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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=-2/3, b>=a > For fixed z and a=-2/3, b=-1/3





http://functions.wolfram.com/07.23.03.7016.01









  


  








Input Form





Hypergeometric2F1[-(2/3), -(1/3), 9/2, -z] == (1/(5311735 z^(7/2) Sqrt[1 + z])) (243 (Sqrt[z] (-216 - 1456 z - 4584 z^2 + 9645 z^3 + 12989 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + 9 Sqrt[1 + z] (72 + 464 z + 1400 z^2 + 3712 z^3 - 2399 z^4) 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