Some unrestricted Fibonacci and Lucas hyper-complex numbers

被引：4

作者：

Bilgici, Goksal ^{[1
]}

Dasdemir, Ahmet ^{[2
]}

机构：

[1] Kastamonu Univ, Dept Comp Educ & Instruct Technol, TR-37200 Kastamonu, Turkey

[2] Kastamonu Univ, Dept Math, Fac Arts & Sci, TR-37150 Kastamonu, Turkey

来源：

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2020年 / 24卷 / 01期

关键词：

Fibonacci quaternion; Fibonacci octonion; Fibonacci sedenion;

D O I：

10.12697/ACUTM.2020.24.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A number of studies have investigated the Fibonacci quaternions and octonions that include consecutive terms of the Fibonacci sequence. This paper presents a new generalization of Fibonacci quaternions, octonions and sedenions, where non-consecutive Fibonacci numbers are used. We present the Binet formulas, generating functions and some identities for these new types of hyper-complex numbers.

引用

页码：37 / 48

页数：12

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