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组合数列求和
引用本文:伍启期.组合数列求和[J].佛山科学技术学院学报(自然科学版),1996(4).
作者姓名:伍启期
摘    要:用组合解释法、母函数法、求和算子和卷积法,研究了范特蒙恒等式,朱世杰恒等式和组合数乘积之和,得出一般性的和式

关 键 词:组合数列  求和  组合解释法  母函数  求和算子卷积  范特蒙恒等式  朱世杰恒等式

Researches on the Sum of Series of Combinations
Wu Qiqi.Researches on the Sum of Series of Combinations[J].Journal of Foshan University(Natural Science Edition),1996(4).
Authors:Wu Qiqi
Abstract:By using the explanation of combination, generating functions, sum operator, and convolution, researches were made on Vandermonde's identity, Zhu Sizhi's identity, and the sum of products of combinations. Some general sum formulae were obtained.
Keywords:sum of series of combination  explanation of combination  generating function  sum operator  convolution  Vandermonde's identity  ZhuSizhi's identity  
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