ON GENERALIZED FIBONACCI AND LUCAS NUMBERS BY MATRIX METHODS

被引：0

作者：

Cerda-Morales, Gamaliel ^{[1
]}

机构：

[1] Pontificia Univ Catolica Valparaiso, Inst Math, Valparaiso, Chile

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2013年 / 42卷 / 02期

关键词：

Matrix methods; generalized Lucas numbers; Binet's formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study we define the generalized Lucas V (p, q)-matrix similar to the generalized Fibonacci U(1, -1)-matrix. The V(p, q)-matrix is different from the Fibonacci U(p, q)-matrix, but is related to it. Using this matrix representation, we have found some well-known equalities and a Binet-like formula for the generalized Fibonacci and Lucas numbers.

引用

页码：173 / 179

页数：7

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