Fibonacci-p Quaternions

被引:0
作者
Dursun Tasci
Feyza Yalcin
机构
[1] Gazi University,Faculty of Science, Department of Mathematics
来源
Advances in Applied Clifford Algebras | 2015年 / 25卷
关键词
Fibonacci-; quaternion; Fibonacci quaternion; Fibonacci ; -numbers;
D O I
暂无
中图分类号
学科分类号
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.
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页码:245 / 254
页数:9
相关论文
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  • [1] Horadam A.F.(1963)Complex Fibonacci numbers and Fibonacci quaternions Amer. Math. Monthly 70 289-291
  • [2] Horadam A.F.(1993)Quaternion recurrence relations Ulam Quarterly 2 23-33
  • [3] Iakin A.L.(1977)Generalized quaternions of higher order The Fibonacci Quarterly 15 343-346
  • [4] Stakhov A.(2006)Theory of Binet formulas for Fibonacci and Lucas pnumbers Chaos Solitons and Fractals 27 1162-1177
  • [5] Rozin B.(1981)Complex Fibonacci numbers The Fibonacci Quarterly 19 82-86
  • [6] Harman C.J.(2010)Incomplete Fibonacci and Lucas Mathematical and Computer Modelling 52 1763-1770
  • [7] Tasci D.(2013)-numbers Advances in Applied Clifford Algebras 23 535-545
  • [8] Firengiz M.C.(1973)Split Fibonacci quaternions The Fibonacci Quarterly 11 547-550
  • [9] Akyigit M.(1969)On generalized Fibonacci quaternions The Fibonacci Quarterly 7 201-210
  • [10] Kösal H.H.(1969)Some results on Fibonacci quaternions The Fibonacci Quarterly 3 225-229