A Generalization of Fibonacci and Lucas Quaternions
Emrah Polatli
article (Uluslararası, Hakemli) | Yazar(lar): Emrah Polatli | Yıl: 2016 | Dergi/Kurum: ADVANCES IN APPLIED CLIFFORD ALGEBRAS | İndeks: WOS.SCI | DOI: 10.1007/s00006-015-0626-x | Anahtar Kelimeler: Generalized Fibonacci quaternions, Generalized Lucas quaternions, Extended Binet formulas — Özet: In this paper, we give a
In this paper, we give a generalization of the Fibonacci and Lucas quaternions. We obtain the Binet formulas, generating functions, and some certain identities for these quaternions which include generalizations of some results of Halici.