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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=4/3, b>=a > For fixed z and a=4/3, b=17/3





http://functions.wolfram.com/07.23.03.8039.01









  


  








Input Form





Hypergeometric2F1[4/3, 17/3, -(3/2), -z] == (1/(55296 (1 + z)^(17/2))) ((-(-55296 - 751616 z - 8503296 z^2 + 28095193 z^3 + 1781328 z^4 + 520200 z^5 + 108256 z^6 + 10880 z^7)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (18432 + 237568 z - 10115211 z^2 + 1558424 z^3 + 470152 z^4 + 102816 z^5 + 10880 z^6) 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