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arXiv · 0711.3051

Non-existence of unbounded Fatou components of a meromorphic function

Zheng Jian-Hua·Piyapong Niamsup
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Abstract

This paper is devoted to establish sufficient conditions under which a transcendental meromorphic function has no unbounded Fatou components and to extend some results for entire functions to meromorphic functions. Actually, we shall mainly discuss non-existence of unbounded wandering domains of a meromorphic function. The case for a composition of finitely many meromorphic function with at least one of them being transcendental can be also investigated in the argument of this paper.

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Zheng Jian-Hua, Piyapong Niamsup. 2007-11-20. Non-existence of unbounded Fatou components of a meromorphic function. https://arxiv.org/abs/0711.3051

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