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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=6





http://functions.wolfram.com/07.23.03.5991.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 6, 13/3, z] == (1/(43046721 z^(10/3))) (-3 z^(1/3) (3080 + 25410 z + 209880 z^2 - 9551059 z^3 + 33748638 z^4 - 40102524 z^5 + 15655640 z^6) - 3080 (-1 + z)^2 (1 + 10 z + 85 z^2 + 1700 z^3 - 9775 z^4 + 10166 z^5) Log[1 - z^(1/3)] - 3080 (-1)^(2/3) (-1 + z)^2 (1 + 10 z + 85 z^2 + 1700 z^3 - 9775 z^4 + 10166 z^5) Log[1 + (-1)^(1/3) z^(1/3)] + 3080 (-1)^(1/3) (-1 + z)^2 (1 + 10 z + 85 z^2 + 1700 z^3 - 9775 z^4 + 10166 z^5) 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