双广义复Fibonacci和Lucas四元数的构造

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2022-11-21 DOI:10.15330/cmp.14.2.406-418

G. Y. Şentürk, N. Gürses, S. Yüce

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引用次数: 4

摘要

本文的目的是构造双广义复Fibonacci和Lucas四元数。研究了双广义复数和四元数的性质。此外，还得到了一般递归关系、Binet公式、Tagiuri公式(或类似Vajda公式)、Honsberger公式、d’ocagne公式、Cassini公式和Catalan公式。介绍了这些特殊四元数的一系列矩阵表示。最后，将双广义复Fibonacci和Lucas四元数的乘法也表示为它们的不同矩阵表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Construction of dual-generalized complex Fibonacci and Lucas quaternions

The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (or Vajda's like), Honsberger's, d'Ocagne's, Cassini's and Catalan's identities are obtained. A series of matrix representations of these special quaternions is introduced. Finally, the multiplication of dual-generalized complex Fibonacci and Lucas quaternions are also expressed as their different matrix representations.

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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks