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This article is cited in 1 scientific paper (total in 1 paper)
Resultants and Contour Integrals
A. Yu. Morozov, Sh. R. Shakirov Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow
Abstract:
Resultants are important special functions used to describe nonlinear phenomena. The resultant $R_{r_1\dots r_n}$ determines a consistency condition for a system of $n$ homogeneous polynomials of degrees $r_1,\dots, r_n$ in $n$ variables in precisely the same way as the determinant does for a system of linear equations. Unfortunately, there is a lack of convenient formulas for resultants in the case of a large number of variables. In this paper we use Cauchy contour integrals to obtain a polynomial formula for resultants, which is expected to be useful in applications.
Keywords:
rezultant, algebraic equation, contour integral.
Received: 02.04.2009
Citation:
A. Yu. Morozov, Sh. R. Shakirov, “Resultants and Contour Integrals”, Funktsional. Anal. i Prilozhen., 46:1 (2012), 39–48; Funct. Anal. Appl., 46:1 (2012), 33–40
Linking options:
https://www.mathnet.ru/eng/faa3056https://doi.org/10.4213/faa3056 https://www.mathnet.ru/eng/faa/v46/i1/p39
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Abstract page: | 585 | Full-text PDF : | 233 | References: | 64 | First page: | 32 |
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