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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=-23/5, b>=a > For fixed z and a=-23/5, b=6





http://functions.wolfram.com/07.23.03.aq7i.01









  


  








Input Form





Hypergeometric2F1[-(23/5), 6, -(8/5), -z] == (1/3906250) (897 (-((125 (4072 + 7809 z + 3762 z^2))/(1 + z)^3) - 3634092 (-(5/13) + (5 z)/8 - (5 z^2)/3 + z^(13/5) (Log[1 + z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)])) + 17362884 (-(5/18) + (5 z)/13 - (5 z^2)/8 + (5 z^3)/3 - z^(18/5) (Log[1 + z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)])) - 18117792 (-(5/23) + (5 z)/18 - (5 z^2)/13 + (5 z^3)/8 - (5 z^4)/3 + z^(23/5) (Log[1 + z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)]))))








Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02