Value Distribution and Growth of Solutions of Certain Painlevé Equations

DOI10.1007/978-3-319-96598-7_9zbMath1458.34146OpenAlexW2889072113MaRDI QIDQ3296543

Ewa Ciechanowicz, Galina Filipuk

Publication date: 8 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96598-7_9

zbMATH Keywords

Painlevé equationmeromorphic functiondefective value

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) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (1)

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

Cites Work

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• Value distribution of the Painlevé transcendents
• Zur Wertverteilung der Painleveschen Transzendenten
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• Zur Wertverteilung der Lösungen der vierten Painleveschen Differentialgleichung
• Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. I
• Exceptional values in the R. Nevanlinna sense and in the V. P. Petrenko sense. II
• Painlevé differential equations in the complex plane
• Transcendental Meromorphic Solutions of P 34 and Small Targets
• 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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