A new generalization of Fibonacci and Lucas type sedenions
Can Kizilates, Selihan Kirlak
article (Uluslararası, Hakemli) | Yazar(lar): Can Kizilates, Selihan Kirlak | Yıl: 2023 | Dergi/Kurum: JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | İndeks: WOS.ESCI | DOI: 10.1080/09720529.2022.2036405 | Anahtar Kelimeler: Sedenion algebra, Horadam number, q-integer, Binet-Like formula, Exponential genera
In this paper, by using the q-integer, we introduce a new generalization of Fibonacci and Lucas type sedenions called q-Fibonacci and q-Lucas sedenions. We state that the special cases of these types of sedenions give the various sedenions whose components are defined by second order integer sequences. We also present some fundamental properties of these types of sedenions.