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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=-7/3





http://functions.wolfram.com/07.23.03.5655.01









  


  








Input Form





Hypergeometric2F1[-(11/3), -(7/3), -(9/2), z] == (1/6561) (((6561 - 16119 z + 12510 z^2 - 2920 z^3 - 32 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] - Sqrt[z] (-2187 + 3834 z - 1640 z^2 + 32 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