On the Fatou components of two permutable transcendental entire functions

DOI10.1016/S0022-247X(02)00664-9zbMath1024.30013MaRDI QIDQ1874566

Chung-Chun Yang, Xiao-Ling Wang

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

entire functionJulia setFatou setpermutable

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

Permutable functions concerning differential equations II ⋮ Permutable functions concerning differential equations ⋮ Dynamics of permutable transcendental entire functions

Cites Work

• Dynamical properties of some classes of entire functions
• Some applications of the transfinite diameter to the theory of functions
• Wandering Domains in the Iteration of Entire Functions
• On periodic stable domains of permutable rational functions
• On semiconjugation of entire functions
• Iteration of meromorphic functions
• Dynamical behavior of two permutable entire functions
• ON WANDERING AND BAKER DOMAINS OF TRANSCENDENTAL ENTIRE FUNCTIONS
• On the Julia set of analytic self-maps of the punctured plane
• Unbounded domains of normality of entire functions of small growth
• Dynamics of permutable transcendental entire functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Fatou components of two permutable transcendental entire functions