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variants of this functions
Fibonacci






Mathematica Notation

Traditional Notation









Polynomials > Fibonacci[n,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/05.12.13.0003.01









  


  










Input Form





Derivative[2][w][z] + ((3 g[z] Derivative[1][g][z])/(4 + g[z]^2) - Derivative[2][g][z]/Derivative[1][g][z]) Derivative[1][w][z] + (((1 - n^2) Derivative[1][g][z]^2)/(4 + g[z]^2)) w[z] == 0 /; w[z] == Subscript[c, 1] Fibonacci[n, g[z]] + Subscript[c, 2] (1/(4 + g[z]^2)^(1/4)) LegendreP[-(1/2) + n, 1/2, 2, (I g[z])/2]










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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