Comparison of the Strengths of Polynomials of Two Variables

被引:0
|
作者
V. N. Margaryan
H. G. Ghazaryan
机构
[1] Russian-Armenian (Slavonic) University,Institute of Mathematics
[2] Armenian National Academy of Sciences,undefined
关键词
Newton’s polyhedron; comparison of the strengths (powers) of polynomials; 12E10; 26C05;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, for homogeneous polynomials of two variables we find necessary and sufficient conditions for comparison of the weighted strengths of these polynomials. The conditions are stated in terms of orders and multiplicities of the zeros of the considered polynomials.
引用
收藏
页码:121 / 127
页数:6
相关论文
共 50 条
  • [1] Comparison of the Strengths of Polynomials of Two Variables
    Margaryan, V. N.
    Ghazaryan, H. G.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2018, 53 (03): : 121 - 127
  • [2] ON INEQUALITIES FOR POLYNOMIALS IN TWO VARIABLES
    Gabrielyan, O. R.
    Ghazaryan, H. G.
    Margaryan, V. N.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2009, 12 (02): : 311 - 333
  • [3] CYCLIC POLYNOMIALS IN TWO VARIABLES
    Beneteau, Catherine
    Knese, Greg
    Kosinski, Lukasz
    Liaw, Constanze
    Seco, Daniel
    Sola, Alan
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (12) : 8737 - 8754
  • [4] On Polynomials Associated with Humbert's Polynomials of Two Variables
    Khammash, Ghazi S.
    INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013), 2013, 1557 : 385 - 390
  • [5] One remark on polynomials in two variables
    Bartolo, EA
    CassouNogues, P
    PACIFIC JOURNAL OF MATHEMATICS, 1996, 176 (02) : 297 - 309
  • [6] Holomorphic Hermite polynomials in two variables
    Gorska, K.
    Horzela, A.
    Szafraniec, F. H.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 470 (02) : 750 - 769
  • [7] On Hermite matrix polynomials of two variables
    Department of Mathematics, Al-Aqsa University, Gaza Strip, Palestine
    J. Appl. Sci., 2008, 7 (1221-1227):
  • [8] On the irreducibility of some polynomials in two variables
    Brindza, B
    Pinter, A
    ACTA ARITHMETICA, 1997, 82 (03) : 303 - 307
  • [9] Computation of Hilbert polynomials in two variables
    Levin, A
    JOURNAL OF SYMBOLIC COMPUTATION, 1999, 28 (4-5) : 681 - 709
  • [10] Moduli spaces of polynomials in two variables
    de Bobadilla, JF
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 173 (817) : VII - +