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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=31/8





http://functions.wolfram.com/07.23.03.bfj4.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 31/8, -(1/2), -z] == (-(-1 + 30 z + 460 z^2 + 1232 z^3 + 864 z^4)) Cosh[ArcSinh[Sqrt[z]]/4] + (1/4) Sqrt[z/(1 + z)] (-1 + 640 z + 3872 z^2 + 6656 z^3 + 3456 z^4) 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