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Balancing and Lucas-Balancing hybrid numbers and some identities

ArticleAçık Erişim

Özet

In this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them. In addition, we find Binet's Formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating functions, exponential generating functions of the Balancing and Lucas-Balancing hybrid numbers.

Anahtar Kelimeler

Balancing hybrid numbersLucas-Balancing numbersBinet's FormulaCassini's identityCatalan's identityK-FIBONACCIJACOBSTHALFAMILYInformation Science & Library Science
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AlanDeğerDil
dc.contributor.authorUysal, Mine
dc.contributor.authorOzkan, Engin
dc.date.accessioned2026-10-18T20:36:26.231544895Z
dc.date.available2026-10-18T20:36:26.231544895Z
dc.date.issued2024
dc.description.abstractIn this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them. In addition, we find Binet's Formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating functions, exponential generating functions of the Balancing and Lucas-Balancing hybrid numbers.
dc.identifier.doi10.47974/jios-1400orcidid:00
dc.identifier.eissn2169-0103
dc.identifier.endpage1304
dc.identifier.issn0252-2667
dc.identifier.issue5
dc.identifier.startpage1293
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16554
dc.identifier.volume45
dc.identifier.wosWOS:001313321100005
dc.language.isoen
dc.publisherTARU PUBLICATIONS
dc.relation.ispartofJOURNAL OF INFORMATION & OPTIMIZATION SCIENCES
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBalancing hybrid numbers
dc.subjectLucas-Balancing numbers
dc.subjectBinet's Formula
dc.subjectCassini's identity
dc.subjectCatalan's identity
dc.subjectK-FIBONACCI
dc.subjectJACOBSTHAL
dc.subjectFAMILY
dc.subjectInformation Science & Library Science
dc.titleBalancing and Lucas-Balancing hybrid numbers and some identities
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos4
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)