On Hyperbolic Numbers With Generalized Fibonacci Numbers Components
Yueksel Soykan
article (Uluslararası, Hakemli) | Yazar(lar): Yueksel Soykan | Yıl: 2021 — Özet: In this paper, we introduce the generalized hyperbolic Fibonacci numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Fibonacci and hyperbolic Lucas numbers. We present Binet's fo
In this paper, we introduce the generalized hyperbolic Fibonacci numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Fibonacci and hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, GelinCesaro's, Melham's identities and present matrices related with these sequences.