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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
关键词
格路径
恒等式
多项式系数
lattice path
identity
multinomial coefficients
