d-Tribonacci Polynomials and Their Matrix Representations

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-03-23 DOI:10.37394/23206.2023.22.25

B. Kuloğlu, E. Özkan

引用次数: 0

Abstract

In this study, we define d-Tribonacci polynomials. Some combinatorial properties of the d- Tribonacci polynomials with matrix representations are obtained with the help of Riordan arrays. In addition, d- Tribonacci number sequence, which is a new generalization of this number sequence, has been obtained by considering Pascal matrix. With the help of Pascal matrix, two kinds of factors of d-Tribonacci polynomials were found. Also, infinite d-Tribonacci polynomials matrix and the inverses of these polynomials were found.

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d-Tribonacci多项式及其矩阵表示

在本研究中，我们定义了d-Tribonacci多项式。利用Riordan数组，得到了具有矩阵表示的d- Tribonacci多项式的一些组合性质。此外，通过考虑Pascal矩阵，得到了d- Tribonacci数列，这是该数列的一种新的推广。利用Pascal矩阵，找到了d-Tribonacci多项式的两类因子。并得到了无限d-Tribonacci多项式矩阵及其逆矩阵。

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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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.