Cite

[1] Cerda-Morales, G., On a Generalization for Tribonacci Quaternions, https://arxiv.org/pdf/1707.04081.pdf, 1–9.Search in Google Scholar

[2] Feinberg, M., Fibonacci-Tribonacci, The Fib. Quart. 1 (1963), 12–15.Search in Google Scholar

[3] Feng, J., More Identities on Tribonacci Numbers, Ars Combin. 100 (2011), 73–78.Search in Google Scholar

[4] Girard, P. R., The Quaternion Group and Modern Physics, Eur. J. Phys. 5 (1984), 25–32.10.1088/0143-0807/5/1/007Search in Google Scholar

[5] Halıcı, S., On Fibonacci Quaternions, Adv. Appl. Clifford Algebras 22 (2012), No. 2, 321–327.10.1007/s00006-011-0317-1Search in Google Scholar

[6] Horadam, A. F., Complex Fibonacci Numbers and Fibonacci Quaternions, Amer. Math. Monthly 70 (1963), 289–291.10.2307/2313129Search in Google Scholar

[7] Horadam, A. F., Quaternion Recurrence Relations, Ulam Quaterly 2 (1993), 23–33.Search in Google Scholar

[8] Howard, F. T., A Tribonacci Identity, Fibonacci Quart. 39 (2001), no. 4, 352–357.Search in Google Scholar

[9] Iakin, A. L., Generalized Quaternions of Higher Order, Fibonacci Quart. 15 (1977), no. 4, 343–346.Search in Google Scholar

[10] Iakin, A. L., Generalized Quaternions with Quaternion Components, Fibonacci Quart. 15 (1977), no. 4, 350–352.Search in Google Scholar

[11] Iyer, M. R., A Note on Fibonacci Quaternions, Fibonacci Quart. 7 (1969) no. 3, 225–229.Search in Google Scholar

[12] Kılıç, E., Tribonacci Sequences with Certain Indices and Their Sums, Ars Combin. 86 (2008), 13–22.Search in Google Scholar

[13] Koshy, T., Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, 2001.10.1002/9781118033067Search in Google Scholar

[14] Kou, K.I., Xia, Y.H., Linear Quaternion Differential Equations: Basic Theory and Fundamental Results, https://arxiv.org/pdf/1510.02224.pdf, 1–42.Search in Google Scholar

[15] Lin, P. Y, De Moivre-Type Identities for the Tribonacci Numbers, Fibonacci Quart. 26 (1988), no. 2, 131–134.Search in Google Scholar

[16] Startek, M., Wloch, A., Wloch, I., Fibonacci Numbers and Lucas Numbers in Graphs, Discrete Appl. Math. 157 (2009), 864–868.10.1016/j.dam.2008.08.028Search in Google Scholar

[17] Yilmaz, N., Taskara, N., Tribonacci and Tribonacci-Lucas numbers via the Determinants of Special Matrices, Appl. Math. Sci. (Ruse) 8 (2014), no. 37-40, 1947–1955.10.12988/ams.2014.4270Search in Google Scholar

eISSN:
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Language:
English
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Volume Open
Journal Subjects:
Mathematics, General Mathematics