Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions

DOI10.1007/s10958-016-2733-1zbMath1381.34113arXiv0705.2963OpenAlexW2963548731MaRDI QIDQ294987

Raimundas Vidunas, Alexander V. Kitaev

Publication date: 17 June 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2963

Mathematics Subject Classification ID

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

Related Items (4)

Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions ⋮ Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation ⋮ Flat structure on the space of isomonodromic deformations ⋮ Schlesinger transformations for algebraic Painlevé VI solutions

Cites Work

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• Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions
• Lamé operators with finite monodromy -- a combinatorial approach
• Algebraic solutions of the sixth Painlevé equation
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• Monodromy- and spectrum-preserving deformations. I
• Lamé equations with algebraic solutions.
• Some examples of \(RS^2_3(3)\)-transformations of ranks 5 and 6 as the higher order transformations for the hypergeometric function
• Monodromy of certain Painlevé-VI transcendents and reflection groups
• Algebraic and geometric isomonodromic deformations.
• Transformations of some Gauss hypergeometric functions
• Transformations \(RS_4^2(3)\) of the ranks \(\leq 4\) and algebraic solutions of the sixth Painlevé equation
• Some explicit solutions to the Riemann–Hilbert problem
• Computation of highly ramified coverings
• Algebraic Transformations of Gauss Hypergeometric Functions
• The fifty-two icosahedral solutions to Painlevé VI
• Quadratic relations in continuous and discrete Painlevé equations
• From Klein to Painlevé via Fourier, Laplace and Jimbo
• R. Fuchs’ problem of the Painlevé equations from the first to the fifth
• Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions

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