On location of zeros of the first derivative
Complex Variables
2015-10-23 v1
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.
Cite
@article{arxiv.1510.06586,
title = {On location of zeros of the first derivative},
author = {Rados Bakic},
journal= {arXiv preprint arXiv:1510.06586},
year = {2015}
}