On (p, q)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums

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dc.authorid0000-0001-5821-2426en_US
dc.contributor.authorİpek, Ahmet
dc.date.accessioned2019-12-06T21:15:58Z
dc.date.available2019-12-06T21:15:58Z
dc.date.issued2017
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS:000401669000029en_US
dc.description.abstractFormulas and sums involving many well-known special quaternion sequences (such as the Fibonacci, Pell, Jacobsthal quaternion sequences and so on) play important roles in various branches of science. Binet formulas, generating functions and certain sums of these quaternion sequences based on Fibonacci-like numbers have been investigated by a number of authors in many different ways. In this paper, which is a sequel to earlier works, we first introduce a new class of (p, q)-Fibonacci quaternions which generalizes Fibonacci, Pell, and Jacobsthal quaternions, and then we derive a new Binet formula, generating functions, and certain binomial sums for these quaternions.en_US
dc.identifier.citationİpek, A. (2017). On (p, q)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums. Advances in Applied Clifford Algebras, 27, 2, 1343-1351.
dc.identifier.doi10.1007/s00006-016-0704-8
dc.identifier.endpage1351en_US
dc.identifier.issn0188-7009
dc.identifier.issn1661-4909
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84978910568
dc.identifier.scopusqualityQ3
dc.identifier.startpage1343en_US
dc.identifier.urihttps://dx.doi.org/10.1007/s00006-016-0704-8
dc.identifier.urihttps://hdl.handle.net/11492/2776
dc.identifier.volume27en_US
dc.identifier.wosWOS:000401669000029
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorİpek, Ahmet
dc.language.isoen
dc.publisherSpringer Basel Agen_US
dc.relation.journalAdvances in Applied Clifford Algebrasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFibonacci Quaternionen_US
dc.subjectBinet Formulaen_US
dc.subjectGenerating Functionen_US
dc.subjectBinomial Sumen_US
dc.titleOn (p, q)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sumsen_US
dc.typeArticle

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