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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=6





http://functions.wolfram.com/07.23.03.7619.01









  


  








Input Form





Hypergeometric2F1[1/3, 6, 7/3, -z] == (1/(32805 z^(4/3))) ((3 z^(1/3) (440 + 6425 z + 13530 z^2 + 10868 z^3 + 3080 z^4))/(1 + z)^4 + 440 (-1 + 14 z) Log[1 + z^(1/3)] + 440 (-1)^(2/3) (-1 + 14 z) Log[1 - (-1)^(1/3) z^(1/3)] - 440 (-1)^(1/3) (-1 + 14 z) Log[1 + (-1)^(2/3) 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