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Vandermonde类型行列式与组合恒等式
引用本文:刘俊同,姚云飞.Vandermonde类型行列式与组合恒等式[J].阜阳师范学院学报(自然科学版),2009,26(3):13-16.
作者姓名:刘俊同  姚云飞
作者单位:阜阳师范学院 数学与计算科学学院,安徽阜阳,236041
摘    要:利用一元多项式的思想给出了Vandermonde行列式的一种计算法,接着利用此方法讨论了具有Vandermonde类型行列式的计算,最后使用两个Vandermonde类型行列式和等差数列的性质构造一系列组合恒等式.

关 键 词:Vandermonde类型行列式  组合恒等式  等差数列

Vandermonde typed determinant and combinatorial identity
LIU Jun-tong,YAO Yun-fei.Vandermonde typed determinant and combinatorial identity[J].Journal of Fuyang Teachers College:Natural Science,2009,26(3):13-16.
Authors:LIU Jun-tong  YAO Yun-fei
Institution:(School of Mathematics and Computational Science, Fuyang Teachers College , Fuyang Anhui 236041 ,China)
Abstract:This paper gives a way of calculation about vandermonde determinant by using poynomial'thought.Then,the author discusses the compution of the vandermonde typed determinant.Finally,a series of the combinatorial identity are abtained by applying two Vandermonde typed determinant and the property of the arithmetic sequence.
Keywords:vandermonde typed determinant  combinatorial identity  arithmetic sequence  
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