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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=-9/8





http://functions.wolfram.com/07.23.03.b4xl.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(9/8), -(9/2), -z] == (1/(35840 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-35840 - 53760 z - 5860 z^2 + 2273 z^3 - 1911 z^4 + 4004 z^5 + 6160 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-8960 - 16240 z - 4475 z^2 + 1202 z^3 - 679 z^4 + 7084 z^5 + 6160 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