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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=-11/3, b>=a > For fixed z and a=-11/3, b=5/3





http://functions.wolfram.com/07.23.03.5784.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 5/3, 3/2, z] == (1/8645) (3 (((2647 - 10977 z + 16898 z^2 - 11480 z^3 + 2912 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + ((704 - 5923 z + 12250 z^2 - 10024 z^3 + 2912 z^4) Sin[ArcSin[Sqrt[z]]/3])/Sqrt[z]))








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