On a Question of Eremenko concerning Escaping Components of Entire Functions
نویسنده
چکیده
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.
منابع مشابه
On a Question of Eremenko concerning Escaping Sets of Entire Functions (draft)
Let f be an entire function of finite order whose set of singular values is bounded or, more generally, a finite composition of such functions. We show that every escaping point of f can be connected to ∞ by a curve in I(f). This provides a positive answer to a question of Eremenko for a large class of entire functions.
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