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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=31/8





http://functions.wolfram.com/07.23.03.b5il.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 31/8, -(1/2), z] == (1/4) (2 (2 + 91 z - 2315 z^2 + 12384 z^3 - 26032 z^4 + 23808 z^5 - 7936 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (Sqrt[z] (-1 - 1229 z + 12862 z^2 - 45840 z^3 + 73888 z^4 - 55552 z^5 + 15872 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