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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=4





http://functions.wolfram.com/07.23.03.4858.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 4, 1/3, -z] == (1/177147) (3 (59049 + 2863412 z + 19295255 z^2 + 45749550 z^3 + 44919644 z^4 + 15655640 z^5) + 52360 z^(2/3) (1 + z)^2 (22 + 264 z + 759 z^2 + 598 z^3) Log[1 + z^(1/3)] + 52360 (-1)^(2/3) z^(2/3) (1 + z)^2 (22 + 264 z + 759 z^2 + 598 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 52360 (-1)^(1/3) z^(2/3) (1 + z)^2 (22 + 264 z + 759 z^2 + 598 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