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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/05.07.21.0005.01









  


  










Input Form





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