SavedAdd your journal

Journals / 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
Pages
—
Publication Date
2020-06-30
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we define the associate matrix as%

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define the associate matrix as%
📊
Key Findings & Data:In this paper, we define the associate matrix as%
💡
Conclusion & Impact:In this paper, we define the associate matrix as%
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fibonacci Quaternions · Lucas Quaternions · recurrence relations

Abstract

In this paper, we define the associate matrix as%

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (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.