Exploration of Fibonacci Function

Gandhi, K. Raja Rama

doi:10.18052/www.scipress.com/BMSA.1.57

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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

Authors:

K. Raja Rama Gandhi

Keywords:

Fibonacci Function, Golden Ratio

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Open Access

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