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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=7/8





http://functions.wolfram.com/07.23.03.b544.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 7/8, -(11/2), -z] == (1/(135168 Sqrt[1 + z])) (Sqrt[1 + z] (135168 - 122112 z + 122976 z^2 - 130097 z^3 + 144936 z^4 - 177232 z^5 + 307648 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-33792 + 19968 z - 16716 z^2 + 16247 z^3 - 17864 z^4 + 23408 z^5 - 307648 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