On the Zeros of a Polynomial ()
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.
Share and Cite:
Pukhta, M. (2011) On the Zeros of a Polynomial.
Applied Mathematics,
2, 1356-1358. doi:
10.4236/am.2011.211189.
Conflicts of Interest
The authors declare no conflicts of interest.
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.
|