Schröder matrix as inverse of Delannoy matrix

doi:10.1016/j.laa.2013.09.044

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	Schröder matrix as inverse of Delannoy matrix
	Yang, Sheng-Liang 2; Zheng, Sai-Nan 2; Yuan, Shao-Peng 2; He, Tian-Xiao 1
刊名	Linear Algebra and Its Applications
	2013-12-01
卷号	439 期号:11 页码:3605-3614
关键词	Inverse problems Number theory Catalan number Catalans Delannoy number Fibonacci matrices Fibonacci numbers Pascal matrix Riordan arrays
ISSN号	00243795
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. © 2013 Elsevier Inc.
WOS研究方向	Mathematics
语种	英语
出版者	Elsevier Inc.
WOS记录号	WOS:000327174000022
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/113701]
专题	理学院
作者单位	1.Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702, United States 2.Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China;
推荐引用方式 GB/T 7714	Yang, Sheng-Liang,Zheng, Sai-Nan,Yuan, Shao-Peng,et al. Schröder 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).Schröder matrix as inverse of Delannoy matrix.Linear Algebra and Its Applications,439(11),3605-3614.
MLA	Yang, Sheng-Liang,et al."Schröder matrix as inverse of Delannoy matrix".Linear Algebra and Its Applications 439.11(2013):3605-3614.