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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=2





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









  


  








Input Form





Hypergeometric2F1[-(27/5), 2, -(17/5), -z] == (1/29750) (29750 - 94500 z + 259875 z^2 - 841500 z^3 + 6311250 z^4 + 11309760 z^5 + 141372 z^(22/5) (27 + 32 z) Log[1 + z^(1/5)] + 141372 (-1)^(2/5) z^(22/5) (27 + 32 z) Log[1 - (-1)^(1/5) z^(1/5)] + 3817044 (-1)^(4/5) z^(22/5) Log[1 + (-1)^(2/5) z^(1/5)] + 4523904 (-1)^(4/5) z^(27/5) Log[1 + (-1)^(2/5) z^(1/5)] - 3817044 (-1)^(1/5) z^(22/5) Log[1 - (-1)^(3/5) z^(1/5)] - 4523904 (-1)^(1/5) z^(27/5) Log[1 - (-1)^(3/5) z^(1/5)] - 3817044 (-1)^(3/5) z^(22/5) Log[1 + (-1)^(4/5) z^(1/5)] - 4523904 (-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