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| dc.contributor.author | Han, Jeong Soon | |
| dc.contributor.author | Kim, Hee Sik | |
| dc.contributor.author | Neggers, Joseph | |
| dc.date.accessioned | 2021-07-13T14:34:59Z | |
| dc.date.available | 2021-07-13T14:34:59Z | |
| dc.date.issued | 2012 | |
| dc.identifier.citation | Han, J., Kim, H., Neggers, J. (2012): On Fibonacci Functions with Fibonacci Numbers. Advances in Difference Equations. Article Number 126. | en_US |
| dc.identifier.uri | http://ir.ua.edu/handle/123456789/7977 | |
| dc.description.abstract | In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R, f(x + 2) = f(x + 1) + f(x). We develop the notion of Fibonacci functions using the concept of f-even and f-odd functions. Moreover, we show that if f is a Fibonacci function then limx→∞ f(x+1)/f(x) = 1+√5/2 . | en_US |
| dc.description.uri | https://doi.org/10.1186/1687-1847-2012-126 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/2.0 | |
| dc.subject | Fibonacci function | en_US |
| dc.subject | f-even (f-odd) function | en_US |
| dc.subject | Golden ratio | en_US |
| dc.title | On Fibonacci Functions with Fibonacci Numbers | en_US |
| dc.type | text |
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