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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Polynomials > LegendreP[n,mu,2,z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/05.07.21.0004.01









  


  










Input Form





Integrate[LegendreP[n, m, x], {x, 0, 1}] == (((-1)^m Pi (m + n)! 2^(-1 - 2 m))/(Gamma[(m + 1)/2] Gamma[(m + 3)/2] (n - m)!)) HypergeometricPFQ[{(1/2) (m + n + 1), (m - n)/2, m/2 + 1}, {m + 1, (m + 3)/2}, 1] /; Element[n, Integers] && n >= 0 && Element[m, Integers] && m >= 0










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)





2002-12-18





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