Bull. Korean Math. Soc. 2013; 50(1): 343-351
Printed January 31, 2013
https://doi.org/10.4134/BKMS.2013.50.1.343
Copyright © The Korean Mathematical Society.
Zhi Gang Huang and Tao Cheng
Suzhou University of Science and Technology, East China Normal University
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 $\mathfrak{B}$, for any $z$ in a Fatou domain, there does not exist a sequence $\{g_k\}$ of $G$ such that $g_k(z)\rightarrow\infty$ as $k\rightarrow\infty$.
Keywords: transcendental semigroup, strictly wandering domain, limit function, singularity
MSC numbers: 37F10, 30D05
2003; 40(3): 365-371
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