Zur Wertverteilung der Lösungen der vierten Painleveschen Differentialgleichung

DOI10.1007/BF01182392zbMath0528.30019OpenAlexW2914109344MaRDI QIDQ786971

Norbert Steinmetz

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173254

zbMATH Keywords

fourth Painleve equationPicard value

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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)

Related Items (10)

Equi-Distribution of Values for the Third and the Fifth Painlevé Transcendents ⋮ 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 ⋮ Value distribution of Painlevé transcendents of the first and the second kind ⋮ Meromorphic solutions of P_4,34 and their value distribution ⋮ Value distribution of the Painlevé transcendents ⋮ An old new class of meromorphic functions ⋮ Value distribution of Painlevé transcendents of the fifth kind ⋮ Painlevé σ-equations S1, S2, S4 and their value distribution

Cites Work

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• Über die Lösungen der beiden ersten Painlevéschen Differentialgleichungen
• Zur Theorie der binomischen Differentialgleichungen
• Ganze transzendente Lösungen algebraischer Differentialgleichungen
• Eindeutige Lösungen der Differentialgleichungen \(w=P(z,w)\)
• Einige Eigenschaften der Lösungen von \(w' = a(z) + b(z)w + c(z)w^2\)
• Ein Malmquistscher Satz für algebraische Differentialgleichungen erster Ordnung.

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