Please use this identifier to cite or link to this item: https://doi.org/10.1017/S0305004107000060
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dc.titleUniformly bounded components of normality
dc.contributor.authorWang, X.
dc.contributor.authorZhou, W.
dc.date.accessioned2014-10-28T05:16:24Z
dc.date.available2014-10-28T05:16:24Z
dc.date.issued2007-07
dc.identifier.citationWang, X., Zhou, W. (2007-07). Uniformly bounded components of normality. Mathematical Proceedings of the Cambridge Philosophical Society 143 (1) : 85-101. ScholarBank@NUS Repository. https://doi.org/10.1017/S0305004107000060
dc.identifier.issn03050041
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/105452
dc.description.abstractSuppose that f(z) is a transcendental entire function and that the Fatou set F(f) ‡ ∅. Set B1(f):=supU sup z∈U log(|z| + 3)/infw∈U log(|w| + 3) and B 2(f):=supU supz∈U log(|z| + 30)/inf w∈U log(|w| + 3), where the supremum supU is taken over all components of F(f). If B1(f) < ∞ or B 2(f) < ∞, 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. © 2007 Cambridge Philosophical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1017/S0305004107000060
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentSTATISTICS & APPLIED PROBABILITY
dc.description.doi10.1017/S0305004107000060
dc.description.sourcetitleMathematical Proceedings of the Cambridge Philosophical Society
dc.description.volume143
dc.description.issue1
dc.description.page85-101
dc.identifier.isiut000248782200007
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