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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/07.12.26.0026.01









  


  










Input Form





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










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