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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=2/3





http://functions.wolfram.com/07.23.03.6212.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 2/3, 7/2, -z] == (1/(2947945 z^(5/2) Sqrt[1 + z])) (81 (Sqrt[z] (-1152 - 7680 z + 8729 z^2 + 21813 z^3 + 7788 z^4 + 1232 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (3456 + 22016 z + 76928 z^2 + 18381 z^3 + 7172 z^4 + 1232 z^5) 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