A Generalization of Fibonacci and Lucas Quaternions

被引:0
|
作者
Emrah Polatlı
机构
[1] Bulent Ecevit University,Department of Mathematics, Faculty of Science and Arts
来源
关键词
Generalized Fibonacci quaternions; Generalized Lucas quaternions; Extended Binet formulas; Primary 11B39; Secondary 11B37; 11R52;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we give a generalization of the Fibonacci and Lucas quaternions. We obtain the Binet formulas, generating functions, and some certain identities for these quaternions which include generalizations of some results of Halici.
引用
收藏
页码:719 / 730
页数:11
相关论文
共 50 条
  • [41] On Pell Quaternions and Pell-Lucas Quaternions
    Cennet Bolat Çimen
    Ahmet İpek
    Advances in Applied Clifford Algebras, 2016, 26 : 39 - 51
  • [42] On Hyperbolic Lucas Quaternions
    Dasdemir, Ahmet
    ARS COMBINATORIA, 2020, 150 : 77 - 84
  • [43] On Complex Fibonacci Quaternions
    Halici, Serpil
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (01) : 105 - 112
  • [44] Dual Fibonacci Quaternions
    Semra Kaya Nurkan
    İkay Arslan Güven
    Advances in Applied Clifford Algebras, 2015, 25 : 403 - 414
  • [45] Dual Fibonacci Quaternions
    Nurkan, Semra Kaya
    Guven, Ilkay Arslan
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2015, 25 (02) : 403 - 414
  • [46] Split Fibonacci Quaternions
    Mahmut Akyiğit
    Hidayet Hüda Kösal
    Murat Tosun
    Advances in Applied Clifford Algebras, 2013, 23 : 535 - 545
  • [47] Fibonacci Generalized Quaternions
    Mahmut Akyig̃it
    Hidayet Hüda Kösal
    Murat Tosun
    Advances in Applied Clifford Algebras, 2014, 24 : 631 - 641
  • [48] Split Fibonacci Quaternions
    Akyigit, Mahmut
    Kosal, Hidayet Huda
    Tosun, Murat
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) : 535 - 545
  • [49] On Complex Fibonacci Quaternions
    Serpil Halici
    Advances in Applied Clifford Algebras, 2013, 23 : 105 - 112
  • [50] FIBONACCI SEQUENCES OF QUATERNIONS
    Abrate, Marco
    FIBONACCI QUARTERLY, 2008, 46-47 (04): : 356 - 365