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 B, for any z in a Fatou domain, there does not exist a sequence {gk} of G such that gk(z)→ ∞ as k → ∞.
| Original language | English |
|---|---|
| Pages (from-to) | 343-351 |
| Number of pages | 9 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 50 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Limit function
- Singularity
- Strictly wandering domain
- Transcendental semigroup
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