On a question of Eremenko concerning escaping components of entire functions

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dc.creatorRempe, Lasse
dc.date2006-10-15
dc.date2007-03-16
dc.date.accessioned2026-07-07T08:48:26Z
dc.date.available2026-07-07T08:48:26Z
dc.descriptionLet f be an entire function with a bounded set of singular values, and suppose furthermore that the postsingular set of f is bounded. We show that every component of the escaping set I(f) is unbounded. This provides a partial answer to a question of Eremenko.
dc.description7 pages; 1 figure. V2: Final version (some minor changes)
dc.identifierhttps://arxiv.org/abs/math/0610453
dc.identifierhttp://arxiv.org/abs/math/0610453
dc.identifierBull. London Math. Soc. 39 (2007), no. 4, 661 - 666
dc.identifierdoi:10.1112/blms/bdm053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143944
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F10; 30D05
dc.titleOn a question of Eremenko concerning escaping components of entire functions
dc.typetext

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