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variants of this functions
Fibonacci




Mathematica Notation

Traditional Notation









Integer Functions > Fibonacci[nu] > Representations through more general functions > Through hypergeometric functions > Involving 2F1





http://functions.wolfram.com/04.11.26.0014.01









  


  








Input Form





Fibonacci[n] == (2/Sqrt[5]) (n/2)^(-2 Floor[(n - 1)/2] + n - 1) HypergeometricPFQ[{-(1/2) - Floor[(n - 1)/2], 1/2 + Floor[n/2]}, {1 + (-1)^n/2}, -(1/4)] /; Element[n, Integers]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29