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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 4, Pages 515–529
(Mi jsfu396)
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This article is cited in 2 scientific papers (total in 2 papers)
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
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
Citation:
Evgeniya K. Myshkina, “Some examples of finding the sums of multiple series”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014), 515–529
Linking options:
https://www.mathnet.ru/eng/jsfu396 https://www.mathnet.ru/eng/jsfu/v7/i4/p515
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