On Root Arrangements of Polynomial-Like Functions and their Derivatives
Kostov, Vladimir (2005)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We show that for n = 4 they are realizable either by hyperbolic polynomials of degree 4 or by non-hyperbolic polynomials of degree 6 whose fourth derivatives never vanish (these are a particular case of the so-called hyperbolic polynomial-like functions of degree 4).