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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=-2/5, b>=a > For fixed z and a=-2/5, b=6





http://functions.wolfram.com/07.23.03.ax6m.01









  


  








Input Form





Hypergeometric2F1[-(2/5), 6, 8/5, z] == (1/781250) ((25 (-13256 + 33638 z - 29733 z^2 + 8976 z^3))/(-1 + z)^4 - (1/z^(3/5)) (31416 (Log[1 - z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(4/5) z^(1/5)])) - 424116 (-(5/2) - z^(2/5) (Log[1 - z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(2/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(3/5) z^(1/5)] - (-1)^(3/5) 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