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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.10.13.0005.01









  


  










Input Form





h[z]^2 Derivative[1][g][z] Derivative[2][w][z] - (2 h[z] Derivative[1][g][z] Derivative[1][h][z] + h[z]^2 ((2 g[z] Derivative[1][g][z]^2)/(1 - g[z]^2) + Derivative[2][g][z])) Derivative[1][w][z] + ((\[Nu] (1 + \[Nu]) h[z]^2 Derivative[1][g][z]^3)/(1 - g[z]^2) + 2 Derivative[1][g][z] Derivative[1][h][z]^2 + h[z] (Derivative[1][h][z] ((2 g[z] Derivative[1][g][z]^2)/(1 - g[z]^2) + Derivative[2][g][z]) - Derivative[1][g][z] Derivative[2][h][z])) w[z] == 0 /; w[z] == Subscript[c, 1] h[z] LegendreP[\[Nu], g[z]] + Subscript[c, 2] h[z] LegendreQ[\[Nu], g[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