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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=7/8





http://functions.wolfram.com/07.23.03.b54g.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 7/8, -(3/2), -z] == (1/(432 Sqrt[1 + z])) (Sqrt[1 + z] (432 - 1467 z + 13482 z^2 + 112861 z^3 + 226520 z^4 + 180880 z^5 + 51520 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (108 - 333 z + 50890 z^2 + 206731 z^3 + 310520 z^4 + 206640 z^5 + 51520 z^6) 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