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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=-17/8





http://functions.wolfram.com/07.23.03.b4uj.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(17/8), -(11/2), z] == (1/(1576960 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-1576960 + 3628800 z - 2276960 z^2 + 140675 z^3 + 30549 z^4 + 13328 z^5 + 10472 z^6) Cos[ArcSin[Sqrt[z]]/4] - 4 Sqrt[z] (-98560 + 257600 z - 200095 z^2 + 30770 z^3 + 5644 z^4 + 2023 z^5 + 2618 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