Painlevé σ-equations S1, S2, S4 and their value distribution

DOI10.2298/FIL2006959CzbMath1499.30271MaRDI QIDQ5865270

Ewa Ciechanowicz

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Painlevé equationvalue distributionmeromorphic function

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 (1)

A note on value distribution of solutions of certain second order ODEs

Uses Software

• DLMF

Cites Work

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• On deviations and strong asymptotic functions of meromorphic functions of finite lower order
• 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 \(P_{IV}\)
• Polynomial Hamiltonians associated with Painleve equations. I
• Boutroux's method vs. re-scaling. Lower estimates for the orders of growth of the second and fourth Painlevé transcendents
• Painlevé differential equations in the complex plane
• Nevanlinna theory, normal families, and algebraic differential equations
• On deviations, small functions and strong asymptotic functions of meromorphic functions
• Growth results for Painlevé transcendents
• Value Distribution and Growth of Solutions of Certain Painlevé Equations
• Entire functions having asymptotic functions
• On Asymptotic Functions
• Transcendental Meromorphic Solutions of P 34 and Small Targets
• LOWER ESTIMATES FOR THE GROWTH OF THE FOURTH AND THE SECOND PAINLEVÉ TRANSCENDENTS
• Growth of the first, the second and the fourth Painlevé transcendents
• Sub-normal solutions to Painlevé's second differential equation
• Meromorphic solutions of P_4,34 and their value distribution
• 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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