Value distribution of Painlevé transcendents of the first and the second kind

DOI10.1007/BF02791233zbMath0981.34083OpenAlexW1970615299MaRDI QIDQ5926441

Shun Shimomura

Publication date: 21 March 2002

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02791233

zbMATH Keywords

Painlevé equationramification indexvalue distribution

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)

Related Items (7)

A note on value distribution of solutions of certain second order ODEs ⋮ On analytic properties of higher analogs of the second Painlevé equation ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ A note on properties of solutions of Riccati and hyper‐Riccati equations ⋮ Transcendental Meromorphic Solutions of P 34 and Small Targets ⋮ Remarks on Painlevé's differential equation \(P_{34}\) ⋮ Uniqueness theorems for solutions of Painlevé transcendents

Cites Work

• Zur Wertverteilung der Painleveschen Transzendenten
• Über die Lösungen der beiden ersten Painlevéschen Differentialgleichungen
• Zur Wertverteilung der Lösungen der vierten Painleveschen Differentialgleichung
• Eindeutige Lösungen der Differentialgleichungen \(w=P(z,w)\)
• Solutions of the first and second Painlevé equations are meromorphic
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