Universal Journal of Mathematics and Mathematical Sciences
Volume 9, Issue 3 - 4, Pages 93 - 103
(October 2016) http://dx.doi.org/10.17654/UM0090340093 |
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ZERO-FREE REGIONS FOR POLAR DERIVATIVE OF POLYNOMIALS
C. Gangadhar, G. L. Reddy and P. Ramulu
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Abstract: In this paper, we establish some extension of the Eneström-Kakeya theorem according to which if is a polynomial of degree n such that then does not vanish in By using this theorem, we find zero-free region for polar derivative of by taking monotone coefficients. |
Keywords and phrases: zeros of polynomial, Eneström-Kakeya theorem, polar derivative:
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