The generalized bi-periodic fibonacci quaternions and octonions

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ŞAHİN M., TAN E., Yilmaz S.

Novi Sad Journal of Mathematics, cilt.49, sa.1, ss.67-79, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.30755/nsjom.07284
  • Dergi Adı: Novi Sad Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.67-79
  • Anahtar Kelimeler: Bi-periodic Fibonacci sequence, Fibonacci sequence, Octonions, Quaternions
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2019 Novi Sad Journal of Mathematics. All rights reserved.In this paper, we present a further generalization of the bi-periodic Fibonacci quaternions and octonions. We give the generating function, the Binet formula, and some basic properties of these quaternions and octonions. The results of this paper not only give a generalization of the bi-periodic Fibonacci quaternions and octonions, but also include new results such as the matrix representation and the norm value of the generalized bi-periodic Fibonacci sequence.