A density result concerning inverse polynomial images

Schiefermayr, Klaus

doi:10.1090/S0002-9939-2013-11770-3

A density result concerning inverse polynomial images
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Proc. Amer. Math. Soc. 142 (2014), 539-545 Request permission

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 ${\mathcal O}(1/n)$-net in the complex plane.

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