广义Catalan矩阵及其组合意义  

Generalized Catalan Array and Combinational Interpretations

作　　者：徐海涛[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》2015年第3期13-15,共3页Journal of Gansu Sciences

摘　　要：利用Lagrange型Riordan矩阵的特征序列,在Riordan群的Lagrange子群中定义了广义Catalan矩阵,通过研究其性质,最终给出了广义Catalan矩阵的概念及组合意义,并证明了相关的定理.Based on the sequence characterization of Lagrange-type Riordan arrays,the generalized Catalan array was researched in Lagrange subgroup of Riordan group. The nature of the generalized Catalan array was discussed, the definition and its combinational interpretations were provided, and the related theorems were proved.

关 键 词：Riordan矩阵 Riordan群 Lagrange子群 广义Catalan矩阵 CATALAN数 

分 类 号：O157[理学—数学]