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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=11/3





http://functions.wolfram.com/07.23.03.5375.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, 5/2, z] == (1/(7082725 z^(3/2))) (27 (-((1/Sqrt[1 - z]) (Sqrt[z] (616 - 246079 z + 1665999 z^2 - 4224584 z^3 + 5127824 z^4 - 3019328 z^5 + 695552 z^6) Cos[ArcSin[Sqrt[z]]/3])) - (-1848 - 49280 z + 723291 z^2 - 2575560 z^3 + 3878992 z^4 - 2671552 z^5 + 695552 z^6) Sin[ArcSin[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