On the growth of solutions to the complex differential equation \(f^{\prime \prime} + Af^{\prime} + Bf = 0\)

DOI10.1007/s11425-010-4153-xzbMath1218.30082OpenAlexW2064574044WikidataQ115378266 ScholiaQ115378266MaRDI QIDQ544847

Jun Zhu, Pengcheng Wu

Publication date: 16 June 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4153-x

zbMATH Keywords

entire functioninfinite orderdeficient valuecomplex differential equation

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (15)

On the hyper-order of solutions of two class of complex linear differential equations ⋮ On the growth of solutions of a class of second-order complex differential equations ⋮ On the growth of solutions of second order complex differential equation with meromorphic coefficients ⋮ Unnamed Item ⋮ Growth of solutions of complex differential equations with solutions of another equation as coefficients ⋮ Growth of solutions of complex differential equations with entire coefficients having a multiply-connected Fatou component ⋮ On a question of Gundersen concerning the growth of solutions of linear differential equations ⋮ On radial distribution of Julia sets of solutions to certain second order complex linear differential equations ⋮ Infinite growth of solutions of second order complex differential equation ⋮ On the relationship between the lower order of coefficients and the growth of solutions of differential equations ⋮ Unnamed Item ⋮ Order and hyper-order of solutions of second order linear differential equations ⋮ The growth of solutions of non-homogeneous linear differential equations ⋮ Growth of solutions of second order complex linear differential equations with entire coefficients ⋮ On [p,q-order of growth of solutions of complex linear differential equations near a singular point]

Cites Work

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• Finite Order Solutions of Second Order Linear Differential Equations
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
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• On the growth of solutions of certain linear differential equations
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• [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]
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• [https://portal.mardi4nfdi.de/wiki/Publication:5751153 On the Growth of Solutions of f � � + gf � + hf = 0]

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