Growth of solutions of three order differential equations

DOI10.1007/S11766-005-0034-4zbMath1082.34077OpenAlexW2011397243MaRDI QIDQ1775274

Zong Xuan Chen

Publication date: 6 May 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-005-0034-4

zbMATH Keywords

entire functiondifferential equationsgrowth of solutions

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)

Cites Work

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• Non-existence of finite order solutions of \(w+e^{-z}w'+Q(z)w=0\)
• On complex oscillation and a problem of Ozawa
• On a solution of \(w+e^{-z}w'+(az+b)w=0\)
• Nevanlinna theory and complex differential equations
• Some further results on the zeros and growths of entire solutions to second order linear differential equations
• Über die subnormalen Lösungen der Differentialgleichung \(w+e^{-z} \cdot w'+\text{konst.} \cdot w = 0\)
• On the question of whether f″+ e^−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
• Finite Order Solutions of Second Order Linear Differential Equations
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method

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