Journal of Siberian Federal University. Mathematics & Physics / On Some Examples of Systems of Transcendent Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (3)
Authors
Kytmanov, Alexander M.; Khodos, Olga V.
Contact information
Kytmanov, Alexander M.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Khodos, Olga V.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
transcendent systems of equations; residue integrals; power sums of roots
Abstract

This article discusses examples of transcendent systems of equations of a general form. The residue integrals are determined over the cycles associated with the system. Formulas are given for their calculation and their relationship with the power sums of the roots of the system is established

Pages
285–296
DOI
10.17516/1997-1397-2020-13-3-285-296
Paper at repository of SibFU
http://elib.sfu-kras.ru/handle/2311/135201