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Residue integrals and Waring formulas for algebraical and transcendental systems of equations A. M. Kytmanov, E. K. Myshkina Siberian Federal University, 79 Svobodnyi Ave., Krasnoyarsk, 660041 Russia Abstract: We discuss a system of algebraical and transcendental systems of equations of general form. We determine residue integrals over the cycles, connected with the system. We give formulas for their calculation and give multi-dimensional analogs of Waring formulas, i. e., connection between the coefficients of equations with power sums of the roots of system. Keywords: algebraical and non-algebraical system of equations, residue integral, Waring formula, power sum of roots.
DOI: https://doi.org/10.26907/0021-3446-2019-5-40-55   Full text:
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UDC: 517.53 Received: 20.04.2018 Revised: 01.06.2018 Accepted: 20.06.2018 Citation: A. M. Kytmanov, E. K. Myshkina, “Residue integrals and Waring formulas for algebraical and transcendental systems of equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5, 
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