Hyperbolic Fibonacci Sequence

Abstract

In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product, cross product and mixed product for the hyperbolic Fibonacci vectors.

Keywords

• hyperbolic number
• fibonacci number
• hyperbolic fibonacci number
• hyperbolic vector
• hyperbolic fibonacci vector