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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=5/3





http://functions.wolfram.com/07.23.03.7084.01









  


  










Input Form





Hypergeometric2F1[-(2/3), 5/3, 11/2, -z] == (1/(7159295 z^(9/2) Sqrt[1 + z])) (6561 (Sqrt[z] (567 + 2571 z + 4382 z^2 + 3126 z^3 + 1122 z^4 + 374 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-1701 - 7209 z - 11234 z^2 - 6866 z^3 + 935 z^4 + 374 z^5) 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