Semantic Apparatus – Generalized commutative quaternions of the Fibonacci type

Cited by Lee Sonogan

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Abstract by Anetta Szynal-Liana &Iwona Włoch 

Quaternions are a four-dimensional hypercomplex number system discovered by Hamilton in 1843 and next intensively applied in mathematics, modern physics, computer graphics and other fields. After the discovery of quaternions, modified quaternions were also defined in such a way that commutative property in multiplication is possible. That number system called as commutative quaternions is intensively studied and used for example in signal processing. In this paper we define generalized commutative quaternions and next based on them we define and explore Fibonacci type generalized commutative quaternions.

Publication: Boletín de la Sociedad Matemática Mexicana (Peer-Reviewed Journal)

Pub Date: 17 Nov, 2021 Doi: https://doi.org/10.1007/s40590-021-00386-4

Keywords: Quaternions, Generalized quaternions, Fibonacci numbers Horadam numbers

https://link.springer.com/article/10.1007/s40590-021-00386-4#citeas (Plenty more sections and references in this research article)

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