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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=-47/8, b>=a > For fixed z and a=-47/8, b=-25/8





http://functions.wolfram.com/07.23.03.b4s3.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(25/8), -(3/2), -z] == (1/(30096 Sqrt[1 + z])) (Sqrt[1 + z] (30096 + 369303 z + 3827208 z^2 - 11987158 z^3 + 1048900 z^4 + 135575 z^5 + 11900 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (7524 + 94677 z - 3065464 z^2 - 2167042 z^3 + 1115200 z^4 + 141525 z^5 + 11900 z^6) 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