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Izv. Vyssh. Uchebn. Zaved. Mat., 2019, Number 5, Pages 40–55
(Mi ivm9462)
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This article is cited in 1 scientific paper (total in 1 paper)
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, 40–55
Citation in format AMSBIB
\Bibitem{KytMys19}
\by A.~M.~Kytmanov, E.~K.~Myshkina
\paper Residue integrals and Waring formulas for algebraical and transcendental systems of equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 5
\pages 40--55
\mathnet{http://mi.mathnet.ru/ivm9462}
\crossref{https://doi.org/10.26907/0021-3446-2019-5-40-55}
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http://mi.mathnet.ru/eng/ivm9462 http://mi.mathnet.ru/eng/ivm/y2019/i5/p40
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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Alexander M. Kytmanov, Olga V. Khodos, “On some examples of systems of transcendent equations”, Zhurn. SFU. Ser. Matem. i fiz., 13:3 (2020), 285–296
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