Identities via Bell matrix and Fibonacci matrix

被引：11

作者：

Wang, Weiping ^{[1
]}

Wang, Tianming ^{[1
,2
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

[2] Hainan Normal Univ, Dept Math, Haikou 571158, Peoples R China

来源：

DISCRETE APPLIED MATHEMATICS | 2008年 / 156卷 / 14期

关键词：

Combinatorial identities; Fibonacci numbers; Generalized Fibonacci numbers; Bell polynomials; Iteration matrix;

D O I：

10.1016/j.dam.2007.10.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the relations between the Bell matrix and the Fibonacci matrix, which provide a unified approach to some lower triangular matrices, such as the Stirling matrices of both kinds, the Lah matrix, and them generalized Pascal matrix. To make the results more general, the discussion is also extended to the generalized Fibonacci numbers and the corresponding matrix. Moreover, based on the matrix representations, various identities are derived. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：2793 / 2803

页数：11

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