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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/07.23.03.7037.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 2/3, 7/2, z] == (1/(19019 z^(5/2))) (81 (-((Sqrt[z] (36 - 152 z + 61 z^2 + 55 z^3) Cos[ArcSin[Sqrt[z]]/3])/ Sqrt[1 - z]) - (-108 + 424 z - 776 z^2 + 55 z^3) 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