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variants of this functions
Fibonacci






Mathematica Notation

Traditional Notation









Polynomials > Fibonacci[n,z] > Series representations > Generalized power series > Expansions at generic point z==z0 > For the function itself





http://functions.wolfram.com/05.12.06.0020.01









  


  










Input Form





Fibonacci[n, z] == Sqrt[Pi] Sum[(1/k!) (2^(k - 2) Subscript[z, 0]^(1 - k) n Cos[(Pi n)/2]^2 HypergeometricPFQRegularized[{1, 1 - n/2, 1 + n/2}, {1 - k/2, (3 - k)/2}, -(Subscript[z, 0]^2/4)] + (2^k Sin[(Pi n)/2]^2 HypergeometricPFQRegularized[ {1, (1 - n)/2, (1 + n)/2}, {(1 - k)/2, 1 - k/2}, -(Subscript[z, 0]^2/4)])/Subscript[z, 0]^k) (z - Subscript[z, 0])^k, {k, 0, n}]










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)





2007-05-02





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