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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.b50r.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(1/8), -(7/2), z] == (1/8960) ((-(-8960 + 2160 z + 1637 z^2 + 2569 z^3 + 10626 z^4 - 37520 z^5 + 21280 z^6)) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (2 Sqrt[z] (-1120 + 620 z + 269 z^2 + 308 z^3 + 13363 z^4 - 24080 z^5 + 10640 z^6) Sin[ArcSin[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