Polar Derivative Versions of Polynomial Inequalities

Barchand  Chanam

doi:10.4236/apm.2015.512068

Barchand Chanam^*

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.

Keywords: Polynomials, Polar Derivative of a Polynomial, Zeros, Extremal Polynomials

Cite this paper: Chanam, B. (2015) Polar Derivative Versions of Polynomial Inequalities. Advances in Pure Mathematics, 5, 745-755. doi: 10.4236/apm.2015.512068.

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