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

Vladimir Petrov Kostov

Published 2002-04-23, updated 2003-02-16Version 2

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.

Comments: To appear in Serdica Math. J. 29 (2003)
Journal: Serdica Math. J. 29 (2003), 65-74
Categories: math.AG
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