RETRACTED ARTICLE: Growth of polynomials with prescribed zeros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
相关论文
共 50 条
  • [41] RETRACTED: Economic growth based on agricultural modernisation (Retracted Article)
    Li, Qian
    Zeng, Miao
    Du, Jiang
    INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION, 2021,
  • [42] RETRACTED: Growth property at infinity of harmonic functions (Retracted Article)
    Jiang, Zongcai
    Hou, Linbo
    Peixoto-de-Buyukkurt, Corchado
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [43] RETRACTED ARTICLE: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
    Feng Qi
    Jing-Lin Wang
    Bai-Ni Guo
    Bulletin of the Iranian Mathematical Society, 2019, 45 : 1821 - 1829
  • [44] RETRACTED: On the zeros of Dirichlet L-functions (Retracted article. See vol. 20, 2017)
    Omar, Sami
    Ouni, Raouf
    Mazhouda, Kamel
    LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2011, 14 : 140 - 154
  • [45] BOUNDS FOR THE ZEROS OF POLYNOMIALS
    W.M.Shah
    A.Liman
    Analysis in Theory and Applications, 2004, (01) : 16 - 27
  • [46] Location of zeros of polynomials
    Affane-Aji, Chadia
    Agarwal, Neha
    Govil, N. K.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) : 306 - 313
  • [47] ON ZEROS OF DERIVATIVES OF POLYNOMIALS
    MEIR, A
    SHARMA, A
    CANADIAN MATHEMATICAL BULLETIN, 1968, 11 (03): : 443 - &
  • [48] A theorem for the zeros of polynomials
    Obrechkoff, N
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1937, 205 : 309 - 311
  • [49] ON ZEROS OF INTERPOLATING POLYNOMIALS
    BARNARD, RW
    FORD, WT
    WANG, HY
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (03) : 734 - 744
  • [50] ON POLYNOMIALS WITH REAL ZEROS
    AHMAD, M
    CANADIAN MATHEMATICAL BULLETIN, 1968, 11 (02): : 237 - &