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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/07.23.03.6147.01









  


  








Input Form





Hypergeometric2F1[-(8/3), -(4/3), -(9/2), z] == (1/45927) (((45927 - 61803 z + 17748 z^2 + 176 z^3) Cos[ArcSin[Sqrt[z]]/3])/ Sqrt[1 - z] + Sqrt[z] (15309 - 9828 z + 176 z^2) 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