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A density result concerning inverse polynomial images

Published 25 Jun 2013 in math.CV | (1306.5875v1)

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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