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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=14/3





http://functions.wolfram.com/07.23.03.4892.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 14/3, 11/2, -z] == (6561 (Sqrt[z] (-77112 + 10200 z - 56440 z^2 + 275128 z^3 + 40171307 z^4 + 195965419 z^5 + 416962000 z^6 + 485491344 z^7 + 323700416 z^8 + 116663040 z^9 + 17704960 z^10) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (231336 - 99144 z + 229160 z^2 - 924392 z^3 + 10629080 z^4 + 95930263 z^5 + 263987984 z^6 + 361856976 z^7 + 272008256 z^8 + 107810560 z^9 + 17704960 z^10) Sinh[ArcSinh[Sqrt[z]]/3]))/ (286101010195 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