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On the new narayana polynomials, the gauss narayana numbers and their polynomials

ArticleAçık Erişim

Özet

We give a new definition of Narayana polynomials and show that there is a relationship between the coefficient of the new Narayana polynomials and Pascal's triangle. We define the Gauss Narayana numbers and their polynomials. Then we show that there is a relationship between the Gauss Narayana polynomials and the new Narayana polynomials. Also, we show that there is a relationship between the derivatives of the new Narayana polynomials and Pascal's triangle. We also explain the relationship between the new Narayana polynomials and the known Pell numbers. Finally, we give the Hankel transform of the new Narayana polynomials. © 2021 World Scientific Publishing Company.

Anahtar Kelimeler

Gauss narayana numbersGauss narayana polynomialsThe new narayana polynomials
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13024Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1142/s179355712150100xYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, Engi˙n
dc.contributor.authorKuloǧlu, Bahar
dc.date.accessioned2026-10-18T20:27:52.152418521Z
dc.date.available2026-10-18T20:27:52.152418521Z
dc.date.issued2021
dc.description.abstractWe give a new definition of Narayana polynomials and show that there is a relationship between the coefficient of the new Narayana polynomials and Pascal's triangle. We define the Gauss Narayana numbers and their polynomials. Then we show that there is a relationship between the Gauss Narayana polynomials and the new Narayana polynomials. Also, we show that there is a relationship between the derivatives of the new Narayana polynomials and Pascal's triangle. We also explain the relationship between the new Narayana polynomials and the known Pell numbers. Finally, we give the Hankel transform of the new Narayana polynomials. © 2021 World Scientific Publishing Company.
dc.identifier.doi10.1142/s179355712150100x
dc.identifier.eissn1793-7183
dc.identifier.issn1793-5571
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85089487525
dc.identifier.startpage2150100
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13024
dc.identifier.volume14
dc.identifier.wosWOS:000668940000016
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofAsian-European Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectGauss narayana numbers
dc.subjectGauss narayana polynomials
dc.subjectThe new narayana polynomials
dc.titleOn the new narayana polynomials, the gauss narayana numbers and their polynomials
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus19
rdl.citation.wos14
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)