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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/07.23.03.0691.01









  


  










Input Form





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