Cauchy Type Results Concerning Location of Zeros of Polynomials
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Abstract
In this paper, we prove some improvements and generalizations of the classical Cauchy's theorem, Enestrom-Kakeya's theorem and some other well known results.
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Bidkham, M., & Soleiman Mezerji, H.
(2014).
Cauchy Type Results Concerning Location of Zeros of Polynomials.
Acta Mathematica Universitatis Comenianae, 83(2), 267-279.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/92/75
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References
1. A. Aziz, A. Qayoom, Estimates for the modulii of the zeros of a polynomial, Mathematical inequalities and applications, vol. 9, No. 1 (2006), 107-116.
2. A. Aziz, B. A. Zargar, Some extensions of Enestrom-Kakeya theorem, Glasnik Matematicki 31 (1996), 239-244.
3. M. Dehmer, On the location of zeros of complex polynomials, J. Inequal. Pure and Appl. Math., 7(1) Art. 26, 2006.
4. N. K. Govil, Q. I. Rahman, On the Enestrom-Kakeya theorem, Tohoku Math. Journ. 20 (1968), 126-136.
5. A. Joyal, G. Labelle and Q. I. Rahman, On the location of zeros of polynomials, Cand. Math. Bull. 10 (1967), 53-63.
6. M. Marden, Geometry of polynomials, Math. Surveys, No. 3; Amer. Math. Soc. Providence R. I., 1966.
7. W. M. Shah, A. Liman, On Enestrom-Kakeya theorem and related analytic function, Proc. Indian Acad. Sci. (Math. Sci) Vol. 117, No. 3, (2007), 359-370.
2. A. Aziz, B. A. Zargar, Some extensions of Enestrom-Kakeya theorem, Glasnik Matematicki 31 (1996), 239-244.
3. M. Dehmer, On the location of zeros of complex polynomials, J. Inequal. Pure and Appl. Math., 7(1) Art. 26, 2006.
4. N. K. Govil, Q. I. Rahman, On the Enestrom-Kakeya theorem, Tohoku Math. Journ. 20 (1968), 126-136.
5. A. Joyal, G. Labelle and Q. I. Rahman, On the location of zeros of polynomials, Cand. Math. Bull. 10 (1967), 53-63.
6. M. Marden, Geometry of polynomials, Math. Surveys, No. 3; Amer. Math. Soc. Providence R. I., 1966.
7. W. M. Shah, A. Liman, On Enestrom-Kakeya theorem and related analytic function, Proc. Indian Acad. Sci. (Math. Sci) Vol. 117, No. 3, (2007), 359-370.