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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=-33/8





http://functions.wolfram.com/07.23.03.b4p9.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(33/8), -(9/2), -z] == (1/(21504 Sqrt[1 + z])) (2 Sqrt[1 + z] (10752 + 58240 z + 127718 z^2 + 141761 z^3 + 77893 z^4 + 8415 z^5 + 2805 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (5376 + 30800 z + 72245 z^2 + 87385 z^3 + 54589 z^4 + 19635 z^5 + 5610 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