RETRACTED ARTICLE: Growth of polynomials with prescribed zeros

被引:0
|
作者
M. S. Pukhta
机构
[1] Division of Agri. Engineering Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir Srinagar,
关键词
Extremal Problems; Polynomial; Zygmund inequality; Zeros;
D O I
10.1134/S1995080212020102
中图分类号
学科分类号
摘要
In this paper we study the growth of polynomials of degree n having all its zeros on |z| = k, k ⩽ 1 using the notation M(p, t) = \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathop {\max |p(z)|}\limits_{|z| = t} $\end{document}, we measure the growth of p by estimating \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\left\{ {\frac{{M(p,t)}} {{M(p,1)}}} \right\}^s $\end{document} from above for any t ≥ 1, s being an arbitrary positive integer.
引用
收藏
页码:134 / 138
页数:4
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