On arrangements of real roots of a real polynomial and its derivatives

2002/04/30 by Vladimir Petrov Kostov
Mathematics · #math.AG

paper · pdf

published as Serdica Math. J. 29 (2003), 65-74 · To appear in Serdica Math. J. 29 (2003)

arxiv created 2003/02/16 · arxiv updated 2009/11/30

Abstract

We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realizable by real polynomials.

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