On Complex Fibonacci Quaternions

被引：68
|
作者：
Halici, Serpil [1 ]
机构：
[1] Sakarya Univ, Fac Arts & Sci, Dept Math, TR-54187 Sakarya, Turkey
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2013年 / 23卷 / 01期
关键词：
Recurrence Relations; Fibonacci Numbers; Quaternions;
D O I：
10.1007/s00006-012-0337-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula for these quaternions. Moreover, we also give the matrix representations of them.
引用
收藏
页码：105 / 112
页数：8
相关论文
共 50 条
  • [21] Pauli-Fibonacci quaternions
    Aydin, Fugen Torunbalci
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (03) : 184 - 193
  • [22] A Generalization of Fibonacci and Lucas Quaternions
    Emrah Polatlı
    Advances in Applied Clifford Algebras, 2016, 26 : 719 - 730
  • [23] Fibonacci-p Quaternions
    Tasci, Dursun
    Yalcin, Feyza
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2015, 25 (01) : 245 - 254
  • [24] Fibonacci-p Quaternions
    Dursun Tasci
    Feyza Yalcin
    Advances in Applied Clifford Algebras, 2015, 25 : 245 - 254
  • [25] On a new generalization of Fibonacci quaternions
    Tan, Elif
    Yilmaz, Semih
    Sahina, Murat
    CHAOS SOLITONS & FRACTALS, 2016, 82 : 1 - 4
  • [26] A Generalization of Fibonacci and Lucas Quaternions
    Polatli, Emrah
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 719 - 730
  • [27] A New Aspect of Dual Fibonacci Quaternions
    Yuce, Salim
    Aydin, Fugen Torunbalci
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 873 - 884
  • [28] k-ORDER FIBONACCI QUATERNIONS
    Asci, Mustafa
    Aydinyuz, Suleyman
    JOURNAL OF SCIENCE AND ARTS, 2021, (01): : 29 - 38
  • [29] A New Aspect of Dual Fibonacci Quaternions
    Salim Yüce
    Fügen Torunbalcı Aydın
    Advances in Applied Clifford Algebras, 2016, 26 : 873 - 884
  • [30] Generalized commutative quaternions of the Fibonacci type
    Szynal-Liana, Anetta
    Wloch, Iwona
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (01):
12345