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Exploration of Fibonacci Function

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Abstract:

In this paper, I define Fibonacci function (probably unknown) on Real number field, for all x∈R, F:R → R,э F (x+n) = nF(x+1)+n-1F(x). Also, I defined the limit value of Fibonacci function, which is closed to 1.618… where x tends to infinity. Including, Fibonacci sum as well.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 1)
Pages:
57-62
DOI:
10.18052/www.scipress.com/BMSA.1.57
Citation:
K. R. R. Gandhi "Exploration of Fibonacci Function", Bulletin of Mathematical Sciences and Applications, Vol. 1, pp. 57-62, 2012
Online since:
Aug 2012
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