d-Tribonacci Polynomials and Their Matrix Representations-Reference-Cited by-同舟云学术

d-Tribonacci Polynomials and Their Matrix Representations

Published:2023-03-23 Issue: Volume:22 Page:204-212
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Kuloğlu Bahar¹,Özkan Engin²

Affiliation:

1. Department of Mathematics, Graduate School of Natural and Applied Sciences, Erzincan Binali Yıldırım University, Yalnızbağ Campus, 24100, Erzincan, TURKEY

2. Department of Mathematics, Faculty of Arts and Sciences, Erzincan Binali Yıldırım University, Yalnızbağ Campus, 24100, Erzincan, TURKEY

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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