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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=8/3





http://functions.wolfram.com/07.23.03.6303.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 8/3, 11/2, z] == (1/(670025785 z^(9/2))) (6561 (-((1/Sqrt[1 - z]) (Sqrt[z] (9072 - 37248 z + 45776 z^2 - 1760 z^3 - 90761 z^4 + 136213 z^5 - 77308 z^6 + 16016 z^7) Cos[ArcSin[Sqrt[z]]/3])) - (-27216 + 103680 z - 110192 z^2 - 15840 z^3 - 46640 z^4 + 103565 z^5 - 69300 z^6 + 16016 z^7) Sin[ArcSin[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