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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 3, Pages 285–296
DOI: https://doi.org/10.17516/1997-1397-2020-13-3-285-296 (Mi jsfu838) 		 
On some examples of systems of transcendent equations

Alexander M. Kytmanov, Olga V. Khodos

Siberian Federal University, Krasnoyarsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2020-13-3-285-296
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.
Received: 06.02.2020
Received in revised form: 16.03.2020
Accepted: 09.04.2020
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Alexander M. Kytmanov, Olga V. Khodos, “On some examples of systems of transcendent equations”, J. Sib. Fed. Univ. Math. Phys., 13:3 (2020), 285–296
Citation in format AMSBIB
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\by Alexander~M.~Kytmanov, Olga~V.~Khodos
\paper On some examples of systems of transcendent equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 3
\pages 285--296
\mathnet{http://mi.mathnet.ru/jsfu838}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-3-285-296}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000540327900003}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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