Uniformly bounded components of normality

• Autores: Xiaoling Wang, Wang Zhou
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 1, 2007, págs. 85-101
• Idioma: inglés
• DOI: 10.1017/s0305004107000060
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• Resumen

  • Suppose that f(z) is a transcendental entire function and that the Fatou set F(f)?. Set and where the supremum supU is taken over all components of F(f). If B1(f)<8 or B2(f)<8, then we say F(f) is strongly uniformly bounded or uniformly bounded respectively. We show that, under some conditions, F(f) is (strongly) uniformly bounded.