Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials
Authors: Ezzaldine, HayssamKostov, Vladimir Petrov 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.Publisher:
Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: Strictly Hyperbolic PolynomialGegenbauer PolynomialOverdetermined Stratum
Issue Date: 2008
Citation:
Serdica Mathematical Journal, Vol. 34, No 4, (2008), 743p-770p URI:
http://hdl.handle.net/10525/2625
ISSN: 1310-6600
Note:
2000 Mathematics Subject Classification: 12D10.
Sponsorship:
Research partially supported by research project 20682 for cooperation between CNRS and
FAPESP "Zeros of algebraic polynomials"
Language: en
Type: Article