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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/07.23.03.7078.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 5/3, 5/2, -z] == (1/(91 z^(3/2))) (27 (Sqrt[z/(1 + z)] (1 + 3 z + 2 z^2) Cosh[ArcSinh[Sqrt[z]]/3] + (-3 + 2 z + 2 z^2) 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