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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a>0 > For fixed z and a=1/8, b>=a > For fixed z and a=1/8, b=39/8





http://functions.wolfram.com/07.23.03.by28.01









  


  










Input Form





Hypergeometric2F1[1/8, 39/8, 3/2, -z] == (1/24955) (4 (((6709 + 19257 z + 18788 z^2 + 6160 z^3) Cosh[ArcSinh[Sqrt[z]]/4])/(1 + z)^3 - ((1881 + 14374 z + 27881 z^2 + 21868 z^3 + 6160 z^4) Sinh[ArcSinh[Sqrt[z]]/4])/(Sqrt[z] (1 + z)^(7/2))))










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