Inequalities for the polar derivative of a polynomial

N. A. Rather; Suhail Gulzar

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arXiv · 1303.0068

Inequalities for the polar derivative of a polynomial

N. A. Rather·Suhail Gulzar

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Abstract

Let $ P(z) $ be a polynomial of degree $ n $ and for any real or complex number $\alpha,$ let $D_\alpha P(z)=nP(z)+(\alpha-z)P^{\prime}(z)$ denote the polar derivative with respect to $\alpha.$ In this paper, we obtain generalizations of some inequalities for the polar derivative of a polynomial.

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N. A. Rather, Suhail Gulzar. 2013-03-01. Inequalities for the polar derivative of a polynomial. https://arxiv.org/abs/1303.0068

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