Non-existence of unbounded Fatou components of a meromorphic function

• Autores: Jian-Hua Zheng, Piyapong Niamsup
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 49, Nº 1, 2009, págs. 1-12
• Idioma: inglés
• DOI: 10.1215/kjm/1248983027
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• Resumen

  • 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.