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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 > Generalized cases involving products of Legendre Q





http://functions.wolfram.com/07.12.26.0065.01









  


  








Input Form





LegendreQ[\[Nu], \[Mu], 3, Sqrt[z^2 + 1]] LegendreQ[\[Mu] - 1/2, \[Nu] + 1/2, 3, Sqrt[1/z^2 + 1]] == ((E^(Pi I (\[Mu] + \[Nu] + 1/2)) Gamma[1 + \[Mu] + \[Nu]])/(2 Sqrt[2])) MeijerG[{{3/4, 1/4 - \[Nu]}, {5/4 + \[Nu]}}, {{1/4, 1/4 + \[Mu]}, {1/4 - \[Mu]}}, 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