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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=5





http://functions.wolfram.com/07.23.03.b1hy.01









  


  








Input Form





Hypergeometric2F1[11/5, 5, 26/5, z] == (1/78125) (154 (250/(-1 + z)^2 - 2640/z^4 - 1760/z^3 - 1000/z^2 - 375/z + (375 z)/(-1 + z)^2 - (12 (44 + 22 z + 9 z^2) Log[1 - z^(1/5)])/z^(21/5) - (12 (-1)^(4/5) (44 + 22 z + 9 z^2) Log[1 + (-1)^(1/5) z^(1/5)])/ z^(21/5) + (528 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(21/5) + (264 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(16/5) + (108 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(11/5) - (528 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(21/5) - (264 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(16/5) - (108 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(11/5) + (528 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(21/5) + (264 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(16/5) + (108 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(11/5)))








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