In this paper, we discuss the generalized form of Van-dermonde determinant, give some properties of this kind of gen-eralized Vandermonde determinant. Moreover, we also give a compute formula of this kind of determinant by Laplace expan-sion theorem.%本文研究了Vandermonde行列式的推广形式,给出了这类广义Vandermonde行列式满足的一些性质,并利用Laplace展开定理给出了这类行列式的计算公式。
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