On an Inequality of Pual Turan Concerning Polynomials-Ⅱ

作     者：Abdullah Mir 

作者机构：Department of Mathematics University of Kashmir 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2015年第31卷第3期

页      面：236-243页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Polar derivative polynomials inequalities maximum modulus growth 

摘      要：Let P（z） be a polynomial of degree n and for any complex number α, let D;P（z） = nP（z）+（α- z） P′（z） denote the polar derivative of the polynomial P（z） with respect to α. In this paper, we obtain inequalities for the polar derivative of a polynomial having all zeros inside a circle. Our results shall generalize and sharpen some well-known results of Turan, Govil, Dewan et al. and others.