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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=-8/3, b>=a > For fixed z and a=-8/3, b=-7/3





http://functions.wolfram.com/07.23.03.6122.01









  


  








Input Form





Hypergeometric2F1[-(8/3), -(7/3), -(11/2), -z] == (1/(216513 Sqrt[1 + z])) ((216513 + 365229 z + 171612 z^2 + 18800 z^3) Cosh[ArcSinh[Sqrt[z]]/3] - 9 Sqrt[z] Sqrt[1 + z] (8019 + 7884 z + 1424 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