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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=6





http://functions.wolfram.com/07.23.03.b1kn.01









  


  








Input Form





Hypergeometric2F1[11/5, 6, 26/5, z] == (1/1953125) (308 (-(5375/(-1 + z)^3) - 5280/z^4 - 6820/z^3 - 5250/z^2 - 1500/z + (750 z)/(-1 + z)^3 + (1500 z^2)/(-1 + z)^3 - (12 (88 + 99 z + 63 z^2) Log[1 - z^(1/5)])/z^(21/5) - (12 (-1)^(4/5) (88 + 99 z + 63 z^2) Log[1 + (-1)^(1/5) z^(1/5)])/ z^(21/5) + (1056 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(21/5) + (1188 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(16/5) + (756 (-1)^(3/5) Log[1 - (-1)^(2/5) z^(1/5)])/z^(11/5) - (1056 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(21/5) - (1188 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(16/5) - (756 (-1)^(2/5) Log[1 + (-1)^(3/5) z^(1/5)])/z^(11/5) + (1056 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(21/5) + (1188 (-1)^(1/5) Log[1 - (-1)^(4/5) z^(1/5)])/z^(16/5) + (756 (-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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Date Added to functions.wolfram.com (modification date)





2007-05-02