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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=-1/3





http://functions.wolfram.com/07.23.03.7003.01









  


  










Input Form





Hypergeometric2F1[-(2/3), -(1/3), -(3/2), z] == (1/27) (((27 - 19 z) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + 9 Sqrt[z] 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