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





http://functions.wolfram.com/07.23.03.7410.01









  


  








Input Form





Hypergeometric2F1[1/3, 1, 4/3, z] == (1/(6 z^(1/3))) (Log[1 + z^(1/3) + z^(2/3)] - 2 Log[1 - z^(1/3)] + 2 Sqrt[3] ArcTan[2 + z^(1/3), Sqrt[3] z^(1/3)])








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