Geodesic
On some examples of systems of transcendent equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 3, pp. 285-296

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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. 
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Alexander M. Kytmanov; Olga V. Khodos. On some examples of systems of transcendent equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 3, pp. 285-296. http://geodesic.mathdoc.fr/item/JSFU_2020_13_3_a2/