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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=4/3, b>=a > For fixed z and a=4/3, b=17/3





http://functions.wolfram.com/07.23.03.8044.01









  


  








Input Form





Hypergeometric2F1[4/3, 17/3, 3/2, z] == -((3 (Sqrt[z] (7921 - 2552 z + 1800 z^2 - 736 z^3 + 128 z^4) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (-1235 - 1888 z + 1480 z^2 - 672 z^3 + 128 z^4) Sin[ArcSin[Sqrt[z]]/3]))/ (22528 (-1 + z)^5 Sqrt[(-(-1 + z)) 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