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On Generalized Fibonacci Hybrinomials

ArticleAçık Erişim

Özet

In this paper, we define generalized Fibonacci hybrinomials, which are generalization of both Fibonacci type hybrinomials and Lucas type hybrinomials. We introduce these hybrinomials in two types as generalized Fibonacci type hybrinomials and generalized Lucas type hybrinomials. We obtain matrix representations, Binet formulas, generating functions and some properties of the generalized Fibonacci hybrinomials. Moreover, we give relationship between the generalized Fibonacci type hybrinomials and generalized Lucas type hybrinomials.

Anahtar Kelimeler

Fibonacci polynomialLucas polynomialFibonacci hybrinomialLucas hybrinomialLUCASHYBRIDMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/16565Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.26713/cma.v13i2.1706Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorTasyurdu, Yasemin
dc.contributor.authorSahin, Ayse
dc.date.accessioned2026-10-18T20:36:26.945376010Z
dc.date.available2026-10-18T20:36:26.945376010Z
dc.date.issued2022
dc.description.abstractIn this paper, we define generalized Fibonacci hybrinomials, which are generalization of both Fibonacci type hybrinomials and Lucas type hybrinomials. We introduce these hybrinomials in two types as generalized Fibonacci type hybrinomials and generalized Lucas type hybrinomials. We obtain matrix representations, Binet formulas, generating functions and some properties of the generalized Fibonacci hybrinomials. Moreover, we give relationship between the generalized Fibonacci type hybrinomials and generalized Lucas type hybrinomials.
dc.identifier.doi10.26713/cma.v13i2.1706
dc.identifier.endpage751
dc.identifier.issn0976-5905
dc.identifier.issue2
dc.identifier.startpage737
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16565
dc.identifier.volume13
dc.identifier.wosWOS:000873793300001
dc.language.isoen
dc.publisherRGN PUBL
dc.relation.ispartofCOMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFibonacci polynomial
dc.subjectLucas polynomial
dc.subjectFibonacci hybrinomial
dc.subjectLucas hybrinomial
dc.subjectLUCAS
dc.subjectHYBRID
dc.subjectMathematics
dc.titleOn Generalized Fibonacci Hybrinomials
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos1
rdl.oa.statusgold
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)