关于双复高斯斐波那契数和高斯卢卡斯数

IF 0.3 Q4 MATHEMATICS

Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-28 DOI:10.12697/acutm.2022.26.03

E. Özkan, B. Kuloğlu

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引用次数: 0

摘要

给出了双复高斯Fibonacci数和双复高斯Lucas数，并建立了与这些数相关的生成函数和Binet公式。并给出了求和公式、矩阵表示和Honsberger恒等式以及它们之间的关系。最后，我们展示了双复高斯斐波那契数、双复高斯卢卡斯数、高斯斐波那契数、高斯卢卡斯数和斐波那契数之间的关系。

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On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers

We give the bicomplex Gaussian Fibonacci and the bicomplex Gaussian Lucas numbers and establish the generating functions and Binet’s formulas related to these numbers. Also, we present the summation formula, matrix representation and Honsberger identity and their relationship between these numbers. Finally, we show the relationships among the bicomplex Gaussian Fibonacci, the bicomplex Gaussian Lucas, Gaussian Fibonacci, Gaussian Lucas and Fibonacci numbers.

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来源期刊

Acta et Commentationes Universitatis Tartuensis de Mathematica MATHEMATICS-

CiteScore

0.60

自引率

33.30%

发文量