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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 5 and fixed z > For fixed z and a=-21/5, b>=a > For fixed z and a=-21/5, b=1





http://functions.wolfram.com/07.23.03.aqqt.01









  


  








Input Form





Hypergeometric2F1[-(21/5), 1, -(1/5), z] == (1/625) (625 + 13125 z - 47880 z^2 + 52360 z^3 - 18480 z^4 - 3696 (-1 + z)^3 z^(6/5) Log[1 - z^(1/5)] + 3696 (-1)^(1/5) (-1 + z)^3 z^(6/5) Log[1 + (-1)^(1/5) z^(1/5)] + 3696 (-1)^(2/5) z^(6/5) Log[1 - (-1)^(2/5) z^(1/5)] - 11088 (-1)^(2/5) z^(11/5) Log[1 - (-1)^(2/5) z^(1/5)] + 11088 (-1)^(2/5) z^(16/5) Log[1 - (-1)^(2/5) z^(1/5)] - 3696 (-1)^(2/5) z^(21/5) Log[1 - (-1)^(2/5) z^(1/5)] - 3696 (-1)^(3/5) z^(6/5) Log[1 + (-1)^(3/5) z^(1/5)] + 11088 (-1)^(3/5) z^(11/5) Log[1 + (-1)^(3/5) z^(1/5)] - 11088 (-1)^(3/5) z^(16/5) Log[1 + (-1)^(3/5) z^(1/5)] + 3696 (-1)^(3/5) z^(21/5) Log[1 + (-1)^(3/5) z^(1/5)] + 3696 (-1)^(4/5) z^(6/5) Log[1 - (-1)^(4/5) z^(1/5)] - 11088 (-1)^(4/5) z^(11/5) Log[1 - (-1)^(4/5) z^(1/5)] + 11088 (-1)^(4/5) z^(16/5) Log[1 - (-1)^(4/5) z^(1/5)] - 3696 (-1)^(4/5) z^(21/5) Log[1 - (-1)^(4/5) z^(1/5)])








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