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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Polynomials > LegendreP[n,mu,2,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions





http://functions.wolfram.com/05.07.26.0011.01









  


  










Input Form





(1 + z)^(n/2) LegendreP[n, \[Mu], 2, Sqrt[z/(z + 1)]] == (2^(-n - 1)/(Sqrt[Pi] Gamma[-\[Mu] - n])) MeijerG[{{1 + (\[Mu] + n)/2}, {1 + (-\[Mu] + n)/2}}, {{0, 1/2}, {}}, z] /; !IntervalMemberQ[Interval[{-Infinity, 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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