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Power






Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Summation > Finite summation > Summed truncated generalized hypergeometric series > Case 3F2





http://functions.wolfram.com/01.02.23.0035.01









  


  










Input Form





Sum[(2^(2 k) k!^2 z^k)/((2 k + 1)! (k + 1)), {k, 0, n}] == ArcSin[Sqrt[z]]^2/z - (1/2) Sqrt[Pi] z^(1 + n) Gamma[2 + n]^2 HypergeometricPFQRegularized[{1, 2 + n, 2 + n}, {5/2 + n, 3 + n}, z] /; Element[n, Integers] && n >= 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)





2007-05-02