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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=-1/3





http://functions.wolfram.com/07.23.03.5719.01









  


  








Input Form





Hypergeometric2F1[-(11/3), -(1/3), 7/2, z] == (1/(168568855 z^(5/2))) (81 (-((1/Sqrt[1 - z]) (Sqrt[z] (4608 - 55296 z - 1554407 z^2 + 1434245 z^3 + 205530 z^4 - 38488 z^5 + 3808 z^6) Cos[ArcSin[Sqrt[z]]/3])) - (-13824 + 161792 z - 1533952 z^2 - 4142413 z^3 + 187714 z^4 - 36584 z^5 + 3808 z^6) 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