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arxiv: 1411.2719 · v1 · pith:P4ZLN42Anew · submitted 2014-11-11 · 🧮 math.CV

Entire functions sharing simple a-points with their first derivative II

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keywords complexderivativeentirepointssharesimplearounddiscuss
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We discuss some results around the following question: Let $f$ be a nonconstant complex entire function and $a$, $b$ two distinct complex numbers. If $f$ and its derivative $f'$ share their simple $a$-points and also share the value $b$, does this imply $f\equiv f'$?

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