Abstract
In this paper, we introduce the split k-Fibonacci and k-Lucas quaternions. We obtain the Binet formulas, generating functions and exponential generating functions of these quaternions. Moreover, we give the Catalan, Cassini and d'Ocagne identities for the split k-Fibonacci and k-Lucas quaternions.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.SCI
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Language
English
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Article Type
None
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Keywords
Split k-Fibonacci quaternions Split k-Lucas quaternions