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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=14/3





http://functions.wolfram.com/07.23.03.6384.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 14/3, 5/2, z] == (1/(10450 z^(3/2))) (27 (-((Sqrt[z] (1 - 361 z + 1784 z^2 - 2640 z^3 + 1216 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z]) - (-3 - 79 z + 920 z^2 - 2032 z^3 + 1216 z^4) 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