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variants of this functions
Fibonacci




Mathematica Notation

Traditional Notation









Polynomials > Fibonacci[n,z] > Series representations > Generalized power series > Expansions at z==0





http://functions.wolfram.com/05.12.06.0003.01









  


  








Input Form





Fibonacci[n, z] == Sin[(Pi n)/2]^2 HypergeometricPFQ[{(1 - n)/2, (1 + n)/2}, {1/2}, -(z^2/4)] + ((z n)/2) Cos[(Pi n)/2]^2 HypergeometricPFQ[{1 - n/2, 1 + n/2}, {3/2}, -(z^2/4)]








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