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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 unit step theta





http://functions.wolfram.com/05.07.26.0014.01









  


  








Input Form





(UnitStep[1 - Abs[z]] LegendreP[n, \[Mu], 2, Sqrt[z]])/(1 - z)^(\[Mu]/2) == 2^\[Mu] MeijerG[{{}, {1 + (n - \[Mu])/2, (1 - n - \[Mu])/2}}, {{0, 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