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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,3,z] > Representations through equivalent functions > With related functions





http://functions.wolfram.com/07.12.27.0012.01









  


  










Input Form





LegendreQ[\[Nu], \[Mu], 3, z] == (-(Pi/2)) Csc[Pi \[Mu]]^2 E^(Pi I \[Mu]) ((Sin[Pi \[Nu]] ((1 - z)^(\[Mu]/2)/(z - 1)^(\[Mu]/2)) + Sin[Pi (\[Mu] - \[Nu])] ((z - 1)^(\[Mu]/2)/(1 - z)^(\[Mu]/2))) LegendreP[\[Nu], \[Mu], 2, -z] + (Pi/(Gamma[-\[Mu] - \[Nu]] Gamma[1 - \[Mu] + \[Nu]])) ((1 - z)^(\[Mu]/2)/(z - 1)^(\[Mu]/2) - Csc[Pi (\[Mu] + \[Nu])] Sin[Pi \[Nu]] ((z - 1)^(\[Mu]/2)/(1 - z)^(\[Mu]/2))) LegendreP[\[Nu], -\[Mu], 2, -z]) /; !Element[\[Mu], Integers]










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)





2002-12-18