Limiting directions of Julia sets of entire solutions to complex differential equations

DOI10.1016/S0252-9602(16)30118-7zbMath1389.37026OpenAlexW2561555606WikidataQ123142493 ScholiaQ123142493MaRDI QIDQ2408883

Jun Wang, Zong Xuan Chen

Publication date: 20 October 2017

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(16)30118-7

zbMATH Keywords

entire functionJulia setlinear differential equation

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (13)

On Julia limiting directions in higher dimensions ⋮ On transcendental directions of entire solutions of linear differential equations ⋮ Julia limiting directions of entire solutions of complex differential equations ⋮ Unnamed Item ⋮ Lower order and limiting directions of Julia sets of solutions to second order differential equations ⋮ Radial distribution of Julia sets of entire solutions to complex difference equations ⋮ Infinite growth of solutions of second order complex differential equations with entire coefficient having dynamical property ⋮ Infinite growth of solutions of second order complex differential equation ⋮ Unnamed Item ⋮ A note on \(q\)-difference operator and related limit direction ⋮ Growth of meromorphic solutions of linear difference equations without dominating coefficients ⋮ A note on the Julia sets of entire solutions to delay differential equations ⋮ On Petrenko's deviations and the Julia limiting directions of solutions of complex differential equations

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