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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/07.23.03.7377.01









  


  








Input Form





Hypergeometric2F1[-(1/3), 6, 17/3, -z] == (1/(7971615 z^(14/3))) (77 (3 z^(2/3) (-220 + 488 z - 915 z^2 + 1820 z^3 + 29120 z^4) - 20 (22 - 40 z + 70 z^2 - 140 z^3 + 455 z^4 + 1456 z^5) Log[1 + z^(1/3)] + 20 (-1)^(1/3) (22 - 40 z + 70 z^2 - 140 z^3 + 455 z^4 + 1456 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 20 (-1)^(2/3) (22 - 40 z + 70 z^2 - 140 z^3 + 455 z^4 + 1456 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