Painlevé equations and the middle convolution

DOI10.1515/ADVGEOM.2007.019zbMath1134.34057arXivmath/0605384MaRDI QIDQ5421647

Michael Dettweiler, Stefan Reiter

Publication date: 24 October 2007

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605384

zbMATH Keywords

Painlevé equationmiddle convolutionbraid groupFuchsian systems

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (3)

Constructive solutions to the Riemann-Hilbert problem and middle convolution ⋮ Middle convolution and Harnad duality ⋮ Integral representation of solutions to Fuchsian system and Heun's equation

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Geometrical aspects of Schlesinger's equation
• Lamé equations with algebraic solutions.
• From Klein to Painlevé via Fourier, Laplace and Jimbo
• An algorithm of Katz and its application to the inverse Galois problem.

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