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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=8/3





http://functions.wolfram.com/07.23.03.7114.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 8/3, -(1/2), -z] == (1/(30 (1 + z)^(5/2))) ((-(-30 + 30 z + 61 z^2 + 28 z^3)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (10 + 47 z + 28 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