%0 Journal Article
%T Polar Derivative Versions of Polynomial Inequalities
%A Barchand Chanam
%J Advances in Pure Mathematics
%P 745-755
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.512068
%X Let <img alt=\"\" src=\"Edit_ef9afe92-0528-4c76-bc42-45aeb267d76e.jpg\" />be a polynomial of degree n and for a complex number , let <img alt=\"\" src=\"Edit_7f5f5846-0361-43fe-89ca-22feafc0927b.jpg\" />&nbsp;denote the polar derivative of the polynomial <img alt=\"\" src=\"Edit_fcdc874d-2955-4779-93b9-4924ea1bccc7.jpg\" />&nbsp;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.
%K Polynomials
%K Polar Derivative of a Polynomial
%K Zeros
%K Extremal Polynomials
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=60384