Meromorphic solutions of P_4,34 and their value distribution

DOI10.5186/AASFM.2016.4146zbMath1352.30030OpenAlexW2413249759MaRDI QIDQ5739325

Ewa Ciechanowicz, Galina Filipuk

Publication date: 15 July 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4146

zbMATH Keywords

value distributionPainlevé equationsmeromorphic functions

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)

Related Items (7)

A note on value distribution of solutions of certain second order ODEs ⋮ A note on properties of solutions of Riccati and hyper‐Riccati equations ⋮ Value Distribution and Growth of Solutions of Certain Painlevé Equations ⋮ Transcendental Meromorphic Solutions of P 34 and Small Targets ⋮ Remarks on Painlevé's differential equation \(P_{34}\) ⋮ A note on meromorphic functions with finite order and of bounded \(l\)-index ⋮ Painlevé σ-equations S1, S2, S4 and their value distribution

Uses Software

• DLMF

Cites Work

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• Zur Wertverteilung der Lösungen der vierten Painleveschen Differentialgleichung
• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• Nevanlinna theory and complex differential equations
• On Integral and Meromorphic Functions
• A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations
• Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
• Growth of the first, the second and the fourth Painlevé transcendents
• On Painlevé's equations I, II and IV
• Solutions of the first and second Painlevé equations are meromorphic
• The first, the second and the fourth Painlevé transcendents are of finite order.

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