Cite

[1] Alves, F.: The Quaterniontonic and Octoniontonic Fibonacci Cassinis Identity: An Historical Investigation with the Maples Help, International Electronic Journal of Mathematics Education 13(3) (2018), 125–138.10.12973/iejme/2703Search in Google Scholar

[2] Berzsenyi, G.: Gaussian Fibonacci numbers, The Fibonacci Quarterly 15(3) (1977), 233–236.Search in Google Scholar

[3] Cerda-Morales, G.: Identities for Third Order Jacobsthal Quaternions. Adv. Appl. Clifford Algebr. 27(2) (2017), 1043–1053,10.1007/s00006-016-0654-1Search in Google Scholar

[4] Cerda-Morales, G.: A note on dual third-order Jacobsthal vectors, Annales Mathematicae et Informaticae 52 (2020), 57–70.Search in Google Scholar

[5] Çimen, C. and İpek, A.: On pell quaternions and Pell-Lucas quaternions, Advances in Applied Clifford Algebras 26(1) (2016), 39–51.10.1007/s00006-015-0571-8Search in Google Scholar

[6] Gauss, C.: Theoria residuorum biquadraticorum. Commentatio prima, Typis Dieterichchianis, 1832.Search in Google Scholar

[7] Halici, S.: On fibonacci quaternions, Advances in applied Clifford algebras 22(2) (2012), 321–327.10.1007/s00006-011-0317-1Search in Google Scholar

[8] Halici, S.: On complex Fibonacci quaternions, Advances in applied Clifford algebras 23(1) (2013), 105–112.10.1007/s00006-012-0337-5Search in Google Scholar

[9] Hamilton, W.: Elements of quaternions, Longmans, Green and Company, 1866.Search in Google Scholar

[10] Horadam, A.F.: Complex Fibonacci numbers and Fibo83nacci quaternions, The American Mathematical Monthly 70(3) (1963), 289–291.10.2307/2313129Search in Google Scholar

[11] Jordan, J.H.: Gaussian Fibonacci and Lucas numbers, The Fibonacci Quarterly 3(4) (1965), 315–318.Search in Google Scholar

[12] Pethe, S. and Horadam, A.F.: Generalised Gaussian Fibonacci numbers, Bulletin of the Australian Mathematical Society 33(1) (1986), 37–48.10.1017/S0004972700002847Search in Google Scholar

[13] Polatli, E. and Kesim, S.: On quaternions with generalized Fibonacci and Lucas number components, Advances in Difference Equations 1 (2015), p. 169.Search in Google Scholar

[14] Szynal-Liana, A. and Wloch, I.: A note on Jacobsthal quaternions, Advances in Applied Clifford Algebras 26(1) (2016), 441–447.10.1007/s00006-015-0622-1Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics