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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=-4/3





http://functions.wolfram.com/07.23.03.6161.01









  


  








Input Form





Hypergeometric2F1[-(8/3), -(4/3), 5/2, z] == (1/(8083075 z^(3/2))) (27 (-((Sqrt[z] (-2048 - 250297 z + 4533 z^2 + 244820 z^3 + 2992 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z]) - (6144 - 145408 z - 934035 z^2 - 445284 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