Some properties of Fatou and Julia sets of transcendental meromorphic functions
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Publication:3153715
DOI10.1017/S000497270002061XzbMath1002.37022WikidataQ122603009 ScholiaQ122603009MaRDI QIDQ3153715
Jian-Hua Zheng, Sheng Wang, Zhi-Gang Huang
Publication date: 15 January 2003
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (16)
On Julia limiting directions in higher dimensions ⋮ On transcendental directions of entire solutions of linear differential equations ⋮ On radial distributions of Julia sets of Newton's method of solutions of complex differential equations ⋮ Julia limiting directions of entire solutions of complex differential equations ⋮ Complex Dynamical Properties of Some Special Entire Functions ⋮ Lower order and limiting directions of Julia sets of solutions to second order differential equations ⋮ Entire solutions of higher order differential equations with entire coefficients having the same order ⋮ On Julia limiting directions of meromorphic functions ⋮ Radial distribution of Julia sets of entire solutions to complex difference equations ⋮ On the radial distribution of Julia sets of entire solutions of \(f^{(n)} + A(z)f = 0\) ⋮ On radial distribution of Julia sets of solutions to certain second order complex linear differential equations ⋮ On limit directions of Julia sets of entire solutions of linear differential equations ⋮ Unnamed Item ⋮ A note on \(q\)-difference operator and related limit direction ⋮ 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
Cites Work
- On the growth of meromorphic functions with two radially distributed values
- On the Growth of Meromorphic Functions With Several Deficient Values
- Iteration of meromorphic functions
- Unbounded domains of normality of entire functions of small growth
- Sets of Non-Normality in Iteration Theory
- Proof of Edrei's Spread Conjecture
- On the Iteration of Functions Which are Analytic and Single-Valued in a Given Multiply-Connected Region
- Meromorphic Functions with Three Radially Distributed Values
- On the non-existence of unbounded domains of normality of meromorphic functions
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