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THE 3-PARAMETER GENERALIZED QUATERNIONIC SEQUENCES WITH DGC LEONARDO NUMBERS VIA DOUBLING

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dc.contributor.authorYilmaz, Cigdem Zeynep
dc.contributor.authorSacli, Gulsum Yeliz
dc.date.accessioned2026-06-27T15:36:52Z
dc.date.issued2026
dc.description.abstractThe main theme of this paper is to investigate a generalized quaternionic sequence with dual-generalized complex (DEC) Leonardo numbers via doubling depending on 3-parameters, lambda i is an element of{1,2,3}, using Cayley-Dickson doubling procedure. Firstly, we briefly describe the DEC Fibonacci, DEC Lucas and DEC Leonardo sequences via doubling. After defining the 3-parameter generalized quaternionic (3PGQic) sequence with DEC Leonardo numbers via doubling, we give the Binet's formula, the generating function, Catalan's, Cassini's and d'Ocagne's identities for this sequence. Finally, we discuss the special cases in which well-known quaternionic sequences with DEC Leonardo numbers are obtained.en
dc.description.urihttps://doi.org/10.21136/mb.2026.0033-25
dc.identifier.doi10.21136/mb.2026.0033-25
dc.identifier.eissn2464-7136
dc.identifier.issn0862-7959
dc.identifier.urihttps://hdl.handle.net/20.500.14981/72021
dc.identifier.wos001771732200001
dc.language.isoeng
dc.publisherINST MATHEMATICS, AS CR
dc.relation.ispartofMATHEMATICA BOHEMICA
dc.rightsopenAccess
dc.subjectLeonardo sequence
dc.subjectDEC number
dc.subject3-parameter generalized quaternion
dc.subjectCOMPLEX
dc.subjectEXTENSION
dc.subjectMathematics
dc.titleTHE 3-PARAMETER GENERALIZED QUATERNIONIC SEQUENCES WITH DGC LEONARDO NUMBERS VIA DOUBLING
dc.typeArticle; Early Access
dspace.entity.typePublication
local.import.sourceWOS

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