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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=5/3





http://functions.wolfram.com/07.23.03.6252.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 5/3, 3/2, -z] == (1/1729) (3 (((523 + 1615 z + 1652 z^2 + 560 z^3) Cosh[ArcSinh[Sqrt[z]]/3])/ Sqrt[1 + z] + ((160 + 999 z + 1372 z^2 + 560 z^3) Sinh[ArcSinh[Sqrt[z]]/3])/Sqrt[z]))








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