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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=2/3, b>=a > For fixed z and a=2/3, b=1





http://functions.wolfram.com/07.23.03.7634.01









  


  








Input Form





Hypergeometric2F1[2/3, 1, 5/3, z] == (1/(3 z^(2/3))) (Log[1 - z] - 3 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