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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=-3/8





http://functions.wolfram.com/07.23.03.b4zv.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(3/8), 3/2, -z] == -((1/(9625077 Sqrt[z] (1 + z)^(1/8))) (4 (4 Sqrt[z] (-628795 + 1136870 z + 642376 z^2 + 392738 z^3 + 171483 z^4 + 45248 z^5 + 5376 z^6) Cos[ArcTan[Sqrt[z]]/4] - (-435643 + 5420868 z + 545342 z^2 + 346612 z^3 + 158309 z^4 + 43568 z^5 + 5376 z^6) 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