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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=8/3





http://functions.wolfram.com/07.23.03.7485.01









  


  








Input Form





Hypergeometric2F1[1/3, 8/3, 11/2, -z] == (1/(543400 z^(9/2) Sqrt[1 + z])) (6561 (Sqrt[z] (-567 - 1437 z - 1013 z^2 - 55 z^3 + 88 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (1701 + 3807 z + 2135 z^2 - 99 z^3 + 88 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