On some generalized Painlevé and Hayman type equations with meromorphic solutions in a bounded domain

DOI10.1515/gmj-2018-0033zbMath1403.34067OpenAlexW2803414574MaRDI QIDQ1637527

Grigor A. Barsegian, Wen-Jun Yuan

Publication date: 8 June 2018

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2018-0033

zbMATH Keywords

meromorphic solutioncomplex differential equationAlhfors islandPainlevé type equations

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) 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) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (1)

On some higher order equations admitting meromorphic solutions in a given domain

Cites Work

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• On the meromorphic solutions of an equation of Hayman.
• A new principle for arbitrary meromorphic functions in a given domain
• All Admissible Meromorphic Solutions of Hayman's Equation
• Hayman’s classical conjecture on some nonlinear second-order algebraic ODEs
• On topological behaviour of solutions of some algebraic differential equations
• On a topological description of solutions of complex differential equations

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