关于序列{c_(n)}的三维Riordan矩阵及其应用  

3-Dimensional Riordan Arrays with Respect to the Sequence {c_(n)}and Their Applications

作　　者：姜华 赵熙强[1] Jiang Hua;Zhao Xiqiang(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2022年第S01期123-129,共7页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(11271341)资助。

摘　　要：本文定义了关于序列{c_(n)}的三维 Riordan矩阵,给出了关于序列 {c_(n)}的三维 Riordan矩阵的一般元素满足的递推关系式和矩阵分解式,研究了利用关于序列 {c_(n)}的三维 Riordan矩阵寻找或证明含有参数k 及特殊组合数的组合恒等式的方法。In this paper,a 3-dimensional Riordan matrix of sequence {c_(n)}is defined.Additionally,the recurrence relation and matrix factorization are investigated,which satisfied by the general elements of the matrix.As applications,using 3-dimensional Riordan matrix of sequence{c_(n)},a method of finding or proving combinatorial identities with parameter kand special combinatorial numbers is studied.

关 键 词：Riordan矩阵 恒等式 矩阵分解式 

分 类 号：O157.1[理学—数学]