On topological behaviour of solutions of some algebraic differential equations

DOI10.1080/17476930701666890zbMath1163.34057OpenAlexW1972660129MaRDI QIDQ3497838

Ilpo Laine, Lê Dũng Tráng, Grigor A. Barsegian

Publication date: 28 May 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701666890

zbMATH Keywords

Painlevé differential equationsalgebraic differential equationsAhlfors characteristic function

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Meromorphic functions of one complex variable (general theory) (30D30) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (4)

A new principle for arbitrary meromorphic functions in a given domain ⋮ On some generalized Painlevé and Hayman type equations with meromorphic solutions in a bounded domain ⋮ Frequency of \(a\)-points for the fifth and the third Painlevé transcendents in a sector ⋮ Some estimates for the solutions of the first order non-algebraic classes of equations

Cites Work

• On the meromorphic solutions of an equation of Hayman.
• Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ
• Estimates of Derivatives of Meromorphic Functions on Sets of α-Points
• Growth of modified Painlevé transcendents of the fifth and the third kind

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