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Universal Journal of Applied Mathematics Vol. 3(2), pp. 15 - 17
DOI: 10.13189/ujam.2015.030201
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Cassini Ovals in Dynamic Geometry of Polynomials


Gagik Aghekyan 1, Karen Sahakyan 2,*
1 Department of Applied Mathematics and Computer Science of Russian-Armenian University, Armenia
2 Department of Mathematics and Mechanics of Yerevan State University, Armenia

ABSTRACT

In this paper, we investigate the behavior of critical points of some polynomials whose roots are the vertices of some parallelogram, in case of rotation two of them on a given circle. In this case, the trajectory is the Cassini ovals.

KEYWORDS
Critical Points, Geometry of Polynomials

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Gagik Aghekyan , Karen Sahakyan , "Cassini Ovals in Dynamic Geometry of Polynomials," Universal Journal of Applied Mathematics, Vol. 3, No. 2, pp. 15 - 17, 2015. DOI: 10.13189/ujam.2015.030201.

(b). APA Format:
Gagik Aghekyan , Karen Sahakyan (2015). Cassini Ovals in Dynamic Geometry of Polynomials. Universal Journal of Applied Mathematics, 3(2), 15 - 17. DOI: 10.13189/ujam.2015.030201.