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

作　　者：付夕联[1] 丁双双[2] 赵熙强[2] 

机构地区：[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

出　　处：《大学数学》2008年第4期21-27,共7页College Mathematics

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.

关 键 词：PASCAL矩阵 组合恒等式 算子 

分 类 号：O157[理学—数学]