四元数-高斯斐波那契数及其性质

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-03-01 DOI:10.2478/auom-2021-0005

S. Halici, Gamaliel Cerda-Morales

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引用次数: 3

摘要

摘要研究高斯斐波那契数的性质。我们从一些基本的恒等式开始。此后，我们将重点放在接受高斯斐波那契数作为系数的四元数的性质上。我们用Binet形式证明了这些数之间的基本关系。此外，我们还研究了新定义的四元数是否提供了卡西尼四元数等重要恒等式。

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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On Quaternion-Gaussian Fibonacci Numbers and Their Properties

Abstract We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients. Using the Binet form we prove fundamental relations between these numbers. Moreover, we investigate whether the quaternions newly defined provide existing some important identities such as Cassini’s identity for quaternions.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.