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.
UDC:517.55
Received: 06.05.2014 Received in revised form: 19.07.2014 Accepted: 26.09.2014
Fulltext:
PDF file (214 kB)