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variants of this functions
Factorial






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Factorial[n] > Summation > Infinite summation > Parameter-containing sums





http://functions.wolfram.com/06.01.23.0048.01









  


  










Input Form





Sum[(2 k + 2 n)!/((-4)^k (k + n)!^2 z^k), {k, 0, Infinity}] == Sum[(4^(1 + j) (-z)^j z (-2 + 2 n - 2 j)!)/(n - j - 1)!^2, {j, 0, n - 1}] + (-4 z)^n Sqrt[z/(z + 1)] /; Element[n, Integers] && n > 0










Standard Form





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MathML Form







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Rule Form





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Contributed by





Troy Kessler










Date Added to functions.wolfram.com (modification date)





2007-05-02





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