A problem of Mahler on the zeros of a polynomial and its derivative

被引：4
|
作者：
Storozhenko, EA
机构：
[1] Inst. of Math., Econ., and Mechanics
来源：
SBORNIK MATHEMATICS | 1996年 / 187卷 / 5-6期
关键词：
D O I：
10.1070/SM1996v187n05ABEH000130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Mahler has obtained an inequality for the products of zeros of an algebraic polynomial and its derivative lying outside the unit disc. In this paper a converse inequality with best possible constant is established.
引用
收藏
页码：735 / 744
页数：10
相关论文
共 50 条
  • [11] On Mahler measures of a self-inversive polynomial and its derivative
    Dubickas, Arturas
    Jankauskas, Jonas
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2010, 42 : 195 - 209
  • [12] On the zeros of the polar derivative of a polynomial
    M. H. Gulzar
    B. A. Zargar
    S. A. Malik
    [J]. The Journal of Analysis, 2022, 30 : 101 - 117
  • [13] ON THE ZEROS OF GENERALIZED DERIVATIVE OF A POLYNOMIAL
    Nazir, Ishfaq
    Mir, Mohammad Ibrahim
    Wani, Irfan Ahmad
    [J]. KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (01): : 49 - 54
  • [14] ON THE LOCATION OF THE ZEROS OF THE DERIVATIVE OF A POLYNOMIAL
    CONREY, JB
    RUBEL, LA
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (01) : 37 - 41
  • [15] On the zeros of the polar derivative of a polynomial
    Gulzar, M. H.
    Zargar, B. A.
    Malik, S. A.
    [J]. JOURNAL OF ANALYSIS, 2022, 30 (01): : 101 - 117
  • [16] Critical Values and Moduli of the Derivative of a Complex Polynomial at its Zeros
    Dubinin V.N.
    [J]. Journal of Mathematical Sciences, 2017, 225 (6) : 877 - 882
  • [17] Bounds on the zeros of the derivative of a polynomial with all real zeros
    Melman, Aaron
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2008, 115 (02): : 145 - 147
  • [18] Inequalities for the derivative of a polynomial with restricted zeros
    Uzma Mubeen Ahanger
    W. M. Shah
    [J]. The Journal of Analysis, 2021, 29 : 1367 - 1374
  • [19] On Inequalities For The Derivative Of A Polynomial With Restricted Zeros
    Bhat, Faroz Ahmad
    [J]. APPLIED MATHEMATICS E-NOTES, 2022, 22 : 437 - 443
  • [20] Inequalities for the derivative of a polynomial with restricted zeros
    Ahanger, Uzma Mubeen
    Shah, W. M.
    [J]. JOURNAL OF ANALYSIS, 2021, 29 (04): : 1367 - 1374
12345