On minimal Rolle's domains for complex polynomials
Complex Variables
2010-01-02 v2
Abstract
Define a subset of the complex plane to be a Rolle's domain if it contains (at least) one critical point of every complex polynomial P such that P(-1)=P(1). Define a Rolle's domain to be minimal if no proper subset is a Rolle's domain. In this paper, we investigate minimal Rolle's domains.
Cite
@article{arxiv.0903.3688,
title = {On minimal Rolle's domains for complex polynomials},
author = {Michael J. Miller},
journal= {arXiv preprint arXiv:0903.3688},
year = {2010}
}
Comments
4 pages, AMS-LaTeX, no figures. v2: corrected Theorem 1, and minor edits