On generalized Pentanacci quaternions
Yueksel Soykan, Melih Gocen, Nejla Ozmen
article (Uluslararası, Hakemli) | Yazar(lar): Yueksel Soykan, Melih Gocen, Nejla Ozmen | Yıl: 2020 | Dergi/Kurum: TBILISI MATHEMATICAL JOURNAL | İndeks: WOS.ESCI | Anahtar Kelimeler: Pentanacci numbers, quaternions, Pentanacci quaternions, Pentanacci-Lucas quaternions — Özet: In this paper, we introduce the generalized
In this paper, we introduce the generalized Pentanacci quaternions and we present Binet's formulas, generating functions and the summation formulas for these quaternions and as special case for Pentanacci and Pentanacci-Lucas quaternions. Furthermore, we present matrices related to generalized Pentanacci quaternions.