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





http://functions.wolfram.com/07.23.03.0689.01









  


  








Input Form





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