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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=-17/3, b>=a > For fixed z and a=-17/3, b=2/3





http://functions.wolfram.com/07.23.03.4704.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 2/3, 11/2, -z] == (6561 (Sqrt[z] (-1161216 - 13338624 z - 71559168 z^2 - 245463040 z^3 + 265058453 z^4 + 762300477 z^5 + 474108016 z^6 + 221081704 z^7 + 70649376 z^8 + 13739648 z^9 + 1224704 z^10) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (3483648 + 38983680 z + 203585536 z^2 + 680929280 z^3 + 2035855360 z^4 + 589529721 z^5 + 386101920 z^6 + 190526664 z^7 + 64238816 z^8 + 13127296 z^9 + 1224704 z^10) Sinh[ArcSinh[Sqrt[z]]/3]))/ (6580323234485 z^(9/2) 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