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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/07.10.13.0007.01









  


  










Input Form





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