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On a question of Eremenko concerning escaping components of entire functions
Author(s) -
Rempe Lasse
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdm053
Subject(s) - mathematics , epistemology , philosophy
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.