Schroder matrix as inverse of Delannoy matrix

doi:10.1016/j.laa.2013.09.044

	Schroder matrix as inverse of Delannoy matrix
	Yang, Sheng-liang 1; Zheng, Sai-nan 1; Yuan, Shao-peng 1; He, Tian-Xiao 2
刊名	LINEAR ALGEBRA AND ITS APPLICATIONS
	2013-12
卷号	439 期号:11 页码:3605-3614
关键词	Delannoy number Pascal matrix Catalan number Schroder number Riordan array
ISSN号	0024-3795
DOI	10.1016/j.laa.2013.09.044
英文摘要	Using Riordan arrays, we introduce a generalized Delannoy matrix by weighted Delannoy numbers. It turns out that Delannoy matrix, Pascal matrix, and Fibonacci matrix are all special cases of the generalized Delannoy matrices, meanwhile Schroder matrix and Catalan matrix also arise in involving inverses of the generalized Delannoy matrices. These connections are the focus of our paper. The half of generalized Delannoy matrix is also considered. In addition, we obtain a combinatorial interpretation for the generalized Fibonacci numbers. (C) 2013 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11261032]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000327174000022
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34572]
专题	材料科学与工程学院理学院
通讯作者	Yang, Sheng-liang
作者单位	1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China 2.Illinois Wesleyan Univ, Dept Math, Bloomington, IL 61702 USA
推荐引用方式 GB/T 7714	Yang, Sheng-liang,Zheng, Sai-nan,Yuan, Shao-peng,et al. Schroder matrix as inverse of Delannoy matrix[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2013,439(11):3605-3614.
APA	Yang, Sheng-liang,Zheng, Sai-nan,Yuan, Shao-peng,&He, Tian-Xiao.(2013).Schroder matrix as inverse of Delannoy matrix.LINEAR ALGEBRA AND ITS APPLICATIONS,439(11),3605-3614.
MLA	Yang, Sheng-liang,et al."Schroder matrix as inverse of Delannoy matrix".LINEAR ALGEBRA AND ITS APPLICATIONS 439.11(2013):3605-3614.