Geodesic
On split r-Jacobsthal quaternions
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 1.

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In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namely the split r-Jacobsthal quaternions. We give a generating function, Binet formula for these numbers. Moreover, we obtain some identities, among others Catalan, Cassini identities and convolution identity for the split r-Jacobsthal quaternions.
Keywords: Jacobsthal numbers, quaternion, split quaternion, split Jacobsthal quaternion, Binet formula 
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Bród, Dorota. On split r-Jacobsthal quaternions. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 1. http://geodesic.mathdoc.fr/item/AUM_2020_74_1_a4/

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