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Catalan transform of the k-Pell, k-Pell-Lucas and modified k-Pell sequence

ArticleAçık Erişim

Özet

In this study, we present the Catalan transforms of the k-Pell sequence, the k-Pell-Lucas sequence and the Modified k-Pell sequence and examine the properties of the sequences. Then we apply the Hankel transform to the Catalan transforms of the k-Pell sequence, the Catalan transform of the k-Pell-Lucas sequence and the Catalan transform of the Modified k-Pell sequence. Also, we obtain the generating functions of the Catalan transform of the k-Pell sequence, k-Pell-Lucas sequence and Modified k-Pell sequence. Furthermore, we acquire an interesting characteristic related to the determinant of the Hankel transform of the sequences.

Anahtar Kelimeler

k-Pell numbersk-Pell-LucasCatalan numbersCatalan transformHankel transformMathematics
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorTastan, Merve
dc.contributor.authorOzkan, Engin
dc.date.accessioned2026-10-18T20:36:30.003722314Z
dc.date.available2026-10-18T20:36:30.003722314Z
dc.date.issued2021
dc.description.abstractIn this study, we present the Catalan transforms of the k-Pell sequence, the k-Pell-Lucas sequence and the Modified k-Pell sequence and examine the properties of the sequences. Then we apply the Hankel transform to the Catalan transforms of the k-Pell sequence, the Catalan transform of the k-Pell-Lucas sequence and the Catalan transform of the Modified k-Pell sequence. Also, we obtain the generating functions of the Catalan transform of the k-Pell sequence, k-Pell-Lucas sequence and Modified k-Pell sequence. Furthermore, we acquire an interesting characteristic related to the determinant of the Hankel transform of the sequences.
dc.identifier.doi10.7546/nntdm.2021.27.1.198-207
dc.identifier.eissn2367-8275
dc.identifier.endpage207
dc.identifier.issn1310-5132
dc.identifier.issue1
dc.identifier.startpage198
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16624
dc.identifier.volume27
dc.identifier.wosWOS:000637351800020
dc.language.isoen
dc.publisherBULGARIAN ACAD SCIENCE
dc.relation.ispartofNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectk-Pell numbers
dc.subjectk-Pell-Lucas
dc.subjectCatalan numbers
dc.subjectCatalan transform
dc.subjectHankel transform
dc.subjectMathematics
dc.titleCatalan transform of the k-Pell, k-Pell-Lucas and modified k-Pell sequence
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos7
rdl.oa.statusgold
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)