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2015•Discrete Dynamics in Nature and SocietyOpen access

Bounded Fatou Components of Composite Transcendental Entire Functions with Gaps

Cunji Yang, Shaoming Wang

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Abstract

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

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What this paper is about

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

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Available abstract

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

Key concepts: Transcendental number, Bounded function, Mathematics, Composite number, Transcendental function, Entire function, Pure mathematics, Mathematical analysis

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