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A density result concerning inverse polynomial images

2013/06/25 by Klaus Schiefermayr, Schiefermayr, Klaus
Mathematics · #Advanced Combinatorial Mathematics #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.CV

paper · pdf · doi:10.48550/arxiv.1306.5875

arxiv created 2013/06/25 · openalex publication_date 2013/06/25 · arxiv updated 2013/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider polynomials of degree n, for which the inverse image of [-1,1] consists of two Jordan arcs. We prove that the four endpoints of these arcs form an \cal O(1/n)-net in the complex plane.

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