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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=6





http://functions.wolfram.com/07.23.03.7725.01









  


  








Input Form





Hypergeometric2F1[2/3, 6, 11/3, -z] == (1/(19683 z^(8/3))) (2 ((3 z^(2/3) (-70 + 98 z + 2955 z^2 + 4445 z^3 + 1820 z^4))/(1 + z)^3 - 140 (1 - 4 z + 13 z^2) Log[1 + z^(1/3)] + 140 (-1)^(1/3) (1 - 4 z + 13 z^2) Log[1 - (-1)^(1/3) z^(1/3)] - 140 (-1)^(2/3) (1 - 4 z + 13 z^2) 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