@Article{ATA-33-1,
author = {},
title = {Some $L^{\gamma}$ Inequalities for the Polar Derivative of a Polynomial},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {1},
pages = {1--10},
abstract = {<p style="text-align: justify;">In this paper, we consider an operator $D_α$ which maps a polynomial $P(z)$ in to $D_αP(z):= np(z)+(α−z)P′(z)$, where $α ∈ \mathcal{C}$ and obtain some $L^{\gamma}$&nbsp;inequalities for
lucanary polynomials having zeros in $|z|≤k≤1$. Our results yields several generalizations
and refinements of many known results and also provide an alternative proof of
a result due to Dewan et al. [7], which is independent of Laguerre’s theorem.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2017.v33.n1.1},
url = {http://global-sci.org/intro/article_detail/ata/4611.html}
}