ON QUATERNION GAUSSIAN BRONZE FIBONACCI NUMBERS

被引：2

作者：

Catarino, Paula ^{[1
]}

Ricardo, Sandra ^{[1
]}

机构：

[1] Univ Tras Os Montes & Alto Douro, Dept Math, P-5001801 Vila Real, Portugal

来源：

ANNALES MATHEMATICAE SILESIANAE | 2022年 / 36卷 / 02期

关键词：

Bronze Fibonacci numbers; Gaussian Bronze Fibonacci numbers; quaternions; Generating function; Binet's formula; JACOBSTHAL; PELL; SEQUENCES;

D O I：

10.2478/amsil-2022-0013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet's formula, generating function and certain properties and identities are provided. Tridiagonal matrices are considered to determine the general term of this sequence.

引用

页码：129 / 150

页数：22

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