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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 products of Legendre Q





http://functions.wolfram.com/07.12.26.0036.01









  


  










Input Form





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





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