Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2022, , 331 - 339, 30.12.2022
https://doi.org/10.47000/tjmcs.1097599

Öz

Kaynakça

  • Akbıyık, M, Alo, J., On third order bronze Fibonacci numbers, Mathematics, 9(2021), 2606,.
  • Aydın, F.T., Bicomplex Fibonacci quaternions, Chaos, Solitons and Fractals, 106(2018), 147–153.
  • Cerda, G., Bicomplex third order Jacobsthal quaternions, arXiv:1809.06979 [math.AC].
  • Cerda-Morales, G., Identites for third order Jacobsthal quaternions, Advances in Applied Clifford Algebras, 27(2)(2017), 1043–1053.
  • Cerda-Morales, G., Dual third-order Jacobsthal quaternions, Proyecciones Journal of Mathematics, 37(4)(2018), 731–747.
  • Cerda-Morales G., Some results on dual third-order Jacobsthal quaternions, Filomat, 33(7)(2019), 1865–1876.
  • Gül, K., On the k- Pell quaternions and the k-Pell-Lucas quaternions, Iğdır Üni. Fen Bilimleri Enst. Der. / Iğdır Univ. J. Inst. Sci. & Tech., 8(1)(2018), 23–35.
  • Halici, S., On Fibonacci quaternions, Advances in Applied Clifford Algebras, 22(2012), 321–327.
  • Halici, S., Karataş, A., On a generalization for Fibonacci quaternions, Chaos, Solitons Fractals, 98(2017), 178–182.
  • Halici, S., Cerda-Morales, G., On quaternions-Gaussian Fibonacci numbers and their properties, An. S¸ t. Univ. Ovidius Constanta, 29(1)(2021), 71–82.
  • Halici, S., On complex Fibonacci quaternions, Adv. Appl. Clifford Algebras, 23(2013), 105–112.
  • Halici, S., On dual Fibonacci quaternions, Selcuk Journal of Applied Mathematics, 15(1)(2013).
  • Hamilton, W.R., Elements of Quaternions, London, Logmans, Green&Company, 1866.
  • Hoggatt, V.E., Fibonacci and Lucas numbers, Houghton Mifflin Company, 1969.
  • Horodam, A.F., Complex Fibonacci numbers and Fibonacci quaternions, Am. Math. Month., 70(3)(1963), 289–291.
  • Soykan, Y., On generalized third-order Pell numbers, Asian Journal of Advanced Research and Reports, 6(1)(2019), 1–18.
  • Swamy, M.N.S., On generalized Fibonacci quaternions, The Fibonacci Quarterly, 11(5)(1973), 547–550.
  • Yüce, S., Aydın, F.T., Generalized dual Fibonacci quaternions, Applied Mathematics E-Notes, 14(2016), 276–289.
  • Yamaç Akbıyık, S., Akbıyık, M., Yüce, S. On metallic ratio in Z(p), Mathematical Methods in the Applied Sciences, 42(16)(2019), 5535–5550.
  • Zhang, F., Quaternions and matrices of quaternions, Linear Algebra and Its Applications, 251(1997), 21–57.

On Third Order Bronze Fibonacci Quaternions

Yıl 2022, , 331 - 339, 30.12.2022
https://doi.org/10.47000/tjmcs.1097599

Öz

In this study, we define third order bronze Fibonacci quaternions. We obtain the generating functions, the Binet's formula and some properties of these quaternions. We give d'Ocagne's-like and Cassini's-like identity and we use q-determinants for quaternionic matrices to give the Cassini's identity for third order bronze Fibonacci quaternions.

Kaynakça

  • Akbıyık, M, Alo, J., On third order bronze Fibonacci numbers, Mathematics, 9(2021), 2606,.
  • Aydın, F.T., Bicomplex Fibonacci quaternions, Chaos, Solitons and Fractals, 106(2018), 147–153.
  • Cerda, G., Bicomplex third order Jacobsthal quaternions, arXiv:1809.06979 [math.AC].
  • Cerda-Morales, G., Identites for third order Jacobsthal quaternions, Advances in Applied Clifford Algebras, 27(2)(2017), 1043–1053.
  • Cerda-Morales, G., Dual third-order Jacobsthal quaternions, Proyecciones Journal of Mathematics, 37(4)(2018), 731–747.
  • Cerda-Morales G., Some results on dual third-order Jacobsthal quaternions, Filomat, 33(7)(2019), 1865–1876.
  • Gül, K., On the k- Pell quaternions and the k-Pell-Lucas quaternions, Iğdır Üni. Fen Bilimleri Enst. Der. / Iğdır Univ. J. Inst. Sci. & Tech., 8(1)(2018), 23–35.
  • Halici, S., On Fibonacci quaternions, Advances in Applied Clifford Algebras, 22(2012), 321–327.
  • Halici, S., Karataş, A., On a generalization for Fibonacci quaternions, Chaos, Solitons Fractals, 98(2017), 178–182.
  • Halici, S., Cerda-Morales, G., On quaternions-Gaussian Fibonacci numbers and their properties, An. S¸ t. Univ. Ovidius Constanta, 29(1)(2021), 71–82.
  • Halici, S., On complex Fibonacci quaternions, Adv. Appl. Clifford Algebras, 23(2013), 105–112.
  • Halici, S., On dual Fibonacci quaternions, Selcuk Journal of Applied Mathematics, 15(1)(2013).
  • Hamilton, W.R., Elements of Quaternions, London, Logmans, Green&Company, 1866.
  • Hoggatt, V.E., Fibonacci and Lucas numbers, Houghton Mifflin Company, 1969.
  • Horodam, A.F., Complex Fibonacci numbers and Fibonacci quaternions, Am. Math. Month., 70(3)(1963), 289–291.
  • Soykan, Y., On generalized third-order Pell numbers, Asian Journal of Advanced Research and Reports, 6(1)(2019), 1–18.
  • Swamy, M.N.S., On generalized Fibonacci quaternions, The Fibonacci Quarterly, 11(5)(1973), 547–550.
  • Yüce, S., Aydın, F.T., Generalized dual Fibonacci quaternions, Applied Mathematics E-Notes, 14(2016), 276–289.
  • Yamaç Akbıyık, S., Akbıyık, M., Yüce, S. On metallic ratio in Z(p), Mathematical Methods in the Applied Sciences, 42(16)(2019), 5535–5550.
  • Zhang, F., Quaternions and matrices of quaternions, Linear Algebra and Its Applications, 251(1997), 21–57.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Jeta Alo 0000-0002-9149-7811

Yayımlanma Tarihi 30 Aralık 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA Alo, J. (2022). On Third Order Bronze Fibonacci Quaternions. Turkish Journal of Mathematics and Computer Science, 14(2), 331-339. https://doi.org/10.47000/tjmcs.1097599
AMA Alo J. On Third Order Bronze Fibonacci Quaternions. TJMCS. Aralık 2022;14(2):331-339. doi:10.47000/tjmcs.1097599
Chicago Alo, Jeta. “On Third Order Bronze Fibonacci Quaternions”. Turkish Journal of Mathematics and Computer Science 14, sy. 2 (Aralık 2022): 331-39. https://doi.org/10.47000/tjmcs.1097599.
EndNote Alo J (01 Aralık 2022) On Third Order Bronze Fibonacci Quaternions. Turkish Journal of Mathematics and Computer Science 14 2 331–339.
IEEE J. Alo, “On Third Order Bronze Fibonacci Quaternions”, TJMCS, c. 14, sy. 2, ss. 331–339, 2022, doi: 10.47000/tjmcs.1097599.
ISNAD Alo, Jeta. “On Third Order Bronze Fibonacci Quaternions”. Turkish Journal of Mathematics and Computer Science 14/2 (Aralık 2022), 331-339. https://doi.org/10.47000/tjmcs.1097599.
JAMA Alo J. On Third Order Bronze Fibonacci Quaternions. TJMCS. 2022;14:331–339.
MLA Alo, Jeta. “On Third Order Bronze Fibonacci Quaternions”. Turkish Journal of Mathematics and Computer Science, c. 14, sy. 2, 2022, ss. 331-9, doi:10.47000/tjmcs.1097599.
Vancouver Alo J. On Third Order Bronze Fibonacci Quaternions. TJMCS. 2022;14(2):331-9.