Fibonacci-p Quaternions

被引:12
|
作者
Tasci, Dursun [1 ]
Yalcin, Feyza [1 ]
机构
[1] Gazi Univ, Fac Sci, Dept Math, TR-06500 Teknikokullar, Turkey
关键词
Fibonacci-p quaternion; Fibonacci quaternion; Fibonacci p-numbers; NUMBERS;
D O I
10.1007/s00006-014-0472-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the Fibonacci-p quaternions which is a generalization of the Fibonacci quaternions are defined by means of recurrence relations. Further, three dimensional case is examined.
引用
收藏
页码:245 / 254
页数:10
相关论文
共 50 条
  • [1] Fibonacci-p Quaternions
    Dursun Tasci
    Feyza Yalcin
    Advances in Applied Clifford Algebras, 2015, 25 : 245 - 254
  • [2] On Bicomplex (p,q)-Fibonacci Quaternions
    Celemoglu, Cagla
    MATHEMATICS, 2024, 12 (03)
  • [3] On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
    Flaut, Cristina
    Shpakivskyi, Vitalii
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) : 673 - 688
  • [4] On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
    Cristina Flaut
    Vitalii Shpakivskyi
    Advances in Applied Clifford Algebras, 2013, 23 : 673 - 688
  • [5] A NOTE ON HYPERBOLIC (p, q)-FIBONACCI QUATERNIONS
    Yagmur, Tulay
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (01): : 880 - 890
  • [6] On Fibonacci Quaternions
    Halici, Serpil
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2012, 22 (02) : 321 - 327
  • [7] On Fibonacci Quaternions
    Serpil Halici
    Advances in Applied Clifford Algebras, 2012, 22 : 321 - 327
  • [8] ON THE PROPERTIES OF (p, q)-FIBONACCI AND (p, q)-LUCAS QUATERNIONS
    Patel, Bijan Kumar
    Ray, Prasanta Kumar
    MATHEMATICAL REPORTS, 2019, 21 (01): : 15 - 25
  • [9] COMPLEX FIBONACCI NUMBERS AND FIBONACCI QUATERNIONS
    HORADAM, AF
    AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (03): : 289 - &
  • [10] Bicomplex Fibonacci quaternions
    Aydin, F. Torunbalci
    CHAOS SOLITONS & FRACTALS, 2018, 106 : 147 - 153