Introduces Pell elliptic quaternions, revealing their functions and identities.
In this paper, we introduce and study the Pell, Pell-Lucas, and r -Pell elliptic quaternions. We give the ordinary generating functions, the Binet-type formulas, general bilinear index-reduction formulas, and the convolution identities for these quaternions. Finally, we define the Pell and Pell-Lucas elliptic quaternion polynomials of one and two variables.
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Bród et al. (2026) studied this question.
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