On the dynamics of composite entire functions

DOI10.1007/BF02385665zbMath0906.30025MaRDI QIDQ1127063

Walter Bergweiler, Yue Fei Wang

Publication date: 22 February 1999

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

wandering domainsFatou sets

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20)

Related Items (15)

Semigroups of transcendental entire functions and their dynamics ⋮ The dynamics of semigroups of transcendental entire functions. II ⋮ Note on wandering domains in the dynamics of solutions of certain difference equations ⋮ Julia sets of permutable holomorphic maps ⋮ Wandering domains in the transcendental dynamics ⋮ On the dynamics of composition of transcendental entire functions in angular region ⋮ Results on escaping set of an entire function and its composition ⋮ On the growth of transcendental entire functions with multiply connected components ⋮ The dynamics of semigroups of transcendental entire functions. I ⋮ Existence of wandering and periodic domain in given angular region ⋮ Dynamics of composite mappings ⋮ On the singularities of composition of entire functions ⋮ Unnamed Item ⋮ Wandering domains for composition of entire functions ⋮ Wandering domains in the dynamics of certain meromorphic functions

Cites Work

• Asymptotic spots of entire and meromorphic functions
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Iterates of meromorphic functions. IV: Critically finite functions
• On the singularities of the inverse to a meromorphic function of finite order
• Rational iteration: complex analytic dynamical systems
• Newton's method and a class of meromorphic functions without wandering domains
• Some entire functions with multiply-connected wandering domains
• A finiteness theorem for a dynamical class of entire functions
• Iteration of meromorphic functions
• Weakly repelling fixpoints and the connectivity of wandering domains
• A class of meromorphic functions with no wandering domains
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