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variants of this functions
Fibonacci






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Fibonacci[nu,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/07.06.20.0006.02









  


  










Input Form





D[Fibonacci[\[Nu], z], {z, m}] == 2^(m - 2) Sqrt[Pi] z^(1 - m) \[Nu] Cos[(Pi \[Nu])/2]^2 HypergeometricPFQRegularized[ {1, 1 - \[Nu]/2, 1 + \[Nu]/2}, {1 - m/2, (3 - m)/2}, -(z^2/4)] + (2^m Sqrt[Pi] Sin[(Pi \[Nu])/2]^2 HypergeometricPFQRegularized[ {1, (1 - \[Nu])/2, (1 + \[Nu])/2}, {(1 - m)/2, 1 - m/2}, -(z^2/4)])/ z^m /; Element[m, Integers] && m >= 0










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





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