Riordan型多项式序列的递归关系  

Recurrence Relations for Polynomial Sequences of Riordan Type

作　　者：王辉[1] 鱼璐[1] 王正杰[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃科学学报》2013年第3期1-4,共4页Journal of Gansu Sciences

摘　　要：若一个多项式序列的系数构成的矩阵是一个Riordan矩阵,就称其为Riordan型多项式序列.利用Riordan矩阵的生成矩阵,得到了Riordan型多项式序列的递归关系,证明了Riordan型多项式序列的一般项恰好是生成矩阵的主子矩阵的特征多项式.If a matrix consisting of the coefficients of polynomial sequence is a Riordan matrix,it is known as a polynomial sequence of Riordan type.Using production matrix of a Riordan array,we obtain recurrence relations for polynomial sequences associated with the Riordan array,and we also show that the general term for the sequence can be expressed as the characteristic polynomial of the principal submatrix of the production matrix.

关 键 词：Riordan矩阵 生成矩阵 行列式 递归关系 

分 类 号：O157.1[理学—数学]