Abstract
In this paper, with the help of higher order Fibonacci numbers, we introduce higher order Fibonacci quaternions that generalize the Fibonacci quaternions studied by Horadam and Halici. We give recurrence relation, Binet formula, generating and exponential generating functions and some other algebraic properties of higher order Fibonacci quaternions.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.ESCI
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Language
English
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Article Type
None
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Keywords
Fibonacci quaternions Higher order Fibonacci quaternions Recurrence relation Generating functions