Non-existence of unbounded Fatou components of a meromorphic function

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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.
14 pages

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Complex Variables, Dynamical Systems, 30D05

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http://salesiana.dossiersoluciones.com/handle/123456789/142493

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.3051
 http://arxiv.org/abs/0711.3051

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arXiv