On a question of Eremenko concerning escaping components of entire functions
classification
🧮 math.DS
math.CV
keywords
boundedentireeremenkoescapingquestionanswercomponentcomponents
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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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