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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=n, c=1/2+p





http://functions.wolfram.com/07.23.03.0674.01









  


  








Input Form





Hypergeometric2F1[1, n, 5/2, z] == (1/z) ((Pi Pochhammer[-(3/2), n] (1 - z)^(3/2 - n))/((n - 1)! z^(1/2)) - 3/(2 (n - 1)) - (((1 - z)^(1 - n) Pochhammer[-(3/2), n])/(n - 1)!) (((2 Sqrt[1 - z])/Sqrt[z]) ArcSin[Sqrt[1 - z]] - Sum[((j - 1)! (1 - z)^j)/Pochhammer[1/2, j], {j, 1, n - 2}])) /; Element[n - 1, Integers] && n - 1 > 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