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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=-27/5, b>=a > For fixed z and a=-27/5, b=1





http://functions.wolfram.com/07.23.03.aop6.01









  


  










Input Form





Hypergeometric2F1[-(27/5), 1, -(7/5), -z] == (1/4375) (4375 - 16875 z + 185625 z^2 + 816255 z^3 + 959310 z^4 + 353430 z^5 + 141372 z^(12/5) (1 + z)^3 Log[1 + z^(1/5)] + 141372 (-1)^(2/5) z^(12/5) (1 + z)^3 Log[1 - (-1)^(1/5) z^(1/5)] + 141372 (-1)^(4/5) z^(12/5) Log[1 + (-1)^(2/5) z^(1/5)] + 424116 (-1)^(4/5) z^(17/5) Log[1 + (-1)^(2/5) z^(1/5)] + 424116 (-1)^(4/5) z^(22/5) Log[1 + (-1)^(2/5) z^(1/5)] + 141372 (-1)^(4/5) z^(27/5) Log[1 + (-1)^(2/5) z^(1/5)] - 141372 (-1)^(1/5) z^(12/5) Log[1 - (-1)^(3/5) z^(1/5)] - 424116 (-1)^(1/5) z^(17/5) Log[1 - (-1)^(3/5) z^(1/5)] - 424116 (-1)^(1/5) z^(22/5) Log[1 - (-1)^(3/5) z^(1/5)] - 141372 (-1)^(1/5) z^(27/5) Log[1 - (-1)^(3/5) z^(1/5)] - 141372 (-1)^(3/5) z^(12/5) Log[1 + (-1)^(4/5) z^(1/5)] - 424116 (-1)^(3/5) z^(17/5) Log[1 + (-1)^(4/5) z^(1/5)] - 424116 (-1)^(3/5) z^(22/5) Log[1 + (-1)^(4/5) z^(1/5)] - 141372 (-1)^(3/5) z^(27/5) 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