On Quaternions with Gaussian Oresme Coefficients

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Turkish Journal of Mathematics and Computer Science
Volume: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 : 132 | Download : 78

Publication Date : 2023-06-30

Article Type : Research Paper

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, DOcagnes identity

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