Pell p-数性质的矩阵处理及其推广

Pub Date : 2020-12-01 DOI:10.2478/auom-2020-0036

Özgür Erdağ, Ö. Deveci, A. Shannon

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引用次数: 0

摘要

摘要本文首先定义了Pell-Pell p序列，然后讨论了Pell-Pell p序列与Pell和Pell p序列之间的联系。此外，我们还利用生成矩阵的n次幂提供了一个新的Binet公式和一个新的组合表示。进一步，我们得到了Pell-Pell p数的指数表示形式，并发展了Pell-Pell p数与它们的恒量、行列式和之间的关系。

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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Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations

Abstract In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the aid of the nth power of the generating matrix the Pell-Pell p-sequence. Furthermore, we obtain an exponential representation of the Pell-Pell p-numbers and we develop relationships between the Pell-Pell p-numbers and their permanent, determinant and sums of certain matrices.

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