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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Polynomials > LegendreP[n,z] > Summation > Infinite summation





http://functions.wolfram.com/05.03.23.0012.01









  


  










Input Form





Sum[((Pochhammer[a, k] Pochhammer[1 - a, k])/k!^2) LegendreP[k, z] t^k, {k, 0, Infinity}] == Hypergeometric2F1[a, 1 - a, 1, (1/2) (1 - t - Sqrt[1 - 2 z t + t^2])] Hypergeometric2F1[a, 1 - a, 1, (1/2) (1 + t - Sqrt[1 - 2 z t + t^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)





2002-12-18





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