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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/07.14.13.0007.01









  


  








Input Form





Derivative[2][w][z] + ((-1 + r + 2 s - a^2 z^(2 r) (-1 + 2 s - 2 r \[Lambda]))/ (z (-1 + a^2 z^(2 r)))) Derivative[1][w][z] + (((-s) (r + s) + a^2 z^(2 r) (s + r \[Nu]) (s - r (2 \[Lambda] + \[Nu])))/ (z^2 (-1 + a^2 z^(2 r)))) w[z] == 0 /; w[z] == Subscript[c, 1] z^s GegenbauerC[\[Nu], \[Lambda], a z^r] + Subscript[c, 2] z^s (1 - a^2 z^(2 r))^((1 - 2 \[Lambda])/4) LegendreQ[\[Nu] + \[Lambda] - 1/2, 1/2 - \[Lambda], 2, a z^r]








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