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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=-8/3, b>=a > For fixed z and a=-8/3, b=-4/3





http://functions.wolfram.com/07.23.03.6166.01









  


  








Input Form





Hypergeometric2F1[-(8/3), -(4/3), 9/2, -z] == (243 (Sqrt[z] (-276480 - 3393536 z - 22884352 z^2 + 548587075 z^3 + 269010391 z^4 - 297348316 z^5 + 1995664 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (829440 + 9934848 z + 65818624 z^2 + 517267456 z^3 - 1706384577 z^4 + 494919052 z^5 + 1995664 z^6) Sinh[ArcSinh[Sqrt[z]]/3]))/(176684241305 z^(7/2) Sqrt[1 + z])








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