Inequalities for the Polar Derivative of a Polynomial

DOI: 10.4236/apm.2011.12006   PDF   HTML     5,134 Downloads   11,874 Views   Citations


If is a polynomial of degree , having all its zeros in |z|≤K, K≥1 , then it was proved by Aziz and Rather [2] that for every real or complex number with |a| ≥K, . In this paper, we sharpen above result for the polynomials p(z) of degree n>3

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G. Singh, W. Shah and Y. Paul, "Inequalities for the Polar Derivative of a Polynomial," Advances in Pure Mathematics, Vol. 1 No. 2, 2011, pp. 23-27. doi: 10.4236/apm.2011.12006.

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The authors declare no conflicts of interest.


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