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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/07.23.03.6645.01









  


  










Input Form





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