Erzincan Binali Yıldırım ÜniversitesiErzincan Binali Yıldırım ÜniversitesiAçık Erişim Arşivi · RDL Open

d-Tribonacci Polynomials and Their Matrix Representations

ArticleAçık Erişim

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, a new generalization of this number sequence, is obtained by considering the Pascal matrix. With the help of the Pascal matrix, two kinds of factors of d-Tribonacci polynomials are found. Also, infinite d-Tribonacci polynomials matrix and the inverses of these polynomials are found. © 2022 World Scientific and Engineering Academy and Society. All rights reserved.

Anahtar Kelimeler

d-Tribonacci polynomialsGenerating functionPascal matrixRiordan matrix
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13000Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.37394/23206.2023.22.25Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKuloğlu, Bahar
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:27:50.936380961Z
dc.date.available2026-10-18T20:27:50.936380961Z
dc.date.issued2022
dc.description.abstractIn 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, a new generalization of this number sequence, is obtained by considering the Pascal matrix. With the help of the Pascal matrix, two kinds of factors of d-Tribonacci polynomials are found. Also, infinite d-Tribonacci polynomials matrix and the inverses of these polynomials are found. © 2022 World Scientific and Engineering Academy and Society. All rights reserved.
dc.identifier.doi10.37394/23206.2023.22.25
dc.identifier.endpage212
dc.identifier.issn1109-2769
dc.identifier.scopus2-s2.0-85153323832
dc.identifier.startpage204
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13000
dc.identifier.volume22
dc.language.isoen
dc.publisherWorld Scientific and Engineering Academy and Society
dc.relation.ispartofWSEAS Transactions on Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectd-Tribonacci polynomials
dc.subjectGenerating function
dc.subjectPascal matrix
dc.subjectRiordan matrix
dc.titled-Tribonacci Polynomials and Their Matrix Representations
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.oa.statusgold
rdl.source.indexSCOPUS