Inequalities for the polar derivative of a polynomial

N. A. Rather, Suhail Gulzar

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…