| 一个特殊的二项系数 |
| |
| 引用本文： | 谭明术.一个特殊的二项系数[J].数学杂志,2007,27(2):135-140. |
| |
| 作者姓名： | 谭明术 |
| |
| 作者单位： | 重庆三峡学院数学系,重庆万州,404000 |
| |
| 基金项目： | Supported by the Chongqing Education Committee(KJ05113) |
| |
| 摘 要： | 利用发生函数和矩阵方法,研究了一个特殊的二项式系数n λ n-k]和它所构成的矩阵.得到以n λ n-k]为矩阵元素的Pascal型矩阵的指数分解和乘积分解公式.同时,考察了与二项式型多项式相伴的函数矩阵Pn,λx]及其性质.
|
| 关 键 词： | 二项式系数 二项式型多项式 Pascal矩阵 |
| 文章编号： | 0255-7797（2007）02-0135-06 |
| 修稿时间： | 2004-11-292005-04-10 |
ON A SPECIAL BINOMIAL COEFFICIENT |
| |
| TAN Ming-shu.ON A SPECIAL BINOMIAL COEFFICIENT[J].Journal of Mathematics,2007,27(2):135-140. |
| |
| Authors: | TAN Ming-shu |
| |
| Institution: | Dept. of Math. , Chongqing Three Gorges University, Chongqing 404000, China |
| |
| Abstract: | The speciat binomial coefficient (n+λ)/(n-к) and its related matrices are investigate The faetorization and exponential expansion of (n+1)X(n+1) Pascal type matrix P(n,λ)associated with(n+λ)/(n-к) are obtainea by using generating function and matrix method.Furthermore,the functional matrix P(n,λ)x] with polynomial of binomial type related to (n+λ)/(n-к)and its properties are studied. |
| |
| Keywords: | binomial coefficient polynomial of binomial type Pascal matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
