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Singularities and strictly wandering domains of transcendental semigroups

Zhi Gang Huang|Tao Cheng
대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회보 (Bulletin of the KMS)|제50권 제1호|pp. 343-351

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참고문헌

키워드

singularitytranscendental semigroupstrictly wandering domainlimit function
주제분류수학

초록

In this paper, the dynamics on a transcendental entire semi- group 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 → ∞.

Abstract

In this paper, the dynamics on a transcendental entire semi- group 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 → ∞.

참고문헌 (17)

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