On Higher Order Lucas Hybrid Quaternions
Authors : Fügen Torunbalcı Aydın
Pages : 46-54
View : 8 | Download : 43
Publication Date : 2024-04-30
Article Type : Research
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