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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=1/3, b>=a > For fixed z and a=1/3, b=2/3





http://functions.wolfram.com/07.23.03.7401.01









  


  








Input Form





Hypergeometric2F1[1/3, 2/3, 11/2, -z] == (1/(5311735 z^(9/2) Sqrt[1 + z])) (6561 (-3 Sqrt[z] (189 + 929 z + 1826 z^2 + 1810 z^3 + 724 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (1701 + 7857 z + 14330 z^2 + 12946 z^3 + 6473 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