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Department of Mathematics,
University of California San Diego

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Math 295 - Mathematics Colloquium

J. Milne Anderson

University College, London University

The Logarithmic Derivative of a Polynomial 

Abstract:

If $Q_N(z)$ is a polynomial of degree $N$ and $P > 0$, then estimates for the size of the set where the logarithmic derivative $Q'(z)/Q(z)$ has modulus greater than P are given in terms of $P$ and $N$. These estimates are shown to be essentially the best possible. This is joint work with V. Ya. Eiderman.

Host: James Bunch

January 22, 2009

3:00 PM

AP&M 6402

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