Alexander M. Kytmanov, Olga V. Khodos, “On some examples of systems of transcendent equations”, J. Sib. Fed. Univ. Math. Phys., 2020, Volume 13, Issue 3,Pages <nobr>285

On some examples of systems of transcendent equations

Alexander M. Kytmanov, Olga V. Khodos

Siberian Federal University, Krasnoyarsk, Russian Federation

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.

Keywords: transcendent systems of equations, residue integrals, power sums of roots.

UDC: 517.55

Received: 06.02.2020
Received in revised form: 16.03.2020
Accepted: 09.04.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-3-285-296