Transcendental Meromorphic Solutions of P 34 and Small Targets

DOI10.1007/978-3-319-52842-7_6zbMath1406.30011OpenAlexW2651414939MaRDI QIDQ4644996

Ewa Ciechanowicz, Galina Filipuk

Publication date: 9 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52842-7_6

zbMATH Keywords

Painlevé equationsecond main theoremmeromorphic solutions of \(P_{34}\)small target 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 (4)

A note on properties of solutions of Riccati and hyper‐Riccati equations ⋮ Value Distribution and Growth of Solutions of Certain Painlevé Equations ⋮ Remarks on Painlevé's differential equation \(P_{34}\) ⋮ Painlevé σ-equations S1, S2, S4 and their value distribution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Value distribution of the Painlevé transcendents
• Zur Wertverteilung der Painleveschen Transzendenten
• Über die Lösungen der beiden ersten Painlevéschen Differentialgleichungen
• Zur Wertverteilung der Lösungen der vierten Painleveschen Differentialgleichung
• Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
• The second main theorem for small functions and related problems
• Painlevé differential equations in the complex plane
• On Integral and Meromorphic Functions
• Rational Deficient Functions of Meromorphic Functions
• Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes.
• Growth of the first, the second and the fourth Painlevé transcendents
• Meromorphic solutions of P_4,34 and their value distribution
• The Order of the Derivative of a Meromorphic Function
• Value distribution of Painlevé transcendents of the first and the second kind
• 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.

This page was built for publication: Transcendental Meromorphic Solutions of P 34 and Small Targets