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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Specialized values > For fixed z and with symbolical integers in parameters > For fixed z and a=1/2+m, b=n, c=1/2+p





http://functions.wolfram.com/07.23.03.0685.01









  


  








Input Form





Hypergeometric2F1[3/2, 2, n + 3/2, z] == (((1 + 2 n) Pochhammer[1/2, n] z^(-1 - n) (-1 + z)^(-2 + n))/(n - 1)!) ((-z + (-1 + 2 n - z) Sqrt[z] ArcTanh[Sqrt[z]]) - Sum[(((k - 1)! (k - n + z))/Pochhammer[1/2, k]) (z/(z - 1))^k, {k, 1, n - 1}]) /; 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