Symmetric solutions for the two dimensional degenerate Garnier system G(5)

DOI10.3792/pjaa.87.114zbMath1237.34150OpenAlexW2075413006MaRDI QIDQ665910

Kazuo Kaneko

Publication date: 7 March 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1310042734

zbMATH Keywords

Painlevé equationGarnier systemmonodromy data

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• The degeneration of the two dimensional Garnier system and the polynomial Hamiltonian structure
• A new solution of the fourth Painlevé equation with a solvable monodromy
• Spaces of initial conditions of Garnier system and its degenerate systems in two variables
• Meromorphic Painlevé transcendents at a fixed singularity
• Fifth Painleve Transcendents Which are Analytic at the Origin
• Local expansion of Painlevé VI transcendents around a fixed singularity

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