1. Resultants and contour integrals.
- Author
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Morozov, A. and Shakirov, Sh.
- Subjects
- *
EQUATIONS , *POLYNOMIALS , *MATHEMATICAL variables , *MATHEMATICS , *INTEGRALS , *GAUSSIAN distribution - Abstract
Resultants are important special functions used to describe nonlinear phenomena. The resultant $$R_{r_1 \ldots r_n }$$ determines a consistency condition for a system of n homogeneous polynomials of degrees r, ..., r 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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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