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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 Meijer G > Classical cases involving unit step theta





http://functions.wolfram.com/07.12.26.0024.01









  


  








Input Form





UnitStep[Abs[z] - 1] (z - 1)^(\[Nu]/2) LegendreQ[\[Nu], \[Mu], 3, Sqrt[z/(z - 1)]] == ((E^(Pi I \[Mu]) Sqrt[Pi] Gamma[1 + \[Mu] + \[Nu]])/ 2^(\[Nu] + 1)) MeijerG[{{1 + (\[Nu] - \[Mu])/2, 1 + (\[Nu] + \[Mu])/2}, {}}, {{}, {0, 1/2}}, 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)





2001-10-29