Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps

We prove that composite transcendental entire functions with certain gaps have no unbounded Fatou component.

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Bibliographic Details
Main Authors: Cunji Yang, Shaoming Wang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/149182
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author Cunji Yang
Shaoming Wang
author_facet Cunji Yang
Shaoming Wang
author_sort Cunji Yang
collection DOAJ
description We prove that composite transcendental entire functions with certain gaps have no unbounded Fatou component.
format Article
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institution OA Journals
issn 1026-0226
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language English
publishDate 2015-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-2c97d2f827db4060afaea509f7237da82025-08-20T02:24:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/149182149182Bounded Fatou Components of Composite Transcendental Entire Functions with GapsCunji Yang0Shaoming Wang1Department of Mathematics and Computer Sciences, Dali University, Dali, Yunnan 671003, ChinaDepartment of Mathematics and Computer Sciences, Dali University, Dali, Yunnan 671003, ChinaWe prove that composite transcendental entire functions with certain gaps have no unbounded Fatou component.http://dx.doi.org/10.1155/2015/149182
spellingShingle Cunji Yang
Shaoming Wang
Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps
Discrete Dynamics in Nature and Society
title Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps
title_full Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps
title_fullStr Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps
title_full_unstemmed Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps
title_short Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps
title_sort bounded fatou components of composite transcendental entire functions with gaps
url http://dx.doi.org/10.1155/2015/149182
work_keys_str_mv AT cunjiyang boundedfatoucomponentsofcompositetranscendentalentirefunctionswithgaps
AT shaomingwang boundedfatoucomponentsofcompositetranscendentalentirefunctionswithgaps