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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=11/3





http://functions.wolfram.com/07.23.03.6344.01









  


  










Input Form





Hypergeometric2F1[-(8/3), 11/3, 9/2, z] == (1/(1416545 z^(7/2))) (243 (-((1/Sqrt[1 - z]) (Sqrt[z] (135 + 8 z + 74 z^2 - 5215 z^3 + 12278 z^4 - 10192 z^5 + 2912 z^6) Cos[ArcSin[Sqrt[z]]/3])) - (-405 - 144 z - 318 z^2 - 1988 z^3 + 8274 z^4 - 8736 z^5 + 2912 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