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variants of this functions
LegendreP




Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreP[nu,mu,3,z] > Representations through more general functions > Through Meijer G > Generalized cases involving Legendre Q





http://functions.wolfram.com/07.09.26.0071.01









  


  








Input Form





LegendreP[-\[Mu] - 1/2, -\[Nu] - 1/2, 3, Sqrt[z^2 + 1]] LegendreQ[\[Nu], \[Mu], 3, Sqrt[1 + z^2]/z] == (E^(Pi I \[Mu])/(Sqrt[2] Gamma[1 - \[Mu] + \[Nu]])) MeijerG[{{3/4, 3/4 - \[Mu], 3/4 + \[Mu]}, {}}, {{3/4 + \[Nu]}, {-(1/4) - \[Nu], 1/4}}, z, 1/2] /; 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