On Higher Order Lucas Hybrid Quaternions

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Konuralp Journal of Mathematics
Volume:12 Issue:1
On Higher Order Lucas Hybrid Quaternions

On Higher Order Lucas Hybrid Quaternions

Authors : Fügen Torunbalcı Aydın

Pages : 46-54

View : 17 | Download : 55

Publication Date : 2024-04-30

Article Type : Research Paper

Abstract :In this article, we introduced higher order Lucas hybrid quaternions with the help of higher order Lucas numbers. We also examined some algebraic properties of these quaternions. By obtaining the recurrence relation, we found the Binet formula, the generating function and the exponential generating function. Finally, we calculated the Vajda identity for the higher order Lucas hybrid quaternions and obtained the Catalan, Cassini and d\'Ocagne identities with the help of this identity.
Keywords : Fibonacci number, Lucas number, Hybrid number, Higher order Lucas number, Binet formula

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