Pascal算子矩阵在组合恒等式中的应用
Pascal산자구진재조합항등식중적응용
The Applications of the Pascal Operator Matrices to Combinatorial Identities
  • 万方数据
    大学数学 대학수학
    COLLEGE MATHEMATICS
    2008年 4期 21-27 ,共7页

    付夕联%丁双双%赵熙强

    부석련%정쌍쌍%조희강

    Pascal矩阵%组合恒等式%算子 Pascal矩陣%組閤恆等式%算子
    Pascal구진%조합항등식%산자
    Pascal matrix%combinatorial identity%operator
    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.
    정의료사충Pascal산자구진,급출료타문적대수성질급타문지간적관계,병차이용이항식형다항식서렬、산자급아운산득도허다조합항등식.
    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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