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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.13.13.0021.01









  


  










Input Form





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





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