一个组合恒等式的若干组合描述  

Several Combinatorial Descriptions of a Combinatorial Identity

作　　者：邓伟升 王守峰[1] DENG Wei-sheng;WANG Shou-feng(School of Mathematics,Yunnan Normal University,Kunming 650500,China)

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《云南师范大学学报（自然科学版）》2020年第2期34-37,共4页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(11661082).

摘　　要：利用组合分析法、挡板法、母函数法、不定方程的非负整数解的个数、多重集的组合意义及路径法证明了一个基本的组合恒等式.Combinatorial identity is one of the important contents in combinatorial mathematics.This paper uses several proof methods for proving an elementary combinatorial identity,i.e.,combination analysis method;baffle method;generation function method and so on.These methods are intuitive and clear,which have some help in understanding and mastering the proof of combinatorial identity.

关 键 词：组合恒等式 组合分析法 挡板法 母函数法 路径法 

分 类 号：O157[理学—数学]