Pascal算子矩阵在组合恒等式中的应用(英文)

The Applications of the Pascal Operator Matrices to Combinatorial Identities

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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. 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.

作者付夕联丁双双赵熙强

机构地区山东理工大学数学系中国海洋大学数学系

出处《大学数学》北大核心 2008年第4期21-27,共7页 College Mathematics

关键词 PASCAL矩阵组合恒等式算子 Pascal matrix combinatorial identity operator

分类号 O157 [理学—基础数学]

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1杨胜良.关于Bell多项式与二项式型多项式序列的若干恒等式[J].兰州大学学报（自然科学版）,2007,43(4):100-103. 被引量：2
2王冰岩,程元玲.对称群循环指标的性质及应用[J].山东理工大学学报（自然科学版）,2014,28(2):40-43.

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Pascal算子矩阵在组合恒等式中的应用(英文)

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