Journal of Siberian Federal University. Mathematics & Physics / Some Examples of Finding the Sums of Multiple Series

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (4)
Authors
Myshkina, Evgeniya K.
Contact information
Myshkina, Evgeniya K.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
residue integral; power sum; multiple series.
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

Pages
515–529
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/16498