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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=-7/8, b>=a > For fixed z and a=-7/8, b=47/8





http://functions.wolfram.com/07.23.03.bu0r.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 47/8, 9/2, -z] == (1/(4754997 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-16 + 69 z - 264 z^2 + 20368 z^3 + 27968 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - (-64 + 232 z - 861 z^2 + 6424 z^3 + 34352 z^4 + 27968 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