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

On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers

ArticleAçık Erişim

Özet

We give the bicomplex Gaussian Fibonacci and the bicomplex Gaussian Lucas numbers and establish the generating functions and Binet’s formulas related to these numbers. Also, we present the summation formula, matrix representation and Honsberger identity and their relationship between these numbers. Finally, we show the relationships among the bicomplex Gaussian Fibonacci, the bicomplex Gaussian Lucas, Gaussian Fibonacci, Gaussian Lucas and Fibonacci numbers. © 2022, University of Tartu Press. All rights reserved.

Anahtar Kelimeler

Bicomplex numbersGaussian Fibonacci numbersbicomplex Gaussian Fibonacci numbersBinet's formulaFAMILYMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12595Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.12697/acutm.2022.22.03Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKuloğlu, Bahar
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:27:28.635573284Z
dc.date.available2026-10-18T20:27:28.635573284Z
dc.date.issued2022
dc.description.abstractWe give the bicomplex Gaussian Fibonacci and the bicomplex Gaussian Lucas numbers and establish the generating functions and Binet’s formulas related to these numbers. Also, we present the summation formula, matrix representation and Honsberger identity and their relationship between these numbers. Finally, we show the relationships among the bicomplex Gaussian Fibonacci, the bicomplex Gaussian Lucas, Gaussian Fibonacci, Gaussian Lucas and Fibonacci numbers. © 2022, University of Tartu Press. All rights reserved.
dc.identifier.doi10.12697/acutm.2022.22.03
dc.identifier.eissn2228-4699
dc.identifier.endpage43
dc.identifier.issn1406-2283
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85133191690
dc.identifier.startpage33
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12595
dc.identifier.volume26
dc.identifier.wosWOS:000810997700003
dc.language.isoen
dc.publisherUniversity of Tartu Press
dc.relation.ispartofActa et Commentationes Universitatis Tartuensis de Mathematica
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBicomplex numbers
dc.subjectGaussian Fibonacci numbers
dc.subjectbicomplex Gaussian Fibonacci numbers
dc.subjectBinet's formula
dc.subjectFAMILY
dc.subjectMathematics
dc.titleOn the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus3
rdl.citation.wos3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)