# Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials

Ezzaldine, Hayssam; Kostov, Vladimir Petrov

Serdica Mathematical Journal (2008)

- Volume: 34, Issue: 4, page 743-770
- ISSN: 1310-6600

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topEzzaldine, Hayssam, and Kostov, Vladimir Petrov. "Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials." Serdica Mathematical Journal 34.4 (2008): 743-770. <http://eudml.org/doc/281503>.

@article{Ezzaldine2008,

abstract = {2000 Mathematics Subject Classification: 12D10.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.Research partially supported by research project 20682 for cooperation between CNRS and
FAPESP "Zeros of algebraic polynomials"},

author = {Ezzaldine, Hayssam, Kostov, Vladimir Petrov},

journal = {Serdica Mathematical Journal},

keywords = {Strictly Hyperbolic Polynomial; Gegenbauer Polynomial; Overdetermined Stratum; (strictly) hyperbolic polynomial; Gegenbauer polynomial; overdetermined stratum},

language = {eng},

number = {4},

pages = {743-770},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials},

url = {http://eudml.org/doc/281503},

volume = {34},

year = {2008},

}

TY - JOUR

AU - Ezzaldine, Hayssam

AU - Kostov, Vladimir Petrov

TI - Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials

JO - Serdica Mathematical Journal

PY - 2008

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 34

IS - 4

SP - 743

EP - 770

AB - 2000 Mathematics Subject Classification: 12D10.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.Research partially supported by research project 20682 for cooperation between CNRS and
FAPESP "Zeros of algebraic polynomials"

LA - eng

KW - Strictly Hyperbolic Polynomial; Gegenbauer Polynomial; Overdetermined Stratum; (strictly) hyperbolic polynomial; Gegenbauer polynomial; overdetermined stratum

UR - http://eudml.org/doc/281503

ER -

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