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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=-19/5, b>=a > For fixed z and a=-19/5, b=4





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









  


  








Input Form





Hypergeometric2F1[-(19/5), 4, 1/5, -z] == (1/234375) (234375 + 8260440 z + 29081780 z^2 + 23604840 z^3 + 4788 z^(4/5) (399 + 3192 z + 6612 z^2 + 3944 z^3) Log[1 + z^(1/5)] + 4788 (-1)^(4/5) z^(4/5) (399 + 3192 z + 6612 z^2 + 3944 z^3) Log[1 - (-1)^(1/5) z^(1/5)] - 1910412 (-1)^(3/5) z^(4/5) Log[1 + (-1)^(2/5) z^(1/5)] - 15283296 (-1)^(3/5) z^(9/5) Log[1 + (-1)^(2/5) z^(1/5)] - 31658256 (-1)^(3/5) z^(14/5) Log[1 + (-1)^(2/5) z^(1/5)] - 18883872 (-1)^(3/5) z^(19/5) Log[1 + (-1)^(2/5) z^(1/5)] + 1910412 (-1)^(2/5) z^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + 15283296 (-1)^(2/5) z^(9/5) Log[1 - (-1)^(3/5) z^(1/5)] + 31658256 (-1)^(2/5) z^(14/5) Log[1 - (-1)^(3/5) z^(1/5)] + 18883872 (-1)^(2/5) z^(19/5) Log[1 - (-1)^(3/5) z^(1/5)] - 1910412 (-1)^(1/5) z^(4/5) Log[1 + (-1)^(4/5) z^(1/5)] - 15283296 (-1)^(1/5) z^(9/5) Log[1 + (-1)^(4/5) z^(1/5)] - 31658256 (-1)^(1/5) z^(14/5) Log[1 + (-1)^(4/5) z^(1/5)] - 18883872 (-1)^(1/5) z^(19/5) 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