##### 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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