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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Polynomials > LegendreP[n,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/05.03.13.0003.01









  


  










Input Form





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