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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=-17/3, b>=a > For fixed z and a=-17/3, b=6





http://functions.wolfram.com/07.23.03.4942.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 6, -(14/3), -z] == (1/841995) (-((1/(1 + z)^5) (3 (-280665 + 641520 z - 1691280 z^2 + 5496660 z^3 - 25284636 z^4 + 252846360 z^5 + 2482333880 z^6 + 6418100780 z^7 + 7491223740 z^8 + 4176924752 z^9 + 908027120 z^10))) - 1816054240 z^(17/3) Log[1 + z^(1/3)] - 1816054240 (-1)^(2/3) z^(17/3) Log[1 - (-1)^(1/3) z^(1/3)] + 1816054240 (-1)^(1/3) z^(17/3) 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