On Fibonacci functions with Fibonacci numbers

dc.contributor.author	Han, Jeong Soon
dc.contributor.author	Kim, Hee Sik
dc.contributor.author	Neggers, Joseph
dc.contributor.other	Hanyang University
dc.contributor.other	University of Alabama Tuscaloosa
dc.date.accessioned	2021-07-13T14:34:59Z
dc.date.available	2021-07-13T14:34:59Z
dc.date.issued	2012
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 is an element of R, f(x + 2) = f(x + 1) + f(x). We develop the notion of Fibonacci functions using the concept of f f-even and f-odd functions. Moreover, we show that if f is a Fibonacci function then lim(x ->infinity) f(x+1)/f(x) = 1+root 5/2.	en_US
dc.format.mimetype	application/pdf
dc.identifier.citation	Han, J., Kim, H., Neggers, J. (2012): On Fibonacci Functions with Fibonacci Numbers. Advances in Difference Equations. Article Number 126.
dc.identifier.doi	10.1186/1687-1847-2012-126
dc.identifier.uri	http://ir.ua.edu/handle/123456789/7977
dc.language	English
dc.language.iso	en_US
dc.publisher	Springer
dc.rights.uri	https://creativecommons.org/licenses/by/2.0
dc.subject	Fibonacci function
dc.subject	f-even (f-odd) function
dc.subject	Golden ratio
dc.subject	Mathematics, Applied
dc.subject	Mathematics
dc.title	On Fibonacci functions with Fibonacci numbers	en_US
dc.type	text
dc.type	Article