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Inequalities for the Polar Derivative of a Polynomial
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 23–27·Published 30 March 2011·DOI10.4236/apm.2011.12006
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Abstract
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
KeywordsPolynomialInequalityPolar Derivative
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