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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 5, Pages 40–55
DOI: https://doi.org/10.26907/0021-3446-2019-5-40-55 (Mi ivm9462) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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
Full-text PDF (433 kB) Citations (6)
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DOI: https://doi.org/10.26907/0021-3446-2019-5-40-55
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.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41011-Узб_т
18-31-00019
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
Received: 20.04.2018
Revised: 01.06.2018
Accepted: 20.06.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 5, Pages 36–50
DOI: https://doi.org/10.3103/S1066369X19050049
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
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; Russian Math. (Iz. VUZ), 63:5 (2019), 36–50
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:27
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