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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=-11/3, b>=a > For fixed z and a=-11/3, b=4





http://functions.wolfram.com/07.23.03.5894.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 4, 1/3, -z] == (1/19683) (3 (6561 + 191884 z + 654500 z^2 + 523600 z^3) + 440 z^(2/3) (220 + 1848 z + 3927 z^2 + 2380 z^3) Log[1 + z^(1/3)] + 440 (-1)^(2/3) z^(2/3) (220 + 1848 z + 3927 z^2 + 2380 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 440 (-1)^(1/3) z^(2/3) (220 + 1848 z + 3927 z^2 + 2380 z^3) 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