On a Problem of A. Eremenko

Date

2005-05

Authors

Ostrovskii, I. V.

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Abstract

Let Pmn, 0 < m < n− 1, be a polynomial formed by the first m terms of the expansion of (1 + z)n according to the binomial formula. We show that, if m, n→∞ in such a way that limm,n→∞ m/n = α ∈ (0, 1), then the zeros of Pmn tend to a curve which can be explicitly described.

Source Title

Computational Methods and Function Theory

Publisher

Springer

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Citation

Published Version (Please cite this version)

Language

English