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A property of the derivative of an entire function
derivative of an entire function Complex Variables
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2011/9/16
Abstract: We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set.
On the set where the iterates of an entire function are bounded
set entire function
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2011/1/19
We show that for a transcendental entire function the set of points whose orbit under iteration is bounded can have arbitrarily small positive Hausdorff dimension.