| Pascal算子矩阵在组合恒等式中的应用(英文) |
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| 引用本文： | 付夕联,丁双双,赵熙强. Pascal算子矩阵在组合恒等式中的应用(英文)[J]. 大学数学, 2008, 24(4) |
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| 作者姓名： | 付夕联 丁双双 赵熙强 |
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| 作者单位： | 1. 山东理工大学,数学系,山东,淄博,255049
2. 中国海洋大学,数学系,山东,青岛,266071 |
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| 摘 要： | 定义了四种Pascal算子矩阵,给出了它们的代数性质及它们之间的关系,并且利用二项式型多项式序列、算子及哑运算得到许多组合恒等式.
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| 关 键 词： | Pascal矩阵 组合恒等式 算子 |
The Applications of the Pascal Operator Matrices to Combinatorial Identities |
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| FU Xi-lian,DING Shuang-shuang,ZHAO Xi-qiang. The Applications of the Pascal Operator Matrices to Combinatorial Identities[J]. College Mathematics, 2008, 24(4) |
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| Authors: | FU Xi-lian DING Shuang-shuang ZHAO Xi-qiang |
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| Abstract: | Four kinds of the Pascal operator matrices are defined. The relationship between the matrices is given. Some algebraic properties of the matrices are investigated. Many combinatorial identities are obtained by using polynomials of binomial type, operator and the umbral calculus also. |
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| Keywords: | Pascal matrix combinatorial identity operator |
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