Affiliation:
1. Yildiz Technical University, Department of Mathematics, 34220 Istanbul, Türkiye
Abstract
In this article, 3-parameter generalized quaternionic Leonardo p-sequence which is a quaternion generalization of the Leonardo p-sequence is presented. Several properties are examined by means of their homogeneous and non-homogeneous recursive relations. According to the special cases of 3-parameter λ_(i ∈ \{1,2,3\}) and p, all the results given in paper are reducible to all quaternions mentioned in this paper.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Reference23 articles.
1. Koshy, T., Fibonacci and Lucas numbers with applications, John Wiley & Sons, New York, 2001.
2. Catarino, P., Borges, A., Acta Mathematica Universitatis Comenianae, 89(1), 75, 2020.
3. Abbad, S., Belbachir, H., Benzaghou, B., Turkish Journal of Mathematics, 43(3), 1095, 2019.
4. Kocer, E. G., Tuglu, N., Stakhov, A., Chaos Solitons and Fractals, 40(4), 1890, 2009.
5. Stakhov, A., Rozin, B., Chaos Solitons and Fractals, 27(5), 1162, 2006.