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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,3,z] > Representations through more general functions > Through hypergeometric functions > Involving 2F~1





http://functions.wolfram.com/07.12.26.0082.01









  


  










Input Form





LegendreQ[\[Nu], \[Mu], 3, z] == 2^\[Nu] E^(I Pi \[Mu]) Gamma[1 + \[Mu] + \[Nu]] Gamma[1 + \[Nu]] (z - 1)^(-1 - \[Nu]) ((z + 1)/(z - 1))^(\[Mu]/2) Hypergeometric2F1Regularized[1 + \[Nu], 1 + \[Mu] + \[Nu], 2 (1 + \[Nu]), 2/(1 - z)] /; !IntervalMemberQ[Interval[{-1, 1}], 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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