TY - JOUR
T1 - Some Inequalities Concerning the Polar Derivative of a Polynomial-II
AU - A. Mir & B. Dar
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 - <p style="text-align: justify;">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&#39;s theorem, of an inequality concerning the polar derivative of a polynomial.</p>