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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 6 and fixed z > For fixed z and a=1/6, b=1





http://functions.wolfram.com/07.23.03.0299.01









  


  








Input Form





Hypergeometric2F1[1/6, 1, 7/6, z] == (1/(12 z^(1/6))) (2 Log[1 + z^(1/6)] - 2 Log[1 - z^(1/6)] - Log[1 - z^(1/6) + z^(1/3)] + Log[1 + z^(1/6) + z^(1/3)] + 2 Sqrt[3] ArcTan[1 - z^(1/3), Sqrt[3] z^(1/6)])








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)





2001-10-29