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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=3





http://functions.wolfram.com/07.23.03.4807.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 3, -(5/3), -z] == (1/10935) (3 (3645 - 37179 z + 520506 z^2 + 5510890 z^3 + 10943240 z^4 + 6021400 z^5) + 52360 z^(8/3) (77 + 357 z + 510 z^2 + 230 z^3) Log[1 + z^(1/3)] + 52360 (-1)^(2/3) z^(8/3) (77 + 357 z + 510 z^2 + 230 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 52360 (-1)^(1/3) z^(8/3) (77 + 357 z + 510 z^2 + 230 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