Abstract
This paper is devoted to study of sufficient conditions under which a transcendental meromorphic function has no unbounded Fatou components and to extension of 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 functions with at least one of them being transcendental can be also investigated in terms of the argument of this paper.
Citation
Jian-Hua Zheng. Piyapong Niamsup. "Non-existence of unbounded Fatou components of a meromorphic function." J. Math. Kyoto Univ. 49 (1) 1 - 12, 2009. https://doi.org/10.1215/kjm/1248983027
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