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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=-14/3, b>=a > For fixed z and a=-14/3, b=14/3





http://functions.wolfram.com/07.23.03.5417.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 14/3, 1/2, z] == ((1 - 41 z + 280 z^2 - 688 z^3 + 704 z^4 - 256 z^5) Cos[ArcSin[Sqrt[z]]/3])/ Sqrt[1 - z] - Sqrt[z] (9 - 120 z + 432 z^2 - 576 z^3 + 256 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