广义二项式系数及反演

Generalized Binomial Coefficient and Its Inversion

摘要: 利用广义二项式系数的卷积公式和矩阵乘法,研究了由广义二项式系数组成的n+1阶下三角方阵 Pn[x].由Pn[x]的性质及其逆矩阵,导出了关于广义二项式系数的反演关系,并且得到了几个组合恒等式.
- :广义二项式系数 /
- 矩阵 /
- 反演 /
- 组合恒等式
Abstract: Then+1 order lowtriangular matrixPn[x]consisting of generalized binomial coefficients was studied with convolution formula and matrix multiplication. An inversion and some combinatorial identities related to the binomial coefficients were derived by using the properties ofPn[x].
- generalized binomial coefficient /
- matrix /
- inversion /
- combinatorial identity

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