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J. Korean Math. Soc. 2008; 45(2): 479-491

Printed March 1, 2008

Copyright © The Korean Mathematical Society.

The generalized Pascal matrix via the generalized Fibonacci matrix and the generalized Pell matrix

Gwang-Yeon Lee and Seong-Hoon Cho

Hanseo University, Hanseo University

Abstract

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In [4], the authors studied the Pascal matrix and the Stirling matrices of the first kind and the second kind via the Fibonacci matrix. In this paper, we consider generalizations of Pascal matrix, Fibonacci matrix and Pell matrix. And, by using Riordan method, we have factorizations of them. We, also, consider some combinatorial identities.

Keywords: Pascal matrix, Fibonacci matrix, Pell matrix, Riordan matrix

MSC numbers: 05A19, 05B20, 11B39

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