A property of the derivative of an entire function

arxiv: 1107.4245 · v1 · pith:S42J5YPMnew · submitted 2011-07-21 · 🧮 math.CV

Walter Bergweiler , Alexandre Eremenko This is my paper

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keywords derivativeentirefunctionunboundednon-linearpreimagepropertyprove

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We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set.

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