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.