Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions

DOI10.1002/mana.200510582zbMath1137.34041arXivmath/0511149OpenAlexW2012239861MaRDI QIDQ5441398

Raimundas Vidunas, Alexander V. Kitaev

Publication date: 13 February 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511149

zbMATH Keywords

algebraic functionfolding transformation

Mathematics Subject Classification ID

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

Related Items (11)

Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions ⋮ Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation ⋮ Classification of algebraic solutions of irregular Garnier systems ⋮ The sixth Painlevé transcendent and uniformization of algebraic curves ⋮ Genus one Belyi maps by quadratic correspondences ⋮ Flat structure on the space of isomonodromic deformations ⋮ Schlesinger transformations for algebraic Painlevé VI solutions ⋮ Cubic and Quartic Transformations of the Sixth Painlevé Equation in Terms of Riemann–Hilbert Correspondence ⋮ Computation of highly ramified coverings ⋮ Algebraic solutions of the sixth Painlevé equation ⋮ Factorization of Ising correlations C(M, N) for ν = −k and M + N odd, M ⩽ N, T < T _c and their lambda extensions

Uses Software

• Maple

Cites Work

• DARBOUX EVALUATIONS OF ALGEBRAIC GAUSS HYPERGEOMETRIC FUNCTIONS
• Computation of highly ramified coverings

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