Abstract
A number of families of quaternion and octonion number sequence such as (Fibonacci quaternion, Fibonacci octonion and so forth) have been studied by several authors in many different ways. Besides, several formulas and identities involving these number sequences have been presented. The aim of this paper is to consider the octonions with components including quantum integers. We called these type of octonions the q-Fibonacci octonions and the q-Lucas octonions respectively. Furthermore, we give Binet formulas, exponential generating functions, summation formulas, Catalan identities, Cassini identities and d'Ocagne identities, respectively.
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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
Octonions Horadam numbers Q-integer Q-calculus