具有二项式型多项式下三角矩阵的性质

被引：7

作者：

谭明术

王天明

机构：

[1] 大连理工大学应用数学系

[2] 大连理工大学应用数学系辽宁大连重庆三峡学院数学系

[3] 重庆

[4] 辽宁大连

来源：

数学研究与评论 | 2005年 / 01期

关键词：

Pascal矩阵; 二项式型多项式; 下三角矩阵;

D O I：

暂无

中图分类号：

O151.21 [矩阵论];

学科分类号：

070104 ;

摘要：

n+1阶下三角方阵Ln[x]定义为:(Ln[x])ij=(?)i-j(x)l(i,j)(如果i≥j),否则为0,且满足条件l(i,k)l(k,j)=l(i,j)(k-j i-j)和 ,即二项式型多项式函数矩阵.n+1阶方阵Ln定义为:当i≥j时,(Ln)ij=l(i,j),否则为0.本文研究了比Pascal函数矩阵及Lah矩阵更广泛的一类矩阵Ln[x]与Ln,得到了更一般的结果和一些组合恒等式.

引用

页码：183 / 190

页数：8

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