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On the Zeros of a Polynomial

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DOI: 10.4236/am.2011.211189    5,381 Downloads   10,546 Views   Citations

ABSTRACT

In this paper we consider the problem of finding the estimate of maximum number of zeros in a prescribed region and the results which we obtain generalizes and improves upon some well known results.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. Pukhta, "On the Zeros of a Polynomial," Applied Mathematics, Vol. 2 No. 11, 2011, pp. 1356-1358. doi: 10.4236/am.2011.211189.

References

[1] N. K. Govil and Q. I. Rehman, “On the Enstrom Kakeya Theorem,” Tohoku Mathematical Journal, Vol. 20, No. 2, 1968, pp. 126-136. doi:10.2748/tmj/1178243172
[2] Q. G. Mohammad, “On the Zeros of the Polynomials,” American Mathematical Monthly, Vol. 72, No. 6, 1965, pp. 631-633. doi:10.2307/2313853
[3] E. C. Titchmarsh, “The Theory of Functions,” 2nd Edition, Oxford University Press, London, 1939.
[4] K. K. Dewan, “Extremal Properties and Coefficient Estimates for Polynomials with Restricted Zeros and on Location of Zeros of Polynomials,” Ph.D Thesis, Indian Institutes of Technology, Delhi, 1980.

  
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