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On the application of multidimensional logarithmic residue to systems of non-algebraic equations

Barlikbay PrenovNational University of Uzbekistan: Mathematics and Natural Sciences
ABI

Abstract

In this paper, the residue integrals over cycles associated with a system of non-algebraic equations and formulas for their calculation are given. Their connection with the power sums of the roots of the system is established. Some examples are considered.

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