与格路有关的组合恒等式  

A Class of Combinatorial Identities Proved by Lattice Paths

作　　者：阮佳玺[1] 梁翠华[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《数学的实践与认识》2011年第23期232-235,共4页Mathematics in Practice and Theory

基　　金：北京市教委科研计划(0060054k1002)

摘　　要：通过研究格路径的性质得到一类组合恒等式的通式,代入不同的参数给出已有的一些组合恒等式新的简洁证明,并得到一些新的组合恒等式.最后推广得到多项式系数的恒等式.The geometric properties of Lattice paths are used to prove a class of combina- torial identities. Some of these identities are found at the first time. To the others which has been proved, a new proof method is provided. At last, the identities are extended to the multinomial coefficients.

关 键 词：格路径 恒等式 多项式系数 

分 类 号：O157[理学—数学]