d-Tribonacci Polynomials and Their Matrix Representations

Kuloğlu, Bahar; Özkan, ENGİN

doi:10.37394/23206.2023.22.25

d-Tribonacci Polynomials and Their Matrix Representations

Atıf İçin Kopyala

Kuloğlu B., Özkan E.

WSEAS TRANSACTIONS ON MATHEMATICS, cilt.22, ss.204-212, 2023 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 22
Basım Tarihi: 2023
Doi Numarası: 10.37394/23206.2023.22.25
Dergi Adı: WSEAS TRANSACTIONS ON MATHEMATICS
Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
Sayfa Sayıları: ss.204-212
Marmara Üniversitesi Adresli: Hayır

Özet

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.