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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=-5/3, b>=a > For fixed z and a=-5/3, b=2/3





http://functions.wolfram.com/07.23.03.6644.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 2/3, 9/2, z] == (1/(7159295 z^(7/2))) (243 ((1/Sqrt[1 - z]) (Sqrt[z] (1080 - 6704 z + 18184 z^2 - 3771 z^3 - 10285 z^4 + 1496 z^5) Cos[ArcSin[Sqrt[z]]/3]) + (-3240 + 19152 z - 49304 z^2 + 87360 z^3 - 9537 z^4 + 1496 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