On the lemniscate components containing no critical points of a polynomial except for its zeros

Details On the lemniscate components containing no critical points of a polynomial except for its zeros On the lemniscate components containing no critical points of a polynomial except for its zeros

2012-04-06

arxiv.org/abs/1204.1404v1

Mathematics

Complex Variables

Scientific paper

We prove a sharp inequality for the modulus of the logarithmic derivative of
a polynomial in the lemniscate components containing no critical points.

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