| 格路与Vandermonde卷积恒等式 |
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| 引用本文： | 王天明,马欣荣.格路与Vandermonde卷积恒等式[J].大连理工大学学报,1996,36(6):639-644. |
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| 作者姓名： | 王天明 马欣荣 |
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| 作者单位： | 大连理工大学数学科学研究所(王天明)，苏州大学数学科学研究院(马欣荣) |
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| 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Ｖａｎｄｅｒｍｏｎｄｅ卷积等式的理论。给出具有Ｋ个拐向的格路数的计算公式以及与该系统相联系的二重Ｖａｎｄｅｒｍｏｎｄｅ卷积恒等式，推广了利用格路枚举法证明恒等式的结果。
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| 关 键 词： | 序列 恒等式 卷积 0－1序洌 格路 拐向 组合分析 |
Lattice path and Vandermonde's convolution identities |
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| Wang,Tianming.Lattice path and Vandermonde''''s convolution identities[J].Journal of Dalian University of Technology,1996,36(6):639-644. |
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| Authors: | Wang Tianming |
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| Abstract: | 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. |
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| Keywords: | sequences identities convolutions/0 1 sequences lattice path switchbacks |
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