TITLE:
Polar Derivative Versions of Polynomial Inequalities
AUTHORS:
Barchand Chanam
KEYWORDS:
Polynomials, Polar Derivative of a Polynomial, Zeros, Extremal Polynomials
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.12,
October
20,
2015
ABSTRACT: Let be a polynomial of degree n and for a complex number , let denote the polar derivative of the polynomial with respect to . In this paper, first we extend as well as generalize the result proved by Dewan and Mir [Inter. Jour. Math. and Math. Sci., 16 (2005), 2641-2645] to polar derivative. Besides, another result due to Dewan et al. [J. Math. Anal. Appl. 269 (2002), 489-499] is also extended to polar derivative.