- Turkish Journal of Mathematics and Computer Science
- Vol: 15 Issue: 1
- On Quaternions with Gaussian Oresme Coefficients
On Quaternions with Gaussian Oresme Coefficients
Authors : Fatih YILMAZ, Aybüke ERTAŞ
Pages : 192-202
Doi:10.47000/tjmcs.1133973
View : 93 | Download : 67
Publication Date : 2023-06-30
Article Type : Research Article
Abstract :At this paper, we describe Gaussian Oresme numbers taking into account the Oresme numbers. Furthermore, we investigate their some basic characteristic properties such as Binet formula and Cassini identity, etc. Moreover, we define quaternions with Gaussian Oresme coefficients and obtain their some spectacular properties.Keywords : Generating function, Binet formula, Cassini identity, Catalan identity, D’Ocagne’s identity