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POLYNOMIALS OF BALANCING, BALANCING-LUCAS SEQUENCES AND k-BALANCING, k-BALANCING-LUCAS SEQUENCES

ArticleAçık Erişim

Özet

In this work, we introduce Balancing, Balancing-Lucas polynomials, and k-Balancing, k-Balancing-Lucas polynomials. We exhibit some important theorems: Cassini, Catalan, Vajda, d'Ocagne, and Honsberger identities for Balancing, BalancingLucas polynomials, and k-Balancing, k-Balancing-Lucas polynomials. We give the concepts of recurrence relation, characteristic equation, roots of the characteristic equation, Binet formula, and generating function for polynomials, which are important for number sequences.

Anahtar Kelimeler

Balancing polynomialsBalancing-Lucas polynomialsk-Balancing poly-nomialsk-Balancing-Lucas polynomialsBinet formulaFIBONACCIPELLNUMBERSFAMILYMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/16892Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.22190/fumi240529009oYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorOzkan, Engin
dc.contributor.authorEser, Engin
dc.contributor.authorUysal, Mine
dc.date.accessioned2026-10-18T20:41:07.261973908Z
dc.date.available2026-10-18T20:41:07.261973908Z
dc.date.issued2026
dc.description.abstractIn this work, we introduce Balancing, Balancing-Lucas polynomials, and k-Balancing, k-Balancing-Lucas polynomials. We exhibit some important theorems: Cassini, Catalan, Vajda, d'Ocagne, and Honsberger identities for Balancing, BalancingLucas polynomials, and k-Balancing, k-Balancing-Lucas polynomials. We give the concepts of recurrence relation, characteristic equation, roots of the characteristic equation, Binet formula, and generating function for polynomials, which are important for number sequences.
dc.identifier.doi10.22190/fumi240529009o
dc.identifier.eissn2406-047X
dc.identifier.endpage109
dc.identifier.issn0352-9665
dc.identifier.issue1
dc.identifier.startpage97
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16892
dc.identifier.volume41
dc.identifier.wosWOS:001792715300005
dc.language.isoen
dc.publisherUNIV NIS
dc.relation.ispartofFACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBalancing polynomials
dc.subjectBalancing-Lucas polynomials
dc.subjectk-Balancing poly-nomials
dc.subjectk-Balancing-Lucas polynomials
dc.subjectBinet formula
dc.subjectFIBONACCI
dc.subjectPELL
dc.subjectNUMBERS
dc.subjectFAMILY
dc.subjectMathematics
dc.titlePOLYNOMIALS OF BALANCING, BALANCING-LUCAS SEQUENCES AND k-BALANCING, k-BALANCING-LUCAS SEQUENCES
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos0
rdl.oa.statusgold
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)