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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=45/8





http://functions.wolfram.com/07.23.03.b5ri.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 45/8, 3/2, -z] == (1/(18409461 Sqrt[z] (1 + z)^(1/8))) (4 (2 Sqrt[z] (2322127 + 52277668 z + 346865120 z^2 + 1009651712 z^3 + 1454866432 z^4 + 1021050880 z^5 + 278921216 z^6) Cos[ArcTan[Sqrt[z]]/4] - (167555 + 9813789 z + 96073136 z^2 + 351907584 z^3 + 592953344 z^4 + 466944000 z^5 + 139460608 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