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Title: Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials
Authors: Ezzaldine, Hayssam
Kostov, Vladimir Petrov
Keywords: Strictly Hyperbolic Polynomial
Gegenbauer Polynomial
Overdetermined Stratum
Issue Date: 2008
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 34, No 4, (2008), 743p-770p
Abstract: In the present paper we consider degree 6 hyperbolic polynomials (HPs) in one variable (i.e. real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and/or its derivatives is higher than expected. We give the complete study of the four families of such degree 6 even HPs and also of HPs which are primitives of degree 5 HPs.
Description: 2000 Mathematics Subject Classification: 12D10.
ISSN: 1310-6600
Appears in Collections:Volume 34, Number 4

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