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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=15/8





http://functions.wolfram.com/07.23.03.b58m.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 15/8, -(11/2), -z] == (1/(946176 (1 + z)^(3/2))) (Sqrt[1 + z] (946176 - 919296 z + 1016736 z^2 - 1221275 z^3 + 1635744 z^4 - 2695264 z^5 + 8614144 z^6 + 16612992 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 4 Sqrt[z] (59136 - 38976 z + 37737 z^2 - 44264 z^3 + 62414 z^4 - 116204 z^5 + 4230160 z^6 + 4153248 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