Bi-Periodic Balancing Quaternions

References (1)

1. Behera, A., Panda, G.K., On the square roots of triangular numbers, Fibonacci Quarterly, 37(2)(1999), 98–105. 1 [2] Edson, M., Yayenie, O., A new generalization of Fibonacci sequences and extended Binet’s formula, Integers, 9(6)(2009), 639–654. 1 [3] Halıcı, S., On Fibonacci quaternions, Advances in Applied Clifford Algebras, 22(2)(2012), 321–327. 1 [4] Hamilton, W.R., Lectures on quaternions, Dublin, 1853. 1 [5] Horadam, A.F., Complex Fibonacci numbers and Fibonacci quaternions, The American Mathematical Monthly, 70(3)(1963), 289–291. 1 [6] Iyer, M.R., Some results on Fibonacci quaternions, Fibonacci Quarterly, 7(2)(1969), 201–210. 1 [7] Jordan, J.H., Gaussian Fibonacci and Lucas numbers, Fibonacci Quarterly, 3(1965), 315–318. 1 [8] Koshy, T., Fibonacci and Lucas numbers with applications, Wiley, New York, 2001. 1 [9] Ozkan Kızılırmak, G., Tascı, D., Expression of reciprocal sum of Gaussian Lucas sequences by Lambert series, Journal of Science and Arts, 48(3)(2019), 587–592. 1 [10] Tan, E., Yılmaz, S., Sahin, M., A note on bi-periodic Fibonacci and Lucas quaternions, Chaos, Solitions and Fractals, 85(2016), 138–142. 1 [11] Tascı, D., Ozkan Kızılırmak, G., On the periods of bi-periodic Fibonacci and bi-periodic Lucas numbers, Discrete Dynamics in Nature and Society, (2016), 1–5. 1