Tessarine Number Sequences and Quantum Calculus Approach
Öz
Anahtar Kelimeler
q-Fibonacci tessarine number sequences, q-Lucas tessarine number sequences, Tessarine numbers
Kaynakça
- Babadağ, F. (2017). Tessarines and homothetic exponential motions in 4-dimensional Euclidean space. Beykent University Journal of Science and Engineering, 10(1), 1-13.
- Babadağ, F., & Uslu, M. (2021). A new approach to Fibonacci tessarines with Fibonacci and Lucas number. Adıyaman University Journal of Science (ADYU J SCI), 11(2), 263-275. https://doi.org/10.37094/adyujsci.852037
- Babadağ, F. (2023). Quantum calculus approach to the dual number sequences. Research on Mathematics and Science- III, 3, 49-60. https://doi.org/10.58830/ozgur.pub252
- Cockle, J. (1849). III. On a new imaginary in algebra. The London Edinburgh and Dublin Philosophical Magazine and Journal of Science, 34(226), 37-47. https://doi.org/10.1080/14786444908646169
- Cockle, J. (1850). XXXI. On impossible equations, on impossible quantities, and on tessarines. The London Edinburgh and Dublin Philosophical Magazine and Journal of Science, 37(250), 281-283. https://doi.org/10.1080/14786445008646598
- Horadam, A. F. (1961). A generalized Fibonacci sequence. The American Mathematical Monthly, 68(5), 455-459. https://doi.org/10.1080/00029890.1961.11989696
- Horadam, A. F. (1963). Complex Fibonacci numbers and Fibonacci quaternions. The American Mathematical Monthly, 70(3), 289-291. https://doi.org/10.2307/2313129
- Kac, V., & Cheung, P. (2002). Quantum calculus. Springer. http://dx.doi.org/10.1007/978-1-4613-0071-7
- Kome, S., Kome, C., & Catarino, P. (2022). Quantum calculus approach to the dual bicomplex Fibonacci and Lucas number. Journal of Mathematical Extension, 6(2), 1-17. https://doi.org/10.30495/JME.2022.1906
- Koshy, T. (2018). Fibonacci and Lucas numbers with applications, 1. John Wiley Sons.