A density result concerning inverse polynomial images

Klaus Schiefermayr

doi:10.1090/s0002-9939-2013-11770-3

A density result concerning inverse polynomial images

Klaus Schiefermayr

Research Center Wels

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	539-545
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	2
DOIs	https://doi.org/10.1090/s0002-9939-2013-11770-3
Publication status	Published - 2014

Keywords

Density result
Inverse polynomial image
Jacobian elliptic function
Jordan arc

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10.1090/s0002-9939-2013-11770-3

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KW - Jacobian elliptic function

KW - Jordan arc

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A density result concerning inverse polynomial images

Abstract

Keywords

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