Some Inequalities Concerning the Polar Derivative of a Polynomial-II

Abstract

In this paper, we consider the class of polynomials $P(z)=a_{n}z^{n}+\sum_{\nu=\mu}^{n}a_{n-\nu}z^{n-\nu}$, $1\leq \mu\leq n$, having all zeros in $|z|\leq k$, $k\leq 1$ and thereby present an alternative proof, independent of Laguerre's theorem, of an inequality concerning the polar derivative of a polynomial.