%0 Journal Article
%T Some Inequalities on Polar Derivative of Polynomial Having No Zero in a Disc
%A Barchand Chanam
%J Advances in Pure Mathematics
%P 796-803
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.513073
%X <p>
	Let <img alt=\"\" src=\"Edit_509012e8-45f1-4e23-95e7-aefcdfd336b3.jpg\" />, <img alt=\"\" src=\"Edit_4e5b47b0-74c6-4f13-b471-ff7a3f36300c.jpg\" />, be a polynomial of degree <em>n</em> having no zero in <img alt=\"\" src=\"Edit_2c04c073-4106-4b2a-abd0-ddefd781eb0a.jpg\" />, <img alt=\"\" src=\"Edit_02da3529-097c-4a25-8ac0-2c158907f231.jpg\" />, then Qazi [<em>Proc. Amer. Math. Soc.</em>, 115 (1992), 337-343] proved
</p>
<p align=\"center\">
	<img alt=\"\" src=\"Edit_34c7afd3-fef5-49d0-8854-07ea672304eb.jpg\" />.
</p>
<p>
	In this paper, we first extend the above inequality to polar derivative of a polynomial. Further, as an application of our result, we extend a result due to Dewan et al. [<em>Southeast Asian Bull. Math.</em>, 27 (2003), 591-597] to polar derivative.
</p>
%K Polynomials
%K Inequalities
%K Polar Derivative of a Polynomial
%K Zeros
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=61179