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关于四元数高斯青铜斐波那契数

IF 0.4 Q4 MATHEMATICS
Annales Mathematicae Silesianae Pub Date : 2022-09-01 DOI:10.2478/amsil-2022-0013
P. Catarino, S. Ricardo
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引用次数: 0

摘要

摘要本文定义并研究了一个与高斯青铜数有关的新的四元数序列。给出了比奈公式、生成函数以及某些性质和恒等式。考虑三对角矩阵来确定这个序列的一般项。
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 Bronze Fibonacci Numbers
Abstract In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided. Tridiagonal matrices are considered to determine the general term of this sequence.
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来源期刊
Annales Mathematicae Silesianae
Annales Mathematicae Silesianae Mathematics-Mathematics (all)
CiteScore
0.60
自引率
25.00%
发文量
17
审稿时长
27 weeks
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