Resultant-Based Method for Overdetermined Strata for Degree 4 hyperbolic Polynomials

Ezzaldine Hayssam; Khalil Houssam; Sarrage Mouhamad; Hossein Mouhamad

doi:10.9734/BJMCS/2015/15865

Research Article Open access CC BY 4.0

Resultant-Based Method for Overdetermined Strata for Degree 4 hyperbolic Polynomials

Ezzaldine Hayssam, Khalil Houssam, Sarrage Mouhamad, Hossein Mouhamad

Journal of Advances in Mathematics and Computer Science · pp. 319–327 · Published 20 Feb 2015

10.9734/BJMCS/2015/15865

Abstract

We present a resultant-based method to calculate the overdetermined strata for degree 4 hyperbolic polynomials in one variable. It is a new method to calculate overdetermined strata. We present also the complete study of the overdetermined strata for degree 4 hyperbolic polynomials by the geometric method.

Hyperbolic polynomials Gegenbauer polynomials overdetermined strata resultants.

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Ezzaldine Hayssam, Khalil Houssam, Sarrage Mouhamad, Hossein Mouhamad (2015). Resultant-Based Method for Overdetermined Strata for Degree 4 hyperbolic Polynomials. Journal of Advances in Mathematics and Computer Science , 319–327. https://doi.org/10.9734/BJMCS/2015/15865

Affiliations

Ezzaldine Hayssam — Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.
Khalil Houssam — Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.
Sarrage Mouhamad — Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.
Hossein Mouhamad — Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.

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