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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=2/3





http://functions.wolfram.com/07.23.03.7020.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 2/3, -(11/2), -z] == (1/(1515591 (1 + z)^(11/2))) ((1515591 + 8297478 z + 18503289 z^2 + 21192320 z^3 + 12670449 z^4 + 3258510 z^5 - 124729 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (505197 + 2410317 z + 4510422 z^2 + 4056370 z^3 + 1637033 z^4 + 124729 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