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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

More identities for Fibonacci and Lucas quaternions

Nurettin Irmak0000-0003-0409-4342
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Yayın Tarihi
2020-06-30
DOI
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In this paper, we define the associate matrix as%

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we define the associate matrix as%
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Temel Bulgular & Veri:In this paper, we define the associate matrix as%
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Sonuç & Katkı:In this paper, we define the associate matrix as%
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fibonacci Quaternions · Lucas Quaternions · recurrence relations

Abstract

In this paper, we define the associate matrix as%

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Bu Makaleye Atıf Yap

Irmak, N. (2020). More identities for Fibonacci and Lucas quaternions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://ajindex.com/articles/1469805

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Kaynakça (11)

  1. Koshy, T. Fibonacci and Lucas numbers with applications, Wiley, Newyork, 2001.
  2. Horadam, A. F. Complex Fibonacci numbers and Fibonacci Quaternions, Amer. Math. Monthly, 70 (1963), 289-291.
  3. Iyer, M. R. A note on Fibonacci Quaternions, The Fib. Quarterly, 3 (1969), 225-229.
  4. Swamy, M. N. S. On generalized Fibonacci quaternions, The Fib. Quarterly, 5 (1973), 547-550.
  5. Halıcı, S. On Fibonacci Quaterions, Adv. Appl. Clifford Algebras, 12 (2012), 321-327.
  6. Akyiğit, M., Kösal, H. H., Tosun, M. Split Fibonacci Quaternions, Adv. Appl. Clifford Algebras, 23 (2013), 535-545.
  7. Akyiğit, M., Kösal, H. H., Tosun, M. Fibonacci Generalized Quaternions, Adv. Appl. Clifford Algebras, 24 (2014), 631-641.
  8. Tan, E., Yılmaz, S., Şahin, M. A new generalization of Fibonacci quaternions, Chaos Solitions Fractals, 82 2016, 1-4.
  9. Tan, E., Yılmaz, S., Şahin, M. A Note on bi-periodic Fibonacci and Lucas quaternions, Chaos Solitions Fractals, 85 2016, 138-142.
  10. Tan, E., Sahin, M., Yilmaz, S. The generalized bi-periodic Fibonacci quaternions and octonions. Novi Sad J. Math. doi.org/10.30755/NSJOM.07284.
  11. Morais, J. P., Georgiev, S., Spröbig, W. Real Quaternionic Calculus Handbook, Birkhauser, London, 2014.