Some Inequalities Concerning the Polar Derivative of a Polynomial-II
Some Inequalities Concerning the Polar Derivative of a Polynomial-II作者机构:Department of Mathematics University of KashmirSrinagar190006 India
出 版 物:《Analysis in Theory and Applications》 (分析理论与应用(英文刊))
年 卷 期:2013年第29卷第4期
页 面:384-389页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:supported by the University of Kashmir vide No: F (Seed Money Grant) RES/KU/13
主 题:Polar derivative of a polynomial.
摘 要:In this paper, we consider the class of polynomials P(z)= anz^n+ ∑vn=μan-vz^n-v,1≤μ≤n , having all zeros in |z|≤k, k ≤1 and thereby present an alternative proof, independent of Laguerre's theorem, of an inequality concerning the polar derivative of a polynomial.