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The Akiyama–Tanigawa matrix and related combinatorial identities

Authors :
Rahmani, Mourad
Source :
Linear Algebra & its Applications. Jan2013, Vol. 438 Issue 1, p219-230. 12p.
Publication Year :
2013

Abstract

Abstract: In this paper, we define the generalized Akiyama-Tanigawa matrix and investigate its relationship with the r-Stirling numbers of the second kind. Also, we give the generating function for any column or row of the generalized Akiyama-Tanigawa matrix. As a result, we find some new identities about r-Stirling numbers of the second kind. In addition, some applications are given. [Copyright &y& Elsevier]

Subjects

Subjects :
*MATRICES (Mathematics)
*COMBINATORICS
*IDENTITIES (Mathematics)
*GENERATING functions
*MATHEMATICAL analysis
*LINEAR algebra

Details

Language :
English
ISSN :
00243795
Volume :
438
Issue :
1
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
83299191
Full Text :
https://doi.org/10.1016/j.laa.2012.07.050
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