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The exact value of $$\det V_n^- (x_1,\dots,x_n)$$ and its applications. (English) Zbl 0928.15002
This paper presents an exact formula for a generalization of the Vandermonde matrix, in which $$n$$ powers are replaced by products of degree $$n$$ with $$[n/2]$$ complex conjugates. A characterization of Chebychev systems is obtained as a consequence.
##### MSC:
 15A15 Determinants, permanents, traces, other special matrix functions