On location of zeros of the first derivative

Rados Bakic

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arXiv · 1510.06586

On location of zeros of the first derivative

Rados Bakic

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Abstract

Let p(z) be a complex polynomial of degree n. Let C be a circle containing its n-1 zeros, having its center in the centroid of these zeros. We prove that C must contain at least int((n-1):2) zeros of its derivative.

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Rados Bakic. 2015-10-22. On location of zeros of the first derivative. https://arxiv.org/abs/1510.06586

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