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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, b=1/2+n, c=1/2+p





http://functions.wolfram.com/07.23.03.0687.01









  


  








Input Form





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