On a question of Eremenko concerning escaping components of entire functions

Lasse Rempe

doi:10.1112/blms/bdm053

On a question of Eremenko concerning escaping components of entire functions

Lasse Rempe

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let 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.

Original language	English
Pages (from-to)	661-666
Number of pages	6
Journal	Bulletin of the London Mathematical Society
Volume	39
Issue number	4
DOIs	https://doi.org/10.1112/blms/bdm053
Publication status	Published - 22 Jun 2007

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abstract = "Let 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.",

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On a question of Eremenko concerning escaping components of entire functions

Abstract

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