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Fibonacci-p Quaternions

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Abstract

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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References

  1. Horadam A.F.: Complex Fibonacci numbers and Fibonacci quaternions. Amer. Math. Monthly 70, 289–291 (1963)

    Article  MATH  MathSciNet  Google Scholar 

  2. Horadam A.F.: Quaternion recurrence relations. Ulam Quarterly 2, 23–33 (1993)

    MathSciNet  Google Scholar 

  3. Iakin A.L.: Generalized quaternions of higher order. The Fibonacci Quarterly 15, 343–346 (1977)

    MATH  MathSciNet  Google Scholar 

  4. Stakhov A., Rozin B.: Theory of Binet formulas for Fibonacci and Lucas pnumbers. Chaos Solitons and Fractals 27, 1162–1177 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. Harman C.J.: Complex Fibonacci numbers. The Fibonacci Quarterly 19, 82–86 (1981)

    MATH  MathSciNet  Google Scholar 

  6. Tasci D., Firengiz M.C.: Incomplete Fibonacci and Lucas p-numbers. Mathematical and Computer Modelling 52, 1763–1770 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  7. Akyigit M., Kösal H.H., Tosun M.: Split Fibonacci quaternions. Advances in Applied Clifford Algebras 23, 535–545 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  8. Swamy M.N.S.: On generalized Fibonacci quaternions. The Fibonacci Quarterly 11(5), 547–550 (1973)

    MATH  MathSciNet  Google Scholar 

  9. Iyer M.R.: Some results on Fibonacci quaternions. The Fibonacci Quarterly 7(2), 201–210 (1969)

    MATH  MathSciNet  Google Scholar 

  10. Iyer M.R.: A note on Fibonacci quaternions. The Fibonacci Quarterly 3, 225–229 (1969)

    MathSciNet  Google Scholar 

  11. Tuglu N., Kocer G., Stakhov A.: Bivariate Fibonacci like p-polynomials. Applied Mathematics and Computation 217, 10239–10246 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  12. Halici S.: On Fibonacci quaternions. Advances in Applied Clifford Algebras 22, 321–327 (2012)

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Faculty of Science, Department of Mathematics, Gazi University, 06500, Teknikokullar Ankara, Turkey

    Dursun Tasci & Feyza Yalcin

Authors
  1. Dursun Tasci
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  2. Feyza Yalcin
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Correspondence to Feyza Yalcin.

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Tasci, D., Yalcin, F. Fibonacci-p Quaternions. Adv. Appl. Clifford Algebras 25, 245–254 (2015). https://doi.org/10.1007/s00006-014-0472-2

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  • DOI: https://doi.org/10.1007/s00006-014-0472-2

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