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
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
  • [31] A FAMILY OF PLANAR DIFFERENTIAL SYSTEMS WITH EXPLICIT EXPRESSION FOR ALGEBRAIC AND NON-ALGEBRAIC LIMIT CYCLES
    Hamizi, Saad Eddine
    Boukoucha, Rachid
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2021, 83 : 71 - 81
  • [32] Dynamical systems of non-algebraic origin: Fixed points and orbit lengths
    Shparlinski, Igor E.
    DYNAMICS AND NUMBERS, 2016, 669 : 261 - 283
  • [33] Systems Having Liouvillian First Integrals And Non-Algebraic Limit Cycles
    Grazem, Mohamed
    Bendjeddou, Ahmed
    Cheurfa, Rachid
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 119 - 128
  • [34] ON THE PROBABILISTIC WELL-POSEDNESS OF THE NONLINEAR SCHRODINGER EQUATIONS WITH NON-ALGEBRAIC NONLINEARITIES
    Oh, Tadahiro
    Okamoto, Mamoru
    Pocovnicu, Oana
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (06) : 3479 - 3520
  • [35] Power sums of nonlinear systems of equations
    Bykov, V. I.
    Kytmanov, A. M.
    Myslivets, S. G.
    DOKLADY MATHEMATICS, 2007, 76 (02) : 641 - 644
  • [36] Power sums of nonlinear systems of equations
    V. I. Bykov
    A. M. Kytmanov
    S. G. Myslivets
    Doklady Mathematics, 2007, 76 : 641 - 644
  • [37] A Note on Systems of Equations of Power Sums
    Gao, R.
    Liao, J.
    Liu, H.
    Xiong, H.
    Xu, X.
    MATHEMATICAL NOTES, 2022, 111 (5-6) : 855 - 869
  • [38] A Note on Systems of Equations of Power Sums
    R. Gao
    J. Liao
    H. Liu
    H. Xiong
    X. Xu
    Mathematical Notes, 2022, 111 : 855 - 869
  • [39] Cubic planar differential systems with non-algebraic limit cycles enclosing a focus
    Belattar, Meryem
    Cheurfa, Rachid
    Bendjeddou, Ahmed
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2023, 13 (03) : 197 - 208
  • [40] A CLASS OF INFINITE SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
    ROGOGHIN, VS
    DOKLADY AKADEMII NAUK SSSR, 1957, 114 (03): : 486 - 489