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  • Author or Editor: G. McTume x
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Abstract  

Let p(z) be a polynomial of degree n and for a complex number α, let D α p(z) = np(z) + (α-z)p'(z) denote the polar derivative of the polynomial p(z) with respect to α. In this paper, we obtain inequalities for the polar derivative of a polynomial having all its zeros in |z| ≤ K. Our results generalize and sharpen a famous inequality of Turn and some other known results in this direction.

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