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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=-26/5, b>=a > For fixed z and a=-26/5, b=2





http://functions.wolfram.com/07.23.03.ap55.01









  


  








Input Form





Hypergeometric2F1[-(26/5), 2, -(16/5), z] == (1/11000) (11000 + 35750 z + 102375 z^2 + 364000 z^3 + 5005000 z^4 - 7447440 z^5 - 48048 z^(21/5) (-26 + 31 z) Log[1 - z^(1/5)] + 48048 (-1)^(1/5) z^(21/5) (-26 + 31 z) Log[1 + (-1)^(1/5) z^(1/5)] + 1249248 (-1)^(2/5) z^(21/5) Log[1 - (-1)^(2/5) z^(1/5)] - 1489488 (-1)^(2/5) z^(26/5) Log[1 - (-1)^(2/5) z^(1/5)] - 1249248 (-1)^(3/5) z^(21/5) Log[1 + (-1)^(3/5) z^(1/5)] + 1489488 (-1)^(3/5) z^(26/5) Log[1 + (-1)^(3/5) z^(1/5)] + 1249248 (-1)^(4/5) z^(21/5) Log[1 - (-1)^(4/5) z^(1/5)] - 1489488 (-1)^(4/5) z^(26/5) 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