JP Journal of Algebra, Number Theory and Applications
Volume 41, Issue 1, Pages 1 - 17
(January 2019) http://dx.doi.org/10.17654/NT041010001 |
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ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS
Nayil Kilic
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Abstract: In this paper, we investigate the k-Jacobsthal octonions and the k-Jacobsthal-Lucas octonions, we give the Binet formulas, generating functions and exponential generating functions of these octonions. Indeed, we obtain the Catalan, Cassini and d’Ocagne identities for k-Jacobsthal and k-Jacobsthal-Lucas octonions. |
Keywords and phrases: generating functions, k-Jacobsthal octonions, k-Jacobsthal-Lucas octonions, k-Jacobsthal numbers, k-Jacobsthal-Lucas numbers.
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