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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=-11/5, b>=a > For fixed z and a=-11/5, b=2





http://functions.wolfram.com/07.23.03.au4k.01









  


  








Input Form





Hypergeometric2F1[-(11/5), 2, -(1/5), -z] == (1/125) (125 - 2750 z - 5280 z^2 + 66 z^(6/5) (11 + 16 z) Log[1 + z^(1/5)] - 66 (-1)^(1/5) z^(6/5) (11 + 16 z) Log[1 - (-1)^(1/5) z^(1/5)] + 726 (-1)^(2/5) z^(6/5) Log[1 + (-1)^(2/5) z^(1/5)] + 1056 (-1)^(2/5) z^(11/5) Log[1 + (-1)^(2/5) z^(1/5)] - 726 (-1)^(3/5) z^(6/5) Log[1 - (-1)^(3/5) z^(1/5)] - 1056 (-1)^(3/5) z^(11/5) Log[1 - (-1)^(3/5) z^(1/5)] + 726 (-1)^(4/5) z^(6/5) Log[1 + (-1)^(4/5) z^(1/5)] + 1056 (-1)^(4/5) z^(11/5) 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