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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 > Classical cases for powers of Legendre P





http://functions.wolfram.com/07.09.26.0030.01









  


  










Input Form





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