On Split <i>k</i>-Fibonacci and <i>k</i>-Lucas Quaternions
Emrah Polatli, Can Kizilates, S Kesim
article (Uluslararası, Hakemli) | Yazar(lar): Emrah Polatli, Can Kizilates, S Kesim | Yıl: 2016 | Dergi/Kurum: ADVANCES IN APPLIED CLIFFORD ALGEBRAS | İndeks: WOS.SCI | DOI: 10.1007/s00006-015-0591-4 | Anahtar Kelimeler: Split k-Fibonacci quaternions, Split k-Lucas quaternions — Özet: In this paper, we introduce the sp
In this paper, we introduce the split k-Fibonacci and k-Lucas quaternions. We obtain the Binet formulas, generating functions and exponential generating functions of these quaternions. Moreover, we give the Catalan, Cassini and d'Ocagne identities for the split k-Fibonacci and k-Lucas quaternions.