h-analogue of Fibonacci Numbers
Mathematical Physics
2009-10-02 v1 math.MP
Abstract
In this paper, we introduce the h-analogue of Fibonacci numbers for non-commutative h-plane. For h h'= 1 and h = 0, these are just the usual Fibonacci numbers as it should be. We also derive a collection of identities for these numbers. Furthermore, h-Binet's formula for the h-Fibonacci numbers is found and the generating function that generates these numbers is obtained.
Cite
@article{arxiv.0910.0038,
title = {h-analogue of Fibonacci Numbers},
author = {H. B. Benaoum},
journal= {arXiv preprint arXiv:0910.0038},
year = {2009}
}
Comments
21 pages, No figures