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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=-22/5, b>=a > For fixed z and a=-22/5, b=1





http://functions.wolfram.com/07.23.03.aqc4.01









  


  








Input Form





Hypergeometric2F1[-(22/5), 1, -(2/5), -z] == (1/1875) (1875 - 20625 z - 90695 z^2 - 106590 z^3 - 39270 z^4 - 15708 z^(7/5) (1 + z)^3 Log[1 + z^(1/5)] - 15708 (-1)^(2/5) z^(7/5) (1 + z)^3 Log[1 - (-1)^(1/5) z^(1/5)] - 15708 (-1)^(4/5) z^(7/5) Log[1 + (-1)^(2/5) z^(1/5)] - 47124 (-1)^(4/5) z^(12/5) Log[1 + (-1)^(2/5) z^(1/5)] - 47124 (-1)^(4/5) z^(17/5) Log[1 + (-1)^(2/5) z^(1/5)] - 15708 (-1)^(4/5) z^(22/5) Log[1 + (-1)^(2/5) z^(1/5)] + 15708 (-1)^(1/5) z^(7/5) Log[1 - (-1)^(3/5) z^(1/5)] + 47124 (-1)^(1/5) z^(12/5) Log[1 - (-1)^(3/5) z^(1/5)] + 47124 (-1)^(1/5) z^(17/5) Log[1 - (-1)^(3/5) z^(1/5)] + 15708 (-1)^(1/5) z^(22/5) Log[1 - (-1)^(3/5) z^(1/5)] + 15708 (-1)^(3/5) z^(7/5) Log[1 + (-1)^(4/5) z^(1/5)] + 47124 (-1)^(3/5) z^(12/5) Log[1 + (-1)^(4/5) z^(1/5)] + 47124 (-1)^(3/5) z^(17/5) Log[1 + (-1)^(4/5) z^(1/5)] + 15708 (-1)^(3/5) z^(22/5) 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