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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=-31/8, b>=a > For fixed z and a=-31/8, b=47/8





http://functions.wolfram.com/07.23.03.bfu4.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 47/8, 1/2, -z] == (1/(39 (1 + z)^(3/2))) (Sqrt[1 + z] (39 + 1910 z + 14960 z^2 + 40992 z^3 + 45824 z^4 + 17920 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (193 + 3215 z + 15424 z^2 + 30832 z^3 + 27392 z^4 + 8960 z^5) Sinh[ArcSinh[Sqrt[z]]/4])








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