格路与Vandermonde卷积恒等式  

Lattice path and Vandermonde's convolution identities

作　　者：王天明[1] 马欣荣[2] 

机构地区：[1]大连理工大学数学科学研究所 [2]苏州大学数学科学研究院

出　　处：《大连理工大学学报》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

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.

关 键 词：序列 恒等式 卷积 0-1序洌 格路 拐向 组合分析 

分 类 号：O157.1[理学—数学]