摘要
利用平面格路的分割性质和生成函数技巧，提出并建立二重Ｖａｎ－ｄｅｒｍｏｎｄｅ卷积恒等式的理论．给出具有Ｋ个拐向的格路数的计算公式以及与该系数相联系的二重Ｖａｎｄｅｒｍｏｎｄｅ卷积恒等式。
Based on the partitioned property of lattice paths on the plane and generating function method, this paper sets up the concept of two variable Vandermonde's convolution identities. Some counting formulas for lattice paths with K switchbacks are presented. Furthermore, a series of two variable Vandermonde's convolution identities connected with those counting numebers are established, which include some basic identities such as Rothe Hagen formula as special cases.
出处
《大连理工大学学报》
CAS
CSCD
北大核心
1996年第6期639-644,共6页
Journal of Dalian University of Technology
基金
国家自然科学基金
关键词
序列
恒等式
卷积
0-1序洌
格路
拐向
组合分析
sequences
identities
convolutions/0 1 sequences
lattice path
switchbacks
