ON CALCULATION OF POWER SUMS OF ROOTS FOR ONE CLASS OF SYSTEMS OF NON-ALGEBRAIC EQUATIONS

被引：8
|
作者：
Kytmanov, A. M. [1 ]
Myshkina, E. K. [1 ]
机构：
[1] Siberian Fed Univ, Inst Math & Comp Sci, Av Svobodny 79, Krasnoyarsk 660041, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷
关键词：
non-algebraic systems of equations; order of growth entire functions; power sums of roots in negative degree;
D O I：
10.17377/semi.2015.12.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is evaluation power sums of roots in negative degree for systems of non-algebraic equations containing from entire functions of finite order of growth.
引用
收藏
页码：190 / 209
页数：20
相关论文
共 50 条
  • [1] Evaluation of Power Sums of Roots for Systems of Non-Algebraic Equations in C-n
    Kytmanov, A. M.
    Myshkina, E. K.
    RUSSIAN MATHEMATICS, 2013, 57 (12) : 31 - 43
  • [2] On systems of non-algebraic equations in Cn
    Kytmanov, Aleksandr M.
    Khodos, Olga V.
    TOPICS IN SEVERAL COMPLEX VARIABLES, 2016, 662 : 77 - 88
  • [3] A CLASS OF NON-ALGEBRAIC THREEFOLDS
    TOMA, M
    ANNALES DE L INSTITUT FOURIER, 1989, 39 (01) : 239 - 250
  • [4] An algorithm for calculating power sums of roots for a class of systems of nonlinear equations
    Kytmanov, A. A.
    PROGRAMMING AND COMPUTER SOFTWARE, 2010, 36 (02) : 103 - 110
  • [5] An algorithm for calculating power sums of roots for a class of systems of nonlinear equations
    A. A. Kytmanov
    Programming and Computer Software, 2010, 36 : 103 - 110
  • [6] On Some Systems of Non-algebraic Equations in C-n
    Khodos, Olga, V
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2014, 7 (04): : 455 - 465
  • [7] Finding residue integrals for systems of non-algebraic equations in Cn
    Kytmanov, A. A.
    Kytmanov, A. M.
    Myshkina, E. K.
    JOURNAL OF SYMBOLIC COMPUTATION, 2015, 66 : 98 - 110
  • [8] A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle
    Bendjeddou, Ahmed
    Grazem, Mohamed
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2019, 12 (03): : 285 - 297
  • [9] Examples of Computing Power Sums of Roots of Systems of Equations
    Myshkina, Evgeniya K.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2023, 16 (02): : 176 - 182
  • [10] Three Explicit Non-Algebraic Limit Cycles For A Class Of Polynomial Differential Systems
    Berbache, Aziza
    Bendjeddou, Ahmed
    APPLIED MATHEMATICS E-NOTES, 2020, 20 : 158 - 166
12345