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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=8/3





http://functions.wolfram.com/07.23.03.5831.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 8/3, 5/2, z] == (1/(1339975 z^(3/2))) (27 ((1/Sqrt[1 - z]) (Sqrt[z] (-352 + 45509 z - 181825 z^2 + 274988 z^3 - 184912 z^4 + 46592 z^5) Cos[ArcSin[Sqrt[z]]/3]) + (1056 + 12672 z - 99113 z^2 + 200004 z^3 - 161616 z^4 + 46592 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