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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=-11/8





http://functions.wolfram.com/07.23.03.b4wl.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(11/8), -(1/2), -z] == (1/(684 (1 + z)^(1/8))) ((-(-684 - 11115 z + 25999 z^2 + 13167 z^3 + 6353 z^4 + 1904 z^5 + 256 z^6)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (171 + 29953 z + 2873 z^2 + 1451 z^3 + 456 z^4 + 64 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