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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=-1/5, b>=a > For fixed z and a=-1/5, b=3





http://functions.wolfram.com/07.23.03.axd7.01









  


  








Input Form





Hypergeometric2F1[-(1/5), 3, 24/5, z] == -((1/(312500 z^(19/5))) (399 (-1)^(1/5) (12 (-1)^(4/5) (-1 + z)^2 (21 + 18 z + 11 z^2) Log[1 - z^(1/5)] + 12 (-1 + z)^2 (21 + 18 z + 11 z^2) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-12 (-1 + z)^2 (21 + 18 z + 11 z^2) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (12 (-1 + z)^2 (21 + 18 z + 11 z^2) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (63 - 44 z - 26 z^2 + 132 z^3) - 12 (-1 + z)^2 (21 + 18 z + 11 z^2) 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