The MacLane class and complex differential equations in the unit disk

DOI10.1016/j.jmaa.2009.06.017zbMath1181.34096OpenAlexW2034201382MaRDI QIDQ837598

Linda R. Sons, Kari E. Fowler

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.017

zbMATH Keywords

linear differential equationsRiccati differential equationsgrowth of solutionsMacLane class, unit disc

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• Fast growing solutions of linear differential equations in the unit disc
• The growth of solutions of differential equations with coefficients of small growth in the disc
• Estimates on the growth of meromorphic solutions of linear differential equations
• Asymptotic values of meromorphic functions
• On solutions of algebraic differential equations whose coefficients are analytic functions in the unit disk
• Fonctions analytiques et équations différentielles
• ASYMPTOTIC TRACTS OF LOCALLY UNIVALENT FUNCTIONS
• Linear differential equations in the unit disc with analytic solutions of finite order
• On the mean growth of the solutions of complex linear differential equations in the disk
• Linear Differential Equations with Solutions in the Dirichlet Type Subspace of the Hardy Space
• A Growth Condition for the Maclane Class A

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