A note on bi-periodic Fibonacci and Lucas quaternions
Yükleniyor...
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Motivated by the our recent work in Tan et al., 2016, related to the bi-periodic Fibonacci quaternions, here we introduce the bi-periodic Lucas quaternions that gives the Lucas quaternions as a special case. We give the generating function and the Binet formula for these quaternions. Also, we give the relationships between bi-periodic Fibonacci quaternions and bi-periodic Lucas quaternions. (C) 2016 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Lucas sequence, Generalized Lucas sequence, Recurrence relations, Quaternions
Kaynak
Chaos Solitons & Fractals
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
85
Sayı
Künye
closedAccess
