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:

https://doi.org/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:

August 2012

Authors:

K. Raja Rama Gandhi

Keywords:

Fibonacci Function, Golden Ratio

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Distribution:

Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

http: /www. mathsisfun. com/numbers/golden-ratio. html.

http: /en. wikipedia. org/wiki/Fibonacci_number.

http: /mathworld. wolfram. com/FibonacciNumber. html.

http: /sajm. com. nu/sajm2011_1_3_8gandhi. pdf.

http: /ulcar. uml. edu/~iag/CS/Fibonacci. html.

http: /www. artofproblemsolving. com/Forum/viewtopic. php?f=36&p=2084357#p.2084357.

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Cited By:

[1] K. Sharma, "On the extension of generalized Fibonacci function", International Journal of ADVANCED AND APPLIED SCIENCES, Vol. 5, p. 58, 2018

DOI: https://doi.org/10.21833/ijaas.2018.07.008