| Autor: |
Kytmanov, A. A., Kytmanov, A. M., Myshkina, E. K. |
| Předmět: |
|
| Zdroj: |
Complex Variables & Elliptic Equations; Jan2019, Vol. 64 Issue 1, p93-111, 19p |
| Abstrakt: |
The present article is focused on the study of a special class of systems of non-linear transcendental equations for which classical algebraic and symbolic methods are inapplicable. For the purpose of study of such systems we develop a method for computing residue integrals with integration over certain cycles. We describe conditions under which the mentioned residue integrals coincide with power sums of the inverses to the roots of a system of equations (i.e. multidimensional Waring's formulas). Based on this, we develop an algorithm that computes such power sums without computing the roots. As an application of the suggested method, we consider a problem of finding sums of multi-variable number series. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
