On Quaternions with Gaussian Oresme Coefficients

Year 2023, , 192 - 202, 30.06.2023

Fatih Yılmaz , Aybüke Ertaş

https://doi.org/10.47000/tjmcs.1133973

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

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