Non-existence of unbounded Fatou components of a meromorphic function

Details Non-existence of unbounded Fatou components of a meromorphic function Non-existence of unbounded Fatou components of a meromorphic function

2007-11-20

arxiv.org/abs/0711.3051v1

Mathematics

Complex Variables

14 pages

Scientific paper

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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