On Gauss third-order Jacobsthal numbers and their applications

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI:10.47743/ANSTIM.2021.00016

Gamaliel Cerda-Morales

引用次数: 1

Abstract

We define the Gauss third-order Jacobsthal numbers. Then we give a formula for the Gauss third-order Jacobsthal numbers by using the third-order Jacobsthal numbers. The Gauss modified third-order Jacobsthal numbers are described and the relation with modified third-order Jacobsthal numbers are explained. We show that there is a relation between the Gauss third-order Jacobsthal numbers and the third-order Jacobsthal numbers. Their Binet’s formulas are obtained. We also define the matrices of the Gauss third-order Jacobsthal numbers and the Gauss modified third-order Jacobsthal numbers. We examine properties of the matrices.

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高斯三阶雅各布布数及其应用

我们定义高斯三阶雅各布布数。然后利用三阶jacobthal数给出高斯三阶jacobthal数的表达式。描述了高斯修正三阶雅各布布数，并解释了与修正三阶雅各布布数的关系。我们证明了高斯三阶雅各布布数与三阶雅各布布数之间的关系。得到了它们的比奈公式。我们还定义了高斯三阶雅各布布数和高斯修正三阶雅各布布数的矩阵。我们考察矩阵的性质。

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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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.