关于由斐波那契数列的特征多项式的拉普拉斯变换导出的一个数列

IF 0.4 Q4 MATHEMATICS

Notes on Number Theory and Discrete Mathematics Pub Date : 2023-07-30 DOI:10.7546/nntdm.2023.29.3.557-563

C. M. D. Fonseca, A. Shannon

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引用次数: 0

摘要

最近，Deveci和Shannon基于斐波那契序列特征多项式的拉普拉斯变换，建立了一个新的斐波那契序列，并分析了它的一些性质。他们特别披露了奇怪的条款。在这个简短的笔记中，我们提供了这个序列的物质表示，以及第二类切比雪夫多项式。还公开了所述偶项的子序列。

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On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence

Recently, based on the Laplace transform of the characteristic polynomial of the Fibonacci sequence, Deveci and Shannon established a new sequence and analysed some of its properties. They disclosed in particular the odd terms. In this short note, we provide a matricial representation for this sequence as well as one in terms of the Chebyshev polynomials of the second kind. The subsequence of the even terms is also disclosed.

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Notes on Number Theory and Discrete Mathematics MATHEMATICS-

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33.30%

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