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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=-14/3, b>=a > For fixed z and a=-14/3, b=3





http://functions.wolfram.com/07.23.03.5358.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 3, 16/3, -z] == (1/(172186884 z^(13/3))) (13 (3 z^(1/3) (-107800 - 361130 z - 140140 z^2 + 269500 z^3 + 2408804 z^4 + 4349023 z^5 + 3674594 z^6 + 1544620 z^7 + 261800 z^8) + 3080 (1 + z)^7 (35 - 119 z + 170 z^2) Log[1 + z^(1/3)] + 3080 (-1)^(2/3) (1 + z)^7 (35 - 119 z + 170 z^2) Log[1 - (-1)^(1/3) z^(1/3)] - 3080 (-1)^(1/3) (1 + z)^7 (35 - 119 z + 170 z^2) 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