On minimal Rolle's domains for complex polynomials

Michael J. Miller

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arXiv · 0903.3688

On minimal Rolle's domains for complex polynomials

Michael J. Miller

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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.

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Michael J. Miller. 2010-01-02. On minimal Rolle's domains for complex polynomials. https://arxiv.org/abs/0903.3688

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