高次P-级数分布与Toeplitz矩阵

Higher mode P-progression distribution and Toeplitz matrices

利用高次P-级数分布和二次P-级数分布构造一类Toeplitz矩阵的基础上,根据离散型随机变量分布律的特点以及借助Stirling公式做了详细证明.同时,给出了由广义超几何分布构造的一类Toeplitz矩阵,并做了详细证明.

On the base of composing a class of Tocplitz matrices by using higher mode P-progression distribution and two P-progression distribution, according to the characteristics of the discrete random variable distribution law, the articl have proved it in detail by referring the stirling formula and given a kind of Tocplitz matrices composed by two P-progression distribution for special instance. At the same time, the articl have given a kind of Tocplitz matrices composed by generalized hypergeometric distribution and a detailed proof.