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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=-14/3, b>=a > For fixed z and a=-14/3, b=-1/3





http://functions.wolfram.com/07.23.03.5217.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(1/3), 9/2, z] == (243 (Sqrt[z] (276480 - 3559424 z + 24614912 z^2 + 501643897 z^3 - 464945209 z^4 - 72585240 z^5 + 17269688 z^6 - 2965344 z^7 + 250240 z^8) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (-829440 + 10432512 z - 70862848 z^2 + 533585920 z^3 + 1341094099 z^4 - 64984200 z^5 + 15880856 z^6 - 2840224 z^7 + 250240 z^8) Sin[ArcSin[Sqrt[z]]/3]))/ (166714597595 Sqrt[1 - z] z^(7/2))










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