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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Polynomials > LegendreP[n,z] > Representations through more general functions > Through hypergeometric functions > Involving 2F~1





http://functions.wolfram.com/05.03.26.0032.01









  


  










Input Form





LegendreP[n, z] == Pi ((-(z/(Gamma[-(n/2)] Gamma[(1 + n)/2]))) Hypergeometric2F1Regularized[(1 - n)/2, (2 + n)/2, 3/2, z^2] + (1/(Gamma[(1 - n)/2] Gamma[(2 + n)/2])) Hypergeometric2F1Regularized[ (1 + n)/2, -(n/2), 1/2, z^2])










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)





2007-05-02





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