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On K-Chebsyhev Sequence

ArticleAçık Erişim

Özet

In this study, firstly the k-Chebsyhev sequence is defined, and some terms of this sequence are given. Then, the relations between the terms of the k-Chebsyhev sequence are presented and the generating function of this sequence is obtained. In addition, the Catalan transformation of the sequence is given and the generating function of the Catalan k-Chebsyhev sequence is obtained. Finally, the Hankel transform is applied to the Catalan k-Chebsyhev transform. © 2023 World Scientific and Engineering Academy and Society. All rights reserved.

Anahtar Kelimeler

Binet FormulaCassini IdentityCatalan TransformationFibonacci sequencesk-Chebsyhev sequences
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12033Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.37394/23206.2023.22.56Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorOzkan, Engin
dc.contributor.authorAkkus, Hakan
dc.date.accessioned2026-10-18T20:26:59.591771911Z
dc.date.available2026-10-18T20:26:59.591771911Z
dc.date.issued2023
dc.description.abstractIn this study, firstly the k-Chebsyhev sequence is defined, and some terms of this sequence are given. Then, the relations between the terms of the k-Chebsyhev sequence are presented and the generating function of this sequence is obtained. In addition, the Catalan transformation of the sequence is given and the generating function of the Catalan k-Chebsyhev sequence is obtained. Finally, the Hankel transform is applied to the Catalan k-Chebsyhev transform. © 2023 World Scientific and Engineering Academy and Society. All rights reserved.
dc.identifier.doi10.37394/23206.2023.22.56
dc.identifier.endpage507
dc.identifier.issn1109-2769
dc.identifier.scopus2-s2.0-85168010427
dc.identifier.startpage503
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12033
dc.identifier.volume22
dc.language.isoen
dc.publisherWorld Scientific and Engineering Academy and Society
dc.relation.ispartofWSEAS Transactions on Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBinet Formula
dc.subjectCassini Identity
dc.subjectCatalan Transformation
dc.subjectFibonacci sequences
dc.subjectk-Chebsyhev sequences
dc.titleOn K-Chebsyhev Sequence
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus7
rdl.oa.statusgold
rdl.source.indexSCOPUS