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.
Hyperbolic number Fibonacci number Hyperbolic Fibonacci number Hyperbolic vector Hyperbolic Fibonacci vector
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | October 22, 2018 |
| Acceptance Date | January 23, 2019 |
| Publication Date | June 28, 2019 |
| Published in Issue | Year 2019 Volume: 2 Issue: 2 |
Universal Journal of Mathematics and Applications
The published articles in UJMA are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.