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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreP[nu,mu,2,z] > Representations through more general functions > Through Meijer G > Classical cases involving sgn





http://functions.wolfram.com/07.08.26.0024.01









  


  










Input Form





(((1 - z) Sign[1 - Abs[z]])^\[Mu]/Sqrt[1 + z]) LegendreP[-(1/4), \[Mu], 2, -((1 - 6 z + z^2)/(1 + z)^2)] == ((2^(-(1/2) - \[Mu]) Gamma[1/2 + \[Mu]] Cos[Pi \[Mu]])/ (Pi^2 Gamma[1/2 - 2 \[Mu]])) MeijerG[{{(\[Mu] + 1)/2, (3 \[Mu] + 1)/2}, {}}, {{-(\[Mu]/2), \[Mu]/2}, {}}, z] /; !IntervalMemberQ[Interval[{-Infinity, -1}], 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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