Journal of Siberian Federal University. Mathematics & Physics / Mellin Transform for Monomial Functions of the Solution to the General Polynomial System

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (2)
Authors
Antipova, Irina A.; Zykova, Tatyana V.
Contact information
Antipova, Irina A.: Institute of Space and Information Technology, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074 Russia; e-mail: ; Zykova, Tatyana V.: Institute of Space and Information Technology, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074 Russia; e-mail:
Keywords
Mellin transform; algebraic equation
Abstract

In the present paper we give the calculation of Mellin transform for the monomial function of the vector-solution to the general polynomial system. We essentially use linearization of the system. In scalar case it defines bijective change of variables. In case of the system of equations we weaken requirements on the mapping given by the linearization: it is proper and its degree is equal to one.

Pages
150-156
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/9673