ODEs and Wiman-Valiron theory in the unit disc

DOI10.1016/j.jmaa.2009.12.044zbMath1205.30028OpenAlexW2021379705MaRDI QIDQ961085

John Rossi, Peter C. Fenton

Publication date: 29 March 2010

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.2009.12.044

zbMATH Keywords

analytic functionpower seriesWiman-Valiron theory

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)

Related Items (8)

Linear differential equations with slowly growing solutions ⋮ Possible intervals for \(T\)- and \(M\)-orders of solutions of linear differential equations in the unit disc ⋮ Wiman-Valiron theory in simply connected domains ⋮ SHARP LOGARITHMIC DERIVATIVE ESTIMATES WITH APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS IN THE UNIT DISC ⋮ Onα-Polynomial Regular Functions, with Applications to Ordinary Differential Equations ⋮ A non-power series approach to Wiman-Valiron type theorems ⋮ Functions of finite logarithmic order in the unit disc. II ⋮ A Survey on Blaschke-Oscillatory Differential Equations, with Updates

Cites Work

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• Fast growing solutions of linear differential equations in the unit disc
• Order of growth of solutions to algebraic differential equations in the unit disk
• The growth of solutions of differential equations with coefficients of small growth in the disc
• Linear differential equations in the unit disc with analytic solutions of finite order
• Wiman-Valiron theory in the disc
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Linear Differential Equations and Logarithmic Derivative Estimates
• The real part of entire functions

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