TITLE:
Some Inequalities on Polar Derivative of Polynomial Having No Zero in a Disc
AUTHORS:
Barchand Chanam
KEYWORDS:
Polynomials, Inequalities, Polar Derivative of a Polynomial, Zeros
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.13,
November
17,
2015
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.