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The buried points on the Julia sets of rational and entire functions 被引量:5

The buried points on the Julia sets of rational and entire functions
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摘要 For rational functions it is proved that the Julia set contains buried components whenever the Julia set is disconnected and the Fatou set has no completely invariant component. For transcendental entire functions of finite type it is proved that the Julia set contains unbounded continua of buried points whenever the Fatou set is disconnected. For rational functions it is proved that the Julia set contains buried components whenever the Julia set is disconnected and the Fatou set has no completely invariant component. For transcendental entire functions of finite type it is proved that the Julia set contains unbounded continua of buried points whenever the Fatou set is disconnected.
作者 乔建永
出处 《Science China Mathematics》 SCIE 1995年第12期1409-1419,共11页 中国科学:数学(英文版)
关键词 iterate PERIOD Julia SET BURIED POINT iterate, period, Julia set, buried point
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