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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.beqg.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(25/8), -(7/2), -z] == (1/(1792 Sqrt[1 + z])) (Sqrt[1 + z] (1792 + 6256 z + 7751 z^2 + 3734 z^3 + 255 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (448 + 1704 z + 2367 z^2 + 1366 z^3 + 255 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