A density result concerning inverse polynomial images

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3 Citations (Scopus)

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 O (1/n)-net in the complex plane.

Original languageEnglish
Pages (from-to)539-545
Number of pages7
JournalProceedings of the American Mathematical Society
Volume142
Issue number2
DOIs
Publication statusPublished - 2014

Keywords

  • Density result
  • Inverse polynomial image
  • Jacobian elliptic function
  • Jordan arc

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