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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=-13/3, b>=a > For fixed z and a=-13/3, b=5





http://functions.wolfram.com/07.23.03.5598.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 5, 5/3, -z] == (1/531441) (2 (3 (86981 + 1048580 z + 3530865 z^2 + 4469465 z^3 + 1901900 z^4) - (455 (7 + 455 z + 3640 z^2 + 9880 z^3 + 10868 z^4 + 4180 z^5) Log[1 + z^(1/3)])/z^(2/3) + (1/z^(2/3)) (455 (-1)^(1/3) (7 + 455 z + 3640 z^2 + 9880 z^3 + 10868 z^4 + 4180 z^5) Log[1 - (-1)^(1/3) z^(1/3)]) - (1/z^(2/3)) (455 (-1)^(2/3) (7 + 455 z + 3640 z^2 + 9880 z^3 + 10868 z^4 + 4180 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