Ingularities and strictly wandering domains of transcendental semigroups

Zhi Gang Huang; Tao Cheng

doi:10.4134/BKMS.2013.50.1.343

Ingularities and strictly wandering domains of transcendental semigroups

Zhi Gang Huang
, Tao Cheng

数学科学学院

Suzhou University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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 → ∞.

源语言	英语
页（从-至）	343-351
页数	9
期刊	Bulletin of the Korean Mathematical Society
卷	50
期	1
DOI	https://doi.org/10.4134/BKMS.2013.50.1.343
出版状态	已出版 - 2013

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10.4134/BKMS.2013.50.1.343

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KW - Limit function

KW - Singularity

KW - Strictly wandering domain

KW - Transcendental semigroup

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DO - 10.4134/BKMS.2013.50.1.343

M3 - 文章

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Ingularities and strictly wandering domains of transcendental semigroups

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