In this paper, I define Fibonacci function (probably unknown) on Real number field, for all x∈R, F:R → R,э F (x+n) = *∫*_{n}F(x+1)+*∫*_{n-1}F(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.

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:

Keywords:

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.