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Unrestricted Pell and Pell – Lucas 2N-ons

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dc.contributor.authorBAYRAKÇI ÖZSOY, Öznur
dc.contributor.authorBİLGİCİ, Göksal
dc.date.accessioned2026-01-04T17:28:53Z
dc.date.issued2022-11-30
dc.description.abstractIn this study, we define unrestricted Pell and Pell – Lucas hyper-complex numbers. We choose arbitrary Pell and Pell – Lucas numbers for the coefficients of the ordered basis 〖{e〗_0,e_1,⋯,e_(N-1)} of hyper-complex 2^N-ons where N∈{0,1,2,3,4} and call these hyper-complex numbers unrestricted Pell and Pell-Lucas 2N-ons. We give generating functions and Binet formulas for these type of hyper-complex numbers. We also obtain some generalization of well – known identities such as Catalan’s, Cassini’s and d’Ocagne’s identities.
dc.description.urihttps://doi.org/10.34088/kojose.1033409
dc.description.urihttps://dergipark.org.tr/tr/pub/kojose/issue/72606/1033409
dc.identifier.doi10.34088/kojose.1033409
dc.identifier.eissn2667-484X
dc.identifier.endpage116
dc.identifier.openairedoi_dedup___::25b67a070299afeb28381fccd9618a96
dc.identifier.orcid0000-0003-2297-4183
dc.identifier.orcid0000-0001-9964-5578
dc.identifier.startpage112
dc.identifier.urihttps://hdl.handle.net/20.500.12597/40152
dc.identifier.volume5
dc.publisherKocaeli Journal of Science and Engineering
dc.relation.ispartofKocaeli Journal of Science and Engineering
dc.rightsOPEN
dc.subjectMatematik
dc.subjectPell sequence
dc.subjectPell-Lucas sequence
dc.subjectQuaternion
dc.subjectOctonion
dc.subjectSedenion
dc.subjectMathematical Sciences
dc.titleUnrestricted Pell and Pell – Lucas 2N-ons
dc.typeArticle
dspace.entity.typePublication
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