Journal of Siberian Federal University. Mathematics & Physics / Conditions for Convergence of the Mellin-Barnes Integral for Solution to System of Algebraic Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (3)
Authors
Kulikov, Vladimir R.
Contact information
Kulikov, Vladimir R.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia;
Keywords
algebraic equations; Mellin-Barnes integral; convergence
Abstract

In the article we consider the Mellin-Barnes integral that corresponds to a monomial function of a solution to a system of n algebraic equations in n unknowns. We obtain the necessary condition for the convergence domain of the integral to be non empty. For n = 2 we prove that this condition is also sufficient

Pages
339–346
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/13273