Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials


Autoria(s): Ezzaldine, Hayssam; Kostov, Vladimir Petrov
Data(s)

21/07/2016

21/07/2016

2008

Resumo

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"

Identificador

Serdica Mathematical Journal, Vol. 34, No 4, (2008), 743p-770p

1310-6600

http://hdl.handle.net/10525/2625

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Strictly Hyperbolic Polynomial #Gegenbauer Polynomial #Overdetermined Stratum
Tipo

Article