Some Inequalities on Polar Derivative of Polynomial Having No Zero in a Disc ()
ABSTRACT
Let , , be a polynomial of degree n having no zero in , , then Qazi [Proc. Amer. Math. Soc., 115 (1992), 337-343] proved
.
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. [Southeast Asian Bull. Math., 27 (2003), 591-597] to polar derivative.
Share and Cite:
Chanam, B. (2015) Some Inequalities on Polar Derivative of Polynomial Having No Zero in a Disc.
Advances in Pure Mathematics,
5, 796-803. doi:
10.4236/apm.2015.513073.
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