On minimal Rolle's domains for complex polynomials

Details On minimal Rolle's domains for complex polynomials On minimal Rolle's domains for complex polynomials

2009-03-21

arxiv.org/abs/0903.3688v2

Mathematics

Complex Variables

4 pages, AMS-LaTeX, no figures. v2: corrected Theorem 1, and minor edits

Scientific paper

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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