On quaternions with generalized Fibonacci and Lucas number components
Emrah Polatli, S Kesim
article (Uluslararası, Hakemli) | Yazar(lar): Emrah Polatli, S Kesim | Yıl: 2015 | Dergi/Kurum: ADVANCES IN DIFFERENCE EQUATIONS | İndeks: WOS.SCI | DOI: 10.1186/s13662-015-0511-x | Anahtar Kelimeler: generalized Fibonacci quaternions, generalized Lucas quaternions — Özet: In this paper, we give the exponential generat
In this paper, we give the exponential generating functions for the generalized Fibonacci and generalized Lucas quaternions, respectively. Moreover, we give some new formulas for binomial sums of these quaternions by using their Binet forms.