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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=-27/8





http://functions.wolfram.com/07.23.03.b4qj.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(27/8), -(9/2), -z] == (1/(35840 (1 + z)^(1/8))) ((35840 + 161280 z + 274660 z^2 + 204913 z^3 + 43890 z^4 - 15675 z^5 - 10032 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (8960 + 37520 z + 57675 z^2 + 35902 z^3 + 3135 z^4 + 2508 z^5) Sin[ArcTan[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