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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/05.12.13.0009.01









  


  








Input Form





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