SINGULARITIES AND STRICTLY WANDERING DOMAINS OF TRANSCENDENTAL SEMIGROUPS

Title & Authors
SINGULARITIES AND STRICTLY WANDERING DOMAINS OF TRANSCENDENTAL SEMIGROUPS
Huang, Zhi Gang; Cheng, Tao;

Abstract
In this paper, the dynamics on a transcendental entire semigroup G is investigated. We show the possible values of any limit function of G in strictly wandering domains and Fatou components, respectively. Moreover, if G is of class $\small{\mathfrak{B}}$, for any $\small{z}$ in a Fatou domain, there does not exist a sequence $\small{\{g_k\}}$ of G such that $\small{g_k(z){\rightarrow}{\infty}}$ as $\small{k{\rightarrow}{\infty}}$.
Keywords
transcendental semigroup;strictly wandering domain;limit function;singularity;
Language
English
Cited by
1.
The dynamics of semigroups of transcendental entire functions I, Indian Journal of Pure and Applied Mathematics, 2015, 46, 1, 11
2.
Semigroups of transcendental entire functions and their dynamics, Proceedings - Mathematical Sciences, 2017, 127, 2, 349
3.
The dynamics of semigroups of transcendental entire functions II, Indian Journal of Pure and Applied Mathematics, 2016, 47, 3, 409
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