On higher order Fibonacci quaternions
Can Kizilates, Tiekoro Kone
article (Uluslararası, Hakemli) | Yazar(lar): Can Kizilates, Tiekoro Kone | Yıl: 2021 | Dergi/Kurum: JOURNAL OF ANALYSIS | İndeks: WOS.ESCI | DOI: 10.1007/s41478-020-00295-1 | Anahtar Kelimeler: Fibonacci quaternions, Higher order Fibonacci quaternions, Recurrence relation, Generating functions — Özet: In this paper, w
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.