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