odd, M ⩽ N, T < T c and their lambda extensions
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