On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers

被引：10

作者：

Ipek, Ahmet ^{[1
]}

Ari, Kamil ^{[1
]}

机构：

[1] Karamanoglu Mehmetbey Univ, Fac Kamil Ozdag Sci, Dept Math, TR-70100 Karaman, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷

关键词：

Fibonacci numbers; Fibonacci-like numbers; Hessenberg determinants; Pentadiagonal determinants; SPECTRAL NORMS; LUCAS-NUMBERS; MATRICES; IDENTITIES; PELL;

D O I：

10.1016/j.amc.2013.12.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish several new connections between the generalizations of Fibonacci and Lucas sequences and Hessenberg determinants. We also give an interesting conjecture related to the determinant of an infinite pentadiagonal matrix with the classical Fibonacci and Gaussian Fibonacci numbers. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：433 / 439

页数：7

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