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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=4/3, b>=a > For fixed z and a=4/3, b=5/3





http://functions.wolfram.com/07.23.03.7892.01









  


  








Input Form





Hypergeometric2F1[4/3, 5/3, 11/2, z] == (1/(369512 z^(9/2))) (6561 ((3 Sqrt[z] (-945 + 2755 z - 2651 z^2 + 841 z^3) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] - (-8505 + 22275 z - 18379 z^2 + 4393 z^3) 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