On transformations in the Painlevé family

DOI10.1016/j.matpur.2016.10.006zbMath1425.34108arXiv1502.01389OpenAlexW3100445670MaRDI QIDQ2397625

Joel Nagloo

Publication date: 23 May 2017

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01389

zbMATH Keywords

model theoryPainlevé equationsdifferentially closed fieldBacklund transformations

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Differential algebra (12H05)

Related Items

Solutions of mixed Painlevé P_III—Vmodel

Cites Work

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• Geometric triviality of the strongly minimal second Painlevé equations
• On algebraic relations between solutions of a generic Painlevé equation
• Algebraic solutions of the sixth Painlevé equation
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• Rational solutions of the fifth Painlevé equation
• Solutions of the fifth Painlevé equation. I
• On the algebraic independence of generic Painlevé transcendents
• Algebraic Independence of Painlevé First Transcendents
• Solutions of the third Painlevé equation I
• Solutions of the second and fourth Painlevé equations, I
• Classical solutions of the third Painlevé equation

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