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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=-1/3





http://functions.wolfram.com/07.23.03.6169.01









  


  










Input Form





Hypergeometric2F1[-(8/3), -(1/3), -(11/2), z] == -((1/(1515591 (-1 + z)^2)) ((1/Sqrt[1 - z]) ((-1515591 + 4118121 z - 3620673 z^2 + 992531 z^3 + 15708 z^4 + 2992 z^5) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-505197 + 1017198 z - 529893 z^2 + 17204 z^3 + 2992 z^4) 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