On systems of non-algebraic equations in Cn

被引：5
|
作者：
Kytmanov, Aleksandr M. [1 ]
Khodos, Olga V. [1 ]
机构：
[1] Siberian Fed Univ, Inst Math & Comp Sci, 79 Svobodny Av, Krasnoyarsk 660041, Russia
来源：
TOPICS IN SEVERAL COMPLEX VARIABLES | 2016年 / 662卷
关键词：
Non-algebraic systems of equations; residue integral; power sums;
D O I：
10.1090/conm/662/13317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A method of finding residue integrals for systems of non-algebraic equations containing analytic functions is presented in the paper. Such integrals are connected with the power sums of roots of certain system of equations. The proposed approach can be used for developing methods for the elimination of unknowns from systems of non-algebraic equations. It is shown that obtained results can be used for calculating sums of multidimensional series.
引用
收藏
页码：77 / 88
页数：12
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