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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=-10/3





http://functions.wolfram.com/07.23.03.5645.01









  


  








Input Form





Hypergeometric2F1[-(11/3), -(10/3), 5/2, z] == (1/(434113615 z^(3/2))) (27 (-((1/Sqrt[1 - z]) (Sqrt[z] (-32768 - 14430173 z - 44104211 z^2 + 18356336 z^3 + 36036032 z^4 + 4174784 z^5) Cos[ArcSin[Sqrt[z]]/3])) + 3 (-32768 + 1638400 z + 27835957 z^2 + 59635448 z^3 + 26496032 z^4 + 1875392 z^5) 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