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On minimal Rolle's domains for complex polynomials

Year: 2009

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0903.3688

Author: Miller, Michael J.

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1662310855

Cites: 1

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Related to: 10