Polar Derivative Versions of Polynomial Inequalities  

作　　者：Barchand Chanam 

机构地区：[1]Department of Basic Sciences and Humanities, National Institute of Technology, Manipur, India

出　　处：《Advances in Pure Mathematics》2015年第12期745-755,共11页理论数学进展（英文）

摘　　要：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.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.

关 键 词：POLYNOMIALS POLAR DERIVATIVE of a POLYNOMIAL ZEROS EXTREMAL POLYNOMIALS 

分 类 号：O1[理学—数学]