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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=-11/3, b>=a > For fixed z and a=-11/3, b=-1/3





http://functions.wolfram.com/07.23.03.5702.01









  


  










Input Form





Hypergeometric2F1[-(11/3), -(1/3), -(11/2), -z] == (1/(137781 (1 + z)^(3/2))) ((137781 + 244944 z + 102249 z^2 - 2474 z^3 + 680 z^4 - 224 z^5) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (45927 + 49329 z + 2898 z^2 - 792 z^3 + 224 z^4) Sinh[ArcSinh[Sqrt[z]]/3])










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