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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=-25/8





http://functions.wolfram.com/07.23.03.b4s9.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(25/8), 3/2, -z] == (1/16419249) (4 ((4146701 - 52055507 z + 111892238 z^2 - 49617798 z^3 + 1523225 z^4 + 87145 z^5 + 4060 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((167555 - 6628966 z + 20080177 z^2 + 7329496 z^3 - 18066027 z^4 + 1566290 z^5 + 89175 z^6 + 4060 z^7) Sinh[ArcSinh[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