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广义母函数的设立及其应用
引用本文:钟五一. 广义母函数的设立及其应用[J]. 广东教育学院学报, 2006, 26(3): 26-28
作者姓名:钟五一
作者单位:广东教育学院数学系,广东广州510303
摘    要:定义了广义母函数.其结构简单,组合意义明确,是证明组合恒等式的有效途径.

关 键 词:广义母函数  组合恒等式  组合枚举  非降路径
文章编号:1007-8754(2006)03-0026-03
收稿时间:2005-04-11
修稿时间:2005-04-11

The Generalized Generating Function and its Applications
ZHONG Wu-yi. The Generalized Generating Function and its Applications[J]. Journal of Guangdong Education Institute, 2006, 26(3): 26-28
Authors:ZHONG Wu-yi
Affiliation:Dept. of Math. , Guangdong Education Institute, Guangzhou, Guangdong, 510303, P. R. China
Abstract:The concept of generalized generating function is proposed. Its construction is simple and pleasing, and the combinatorial property is clear. The way to construct a generalized generating function is one of the valid paths for the proof of combinatorial identities.
Keywords:generalized generating function   combinatorial identities   combinatorial enumeration   non-descending paths
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