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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=-1/8





http://functions.wolfram.com/07.23.03.b518.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(1/8), 5/2, -z] == (1/(405628245 z^(3/2) Sqrt[1 + z])) (16 ((-Sqrt[z]) Sqrt[1 + z] (-33511 - 26149746 z + 9978318 z^2 + 5909472 z^3 + 3263873 z^4 + 1282314 z^5 + 307120 z^6 + 33440 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + 2 (-67022 - 1642039 z + 2386263 z^2 + 6297066 z^3 + 3699504 z^4 + 1934365 z^5 + 715847 z^6 + 161920 z^7 + 16720 z^8) 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