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Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials

ArticleAçık Erişim

Özet

We introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the Hankel transform to the Catalan transforms of these numbers. We calculate determinants of matrixes formed with CJk,nlby using Hankel transform. Then we define the incomplete h(x)-Jacobsthal polynomials. Then we examine the recurrence relation and some properties of these polynomials. © 2022 World Scientific Publishing Company.

Anahtar Kelimeler

Binet formulagenerating functionh (x)-Jacobsthal polynomialsHankel transformincomplete h (x)- Jacobsthal polynomials
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12616Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1142/s1793557122501194Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, Engi˙n
dc.contributor.authorUysal, Mi˙ne
dc.contributor.authorKuloǧlu, Bahar
dc.date.accessioned2026-10-18T20:27:29.738009422Z
dc.date.available2026-10-18T20:27:29.738009422Z
dc.date.issued2022
dc.description.abstractWe introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the Hankel transform to the Catalan transforms of these numbers. We calculate determinants of matrixes formed with CJk,nlby using Hankel transform. Then we define the incomplete h(x)-Jacobsthal polynomials. Then we examine the recurrence relation and some properties of these polynomials. © 2022 World Scientific Publishing Company.
dc.description.sponsorshipWe would like to thank the editor and referees for their valuable comments and remarks which led to a great improvement of the paper. The research has been supported by Erzincan Binali Yildirim University Rectorship under The Scientific and Research Project of Erzincan Binali Yildirim University, project no. FBA-2021-783.
dc.identifier.doi10.1142/s1793557122501194
dc.identifier.eissn1793-7183
dc.identifier.issn1793-5571
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85114643148
dc.identifier.startpage2250119
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12616
dc.identifier.volume15
dc.identifier.wosWOS:000810932100002
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofAsian-European Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBinet formula
dc.subjectgenerating function
dc.subjecth (x)-Jacobsthal polynomials
dc.subjectHankel transform
dc.subjectincomplete h (x)- Jacobsthal polynomials
dc.titleCatalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus9
rdl.citation.wos7
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)