TY - JOUR T1 - Some Inequalities Concerning the Polar Derivative of a Polynomial-II JO - Analysis in Theory and Applications VL - 4 SP - 384 EP - 389 PY - 2013 DA - 2013/11 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n4.7 UR - https://global-sci.org/intro/article_detail/ata/4532.html KW - Polar derivative of a polynomial. AB -

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.