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On Dual \(\varvec{k}\)-Pell Quaternions and Octonions

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Abstract

In this study, we define the dual k-Pell, the dual k-Pell–Lucas, and the dual modified k-Pell quaternions and octonions. We investigate some fundamental algebraic properties of these quaternions and octonions. In addition we give Binet’s formulae and generating functions.

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Correspondence to Paula Catarino.

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This research was financed by Portuguese Funds through FCT Fundação para a Ciência e a Tecnologia, within the Project UID/MAT/00013/2013.

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Catarino, P., Vasco, P. On Dual \(\varvec{k}\)-Pell Quaternions and Octonions. Mediterr. J. Math. 14, 75 (2017). https://doi.org/10.1007/s00009-017-0848-3

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  • DOI: https://doi.org/10.1007/s00009-017-0848-3

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