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d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

ArticleAçık Erişim

Özet

We define a new generalization of Gaussian Pell-Lucas polynomials. We call it d−Gaussian Pell-Lucas polynomials. Then we present the generating function and Binet formula for the polynomials. We give a matrix representation of d−Gaussian Pell-Lucas polynomials. Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials. © MatDer.

Anahtar Kelimeler

Binet formulad-Gaussian Pell-Lucas polynomiald-Gaussian PellLucas polynomial matrixgenerating functionRiordan matrix
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12061Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.47000/tjmcs.1007382Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, Engin
dc.contributor.authorUysal, Mine
dc.date.accessioned2026-10-18T20:27:00.784700685Z
dc.date.available2026-10-18T20:27:00.784700685Z
dc.date.issued2022
dc.description.abstractWe define a new generalization of Gaussian Pell-Lucas polynomials. We call it d−Gaussian Pell-Lucas polynomials. Then we present the generating function and Binet formula for the polynomials. We give a matrix representation of d−Gaussian Pell-Lucas polynomials. Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials. © MatDer.
dc.identifier.doi10.47000/tjmcs.1007382
dc.identifier.eissn2148-1830
dc.identifier.endpage270
dc.identifier.issn2148-1830
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85202585346
dc.identifier.startpage262
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12061
dc.identifier.volume14
dc.language.isoen
dc.publisherAssociation of Mathematicians (MATDER)
dc.relation.ispartofTurkish Journal of Mathematics and Computer Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBinet formula
dc.subjectd-Gaussian Pell-Lucas polynomial
dc.subjectd-Gaussian PellLucas polynomial matrix
dc.subjectgenerating function
dc.subjectRiordan matrix
dc.titled-Gaussian Pell-Lucas Polynomials and Their Matrix Representations
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.citation.trdizin0
rdl.departmentERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexTRDIZIN