Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions
In this paper, we define the k-Fibonacci and the k-Lucas quaternions. We investigate the generating functions and Binet formulas for these quaternions. In addition, we derive some sums formulas and identities such as Cassini’s identity.
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| Format: | Article |
| Language: | English |
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Sciendo
2015-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.1515/auom-2015-0037 |