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BIGAUSSIAN PELL AND PELL-LUCAS POLYNOMIALS

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Özet

In this paper, we define biGaussian Pell and Pell-Lucas Polynomials. We give Binet‘s formulas, generating functions, Catalan’s identities, Cassini’s identities for these polynomials. Matrix presentations of biGaussian Pell and Pell-Lucas polynomials are found. Also, NegabiGaussian Pell and Pell-Lucas Polynomials are defined. Finally, we give some properties for these polynomials. © 2022, University of Montenegro Faculty of Natural Sciences and Mathematics. All rights reserved.

Anahtar Kelimeler

BiGaussian PolynomialsCatalan’s identityGenerating functionsPell and Pell-Lucas polynomials
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, E.
dc.contributor.authorAlp, T.
dc.date.accessioned2026-10-18T20:27:31.106233425Z
dc.date.available2026-10-18T20:27:31.106233425Z
dc.date.issued2022
dc.description.abstractIn this paper, we define biGaussian Pell and Pell-Lucas Polynomials. We give Binet‘s formulas, generating functions, Catalan’s identities, Cassini’s identities for these polynomials. Matrix presentations of biGaussian Pell and Pell-Lucas polynomials are found. Also, NegabiGaussian Pell and Pell-Lucas Polynomials are defined. Finally, we give some properties for these polynomials. © 2022, University of Montenegro Faculty of Natural Sciences and Mathematics. All rights reserved.
dc.identifier.doi10.20948/mathmontis-2022-53-3
dc.identifier.endpage25
dc.identifier.issn0354-2238
dc.identifier.scopus2-s2.0-85207012260
dc.identifier.startpage17
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12639
dc.identifier.volume53
dc.language.isoen
dc.publisherUniversity of Montenegro Faculty of Natural Sciences and Mathematics
dc.relation.ispartofMathematica Montisnigri
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBiGaussian Polynomials
dc.subjectCatalan’s identity
dc.subjectGenerating functions
dc.subjectPell and Pell-Lucas polynomials
dc.titleBIGAUSSIAN PELL AND PELL-LUCAS POLYNOMIALS
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.oa.statusopen
rdl.source.indexSCOPUS