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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Summation > Finite summation > Summed truncated generalized hypergeometric series > Case 2F1





http://functions.wolfram.com/01.02.23.0033.01









  


  








Input Form





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