On a new generalization of Fibonacci quaternions
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Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present a new generalization of the Fibonacci quaternions that are emerged as a generalization of the best known quaternions in the literature, such as classical Fibonacci quaternions, Pell quaternions, k-Fibonacci quaternions. We give the generating function and the Binet formula for these quaternions. By using the Billet formula, we obtain some well-known results. Also, we correct some results in [3] and [4] which have been overlooked that the quaternion multiplication is non commutative. (C) 2015 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Fibonacci sequence, Generalized Fibonacci sequence, Recurrence relations, Quaternions
Kaynak
Chaos Solitons & Fractals
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
82
Sayı
Künye
closedAccess
