Boundedness of components of Fatou sets of entire and meromorphic functions (Q1777553)

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scientific article; zbMATH DE number 2170640
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Boundedness of components of Fatou sets of entire and meromorphic functions
scientific article; zbMATH DE number 2170640

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    Boundedness of components of Fatou sets of entire and meromorphic functions (English)
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    23 May 2005
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    Let \(f\) be an entire or a meromorphic function. Concerning the iterated dynamical system of \(f\), the stable set is defined to be the Fatou set. Each component of Fatou set is called a Fatou component. The authors investigate the boundedness of the Fatou components, and prove some results under some conditions.
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    entire function
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    iteration
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    wandering domain
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    order
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