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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 4, Pages 515–529 (Mi jsfu396)  

This article is cited in 1 scientific paper (total in 1 paper)

Some examples of finding the sums of multiple series

Evgeniya K. Myshkina

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (214 kB) Citations (1)
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Abstract: A method of finding residue integrals for some systems of non-algebraic equations are presented. Such integrals are connected to the power sums of roots for the system of equations. It is shown how the obtained results can be used for calculating sums of multidimensional series.
Keywords: residue integral, power sum, multiple series.
Received: 06.05.2014
Received in revised form: 19.07.2014
Accepted: 26.09.2014
Document Type: Article
UDC: 517.55
Language: English
Citation: Evgeniya K. Myshkina, “Some examples of finding the sums of multiple series”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014), 515–529
Citation in format AMSBIB
\Bibitem{Mys14}
\by Evgeniya~K.~Myshkina
\paper Some examples of finding the sums of multiple series
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 4
\pages 515--529
\mathnet{http://mi.mathnet.ru/jsfu396}
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  • https://www.mathnet.ru/eng/jsfu/v7/i4/p515
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Abstract page:174
    Full-text PDF :69
    References:30
     
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