ON HORADAM OCTONIONS
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Util Math Publ Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce the Horadam octonions, we give the Binet formula, generating function and exponential generating function of these octonions. Also, we obtain some identities for Horadam octonions including Catalan, Cassini and d'Ocagne identities. By using these results, we have the Binet formula, generating function, summation formula, Catalan and d'Ocagne identities for Fibonacci, Lucas, Jacobsthal, Jacobsthal- Lucas, Pell and Pell- Lucas octonions. Finally, we introduce the matrix generator for Horadam octonions and this generator gives the Cassini formula for the Horadam octonions.
Açıklama
Anahtar Kelimeler
Generating functions, Fibonacci and Lucas numbers and generalizations, Octonions, Horadam sequence
Kaynak
Utilitas Mathematica
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
113
