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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=-1/8





http://functions.wolfram.com/07.23.03.bf0g.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(1/8), 1/2, -z] == (1/(5643 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-5643 + 6850 z + 5885 z^2 + 2968 z^3 + 616 z^4) Cosh[ArcSinh[Sqrt[z]]/4] + 4 Sqrt[z] (1207 + 2365 z + 1823 z^2 + 819 z^3 + 154 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