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Sur une question de Bergweiler

Claudio Meneghini
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Abstract

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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Claudio Meneghini. 2004-11-04. Sur une question de Bergweiler. https://arxiv.org/abs/math/0408084

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