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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 3 and fixed z > For fixed z and a=-2/3, b>=a > For fixed z and a=-2/3, b=2/3





http://functions.wolfram.com/07.23.03.7042.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 2/3, 11/2, -z] == (6561 (Sqrt[z] (-2268 - 13632 z - 34516 z^2 - 48216 z^3 - 20763 z^4 + 4301 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (6804 + 38880 z + 92924 z^2 + 121704 z^3 + 111084 z^4 + 4301 z^5) Sinh[ArcSinh[Sqrt[z]]/3]))/(164663785 z^(9/2) Sqrt[1 + z])








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