Sur une question de Bergweiler

Details Sur une question de Bergweiler Sur une question de Bergweiler

2004-08-06

arxiv.org/abs/math/0408084v3

Rend.Sem.Mat.Univ.Padova Volume 114 (2005), 21-27

Mathematics

Complex Variables

Scientific paper

Nous montrons la densite des cycles repulsifs dans l'ensemble de Julia des fonctions meromorphes transcendentes a une variable complexe, sans utiliser le theoreme des cinq iles d'Ahlfors ni la theorie de Nevanlinna. ----- We prove that repelling cycles are dense in the Julia set of one-variable transcendental meromorphic functions, making use nor of Ahlfors' five-island theorem, nor of Nevanlinna's theory

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