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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 nu





http://functions.wolfram.com/07.13.13.0009.01









  


  










Input Form





Derivative[2][w][\[Nu]] - ((2 Derivative[1][h][\[Nu]])/h[\[Nu]] - (2 Derivative[1][g][\[Nu]])/g[\[Nu]] + Derivative[2][g][\[Nu]]/ Derivative[1][g][\[Nu]]) Derivative[1][w][\[Nu]] + (ArcCos[z]^2 Derivative[1][g][\[Nu]]^2 - (2 Derivative[1][g][\[Nu]] Derivative[1][h][\[Nu]])/ (g[\[Nu]] h[\[Nu]]) + (2 Derivative[1][h][\[Nu]]^2)/h[\[Nu]]^2 + (Derivative[1][h][\[Nu]] Derivative[2][g][\[Nu]])/ (h[\[Nu]] Derivative[1][g][\[Nu]]) - Derivative[2][h][\[Nu]]/h[\[Nu]]) w[\[Nu]] == 0 /; w[\[Nu]] == Subscript[c, 1] h[\[Nu]] GegenbauerC[g[\[Nu]], z] + Subscript[c, 2] (h[\[Nu]]/g[\[Nu]]) ChebyshevU[g[\[Nu]], z]










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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