h-analogue of Fibonacci Numbers

Details h-analogue of Fibonacci Numbers h-analogue of Fibonacci Numbers

2009-09-30

arxiv.org/abs/0910.0038v1

Physics

Mathematical Physics

21 pages, No figures

Scientific paper

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.

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