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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=-25/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), -(25/8), 3/2, -z] == (1/4963959) (4 ((1256141 - 10462572 z + 13410798 z^2 - 2953388 z^3 + 32045 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((60605 - 1579871 z + 2250402 z^2 + 2486146 z^3 - 1372687 z^4 + 32045 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