Exceptional solutions to the Painlevé VI equation

DOI10.1063/1.4973440zbMath1360.34181arXiv1602.04694OpenAlexW3102105126MaRDI QIDQ2963295

Alexandre Eremenko, Andrei Gabrielov, Aimo Hinkkanen

Publication date: 13 February 2017

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

Full work available at URL: https://arxiv.org/abs/1602.04694

Mathematics Subject Classification ID

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

Related Items (5)

Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. I. ⋮ Circular pentagons and real solutions of Painlevé VI equations ⋮ On the asymptotics for minimizers of Donaldson functional in Teichmüller theory ⋮ Exceptional solutions to the Painlevé VI equation associated with the generalized Jacobi weight ⋮ Conway topograph, -dynamics and two-valued groups

Uses Software

• MathOverflow

Cites Work

• Apparent singularities of Fuchsian equations and the Painlevé property for Garnier systems
• Algebraic solutions of the sixth Painlevé equation
• The Lamé family of connections on the projective line
• Green function, Painlevé VI equation, and Eisenstein series of weight one
• Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. I.
• Circular pentagons and real solutions of Painlevé VI equations
• The meromorphic nature of the sixth Painlevé transcendents
• Sixth Painlev\'e Equation, Universal Elliptic Curve, and Mirror of $\bold{P}^2$
• Picard and Chazy solutions to the Painlevé VI equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exceptional solutions to the Painlevé VI equation