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

A new family of Gauss (k, t) -Horadam numbers

ArticleAçık Erişim

Özet

We present a new family of Gauss (k,t)-Horadam numbers and obtain Binet formula of this family. We give the relationship between this family and the known Gauss t-Horadam number. Then we prove the Cassini and Catalan identities for this family. Furthermore, we investigate the sums, the recurrence relations and generating functions of this family. © 2022 World Scientific Publishing Company.

Anahtar Kelimeler

Cassini identityFibonacci numberGauss numbergenerating functionHoradam number
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12597Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1142/s1793557122502254Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorTaştan, Merve
dc.contributor.authorYllmaz, Nazmiye
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:27:28.731708324Z
dc.date.available2026-10-18T20:27:28.731708324Z
dc.date.issued2022
dc.description.abstractWe present a new family of Gauss (k,t)-Horadam numbers and obtain Binet formula of this family. We give the relationship between this family and the known Gauss t-Horadam number. Then we prove the Cassini and Catalan identities for this family. Furthermore, we investigate the sums, the recurrence relations and generating functions of this family. © 2022 World Scientific Publishing Company.
dc.identifier.doi10.1142/s1793557122502254
dc.identifier.eissn1793-7183
dc.identifier.issn1793-5571
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85129804489
dc.identifier.startpage2250225
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12597
dc.identifier.volume15
dc.identifier.wosWOS:000849390000002
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofAsian-European Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCassini identity
dc.subjectFibonacci number
dc.subjectGauss number
dc.subjectgenerating function
dc.subjectHoradam number
dc.titleA new family of Gauss (k, t) -Horadam numbers
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus6
rdl.citation.wos3
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)