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arXiv · 2108.12638

Functions with No Unbounded Fatou Components

Ramanpreet Kaur
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Abstract

For a transcendental entire function, a partial affirmative answer to Baker's question on the boundedness of its Fatou components is given. In addition, we have addressed Wang's question on Fej\'er gaps. Certain results about functions with Fabry gaps and of infinite order have also been generalized.

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Ramanpreet Kaur. 2021-08-28. Functions with No Unbounded Fatou Components. https://doi.org/10.1080/17476933.2022.2041607

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