Pell p-数性质的矩阵处理及其推广

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica 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。

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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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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.