Year: 1998
Type: article
Abstract: Letf and g be nonlinear entire functions. The relations between the dynamics of f⊗g and g⊗f are discussed. Denote byℐ (·) and F(·) the Julia and Fatou sets. It is proved that if z∈C, then z∈ℐ8464 (f⊗g) if and only if g(z)∈ℐ8464 (g⊗f); if U is a component of F(f○g) and V is the component of F(g○g) that contains g(U), then U is wandering if and only if V is wandering; if U is periodic, then so is V and moreover, V is of the same type according to the classification of periodic components as U. These results are used to show that certain new classes of entire functions do not have wandering domains.
Source: Arkiv för matematik
DOI: 10.1007/bf02385665
Authors: Walter Bergweiler, Yuefei Wang
Language: Swedish
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2024920901