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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=-16/3, b>=a > For fixed z and a=-16/3, b=4





http://functions.wolfram.com/07.23.03.5046.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 4, 5/3, -z] == (1/7971615) (7818735 + 92925024 z + 343625880 z^2 + 554090160 z^3 + 409669260 z^4 + 114114000 z^5 - (7280 (1 + z)^3 (14 + 798 z + 4389 z^2 + 5225 z^3) Log[1 + z^(1/3)])/ z^(2/3) + (7280 (-1)^(1/3) (1 + z)^3 (14 + 798 z + 4389 z^2 + 5225 z^3) Log[1 - (-1)^(1/3) z^(1/3)])/z^(2/3) - (7280 (-1)^(2/3) (1 + z)^3 (14 + 798 z + 4389 z^2 + 5225 z^3) Log[1 + (-1)^(2/3) z^(1/3)])/z^(2/3))








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