On Quaternions with Gaussian Oresme Coefficients

Yıl 2023, Cilt: 15 Sayı: 1, 192 - 202, 30.06.2023

Fatih Yılmaz , Aybüke Ertaş

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

Öz

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.

Anahtar Kelimeler

Generating function, Binet formula, Cassini identity, Catalan identity, D’Ocagne’s identity

Kaynakça

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