Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials

Ezzaldine, 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 -