On the Enestrom-Kakeya theorem
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Abstract
In this paper, we obtain some renements of a well-known result of Enestrom-Kakeya concerning the bounds for the moduli of thezeros of polynomials with complex coecients which among things also improve upon some known results in this direction.
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Gulzar, S., & Rather, N.
(2014).
On the Enestrom-Kakeya theorem.
Acta Mathematica Universitatis Comenianae, 83(2), 291-302.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/18/90
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References
[1] N. Anderson, E. B. Sa, R. S. Verga, On the Enestrom-Kakeya theorem and its sharpness, Linear Algebra and Applications 28 (1979), 5-16.
[2] N. Anderson, E. B. Sa, R. S. Verga, An extension of the Enestrom-Kakeya theorem and its sharpness, SIAM J. Math. Anal., 12 (1981), 10-22.
[3] A. Aziz and Q. G. Mohammad, On the zeros of certain class of polynomials and related analytic functions,J. Math. Anal. Appl., 75 (1980), 495-502.
[4] A. Aziz and Q. G. Mohammad, Zero free regions for polynomials and some generalizations of Enestrom-Kakeya theorem, Canad. Math. Bull., 2 (1984) 265-272.
[5] G. T. Cargo and O. Shisha, Zeros of polynomials and fractional order dierences of their coecients, J. Math. Anal. Appl., 7 (1963) 176-182.
[6] N. K. Govil and Q. I. Rahman, On the Enestrom-Kakeya theorem , Tohuku Math. J., 20 (1968) 126-136.
[7] M. Kovacevic and I. Milovanovic , On a generalization of the Enestrom-Kakeya theorem, Pure Math. and Applic. Ser. A 3(1992), 543-47.
[8] P. V. Krishnaih, On the Enestrom-Kakeya theorem, J. London Math. Soc., 30 (1955) 314-319.
[9] M. Marden, Geometry of Polynomials, Math. Surveys No. 3, Amer. Math. Soc. Providence R. I. 1966.
[10] G. V. Milovanovic, D. S. Mitrinovic and Th. M. Rassias, Topics in Polynomials: Extremal Properties, Inequalities, Zeros, World scientic Publishing Co., Singapore, (1994).
[11] N. A. Rather, Shakeel A. Simnani, M. I. Mir, On the Enestrom-Kakeya theorem, Int. J. Pure and Appl. Math., 41 (2007) 807-815.
[2] N. Anderson, E. B. Sa, R. S. Verga, An extension of the Enestrom-Kakeya theorem and its sharpness, SIAM J. Math. Anal., 12 (1981), 10-22.
[3] A. Aziz and Q. G. Mohammad, On the zeros of certain class of polynomials and related analytic functions,J. Math. Anal. Appl., 75 (1980), 495-502.
[4] A. Aziz and Q. G. Mohammad, Zero free regions for polynomials and some generalizations of Enestrom-Kakeya theorem, Canad. Math. Bull., 2 (1984) 265-272.
[5] G. T. Cargo and O. Shisha, Zeros of polynomials and fractional order dierences of their coecients, J. Math. Anal. Appl., 7 (1963) 176-182.
[6] N. K. Govil and Q. I. Rahman, On the Enestrom-Kakeya theorem , Tohuku Math. J., 20 (1968) 126-136.
[7] M. Kovacevic and I. Milovanovic , On a generalization of the Enestrom-Kakeya theorem, Pure Math. and Applic. Ser. A 3(1992), 543-47.
[8] P. V. Krishnaih, On the Enestrom-Kakeya theorem, J. London Math. Soc., 30 (1955) 314-319.
[9] M. Marden, Geometry of Polynomials, Math. Surveys No. 3, Amer. Math. Soc. Providence R. I. 1966.
[10] G. V. Milovanovic, D. S. Mitrinovic and Th. M. Rassias, Topics in Polynomials: Extremal Properties, Inequalities, Zeros, World scientic Publishing Co., Singapore, (1994).
[11] N. A. Rather, Shakeel A. Simnani, M. I. Mir, On the Enestrom-Kakeya theorem, Int. J. Pure and Appl. Math., 41 (2007) 807-815.