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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=-21/5, b>=a > For fixed z and a=-21/5, b=5





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









  


  








Input Form





Hypergeometric2F1[-(21/5), 5, -(1/5), z] == (1/390625) (924 (-(186875/924) - 625/(-1 + z) + (1925625 z)/44 - (5646030 z^2)/11 + 1358110 z^3 - 991380 z^4 - 52 z^(6/5) (-308 + 2604 z - 5859 z^2 + 3813 z^3) Log[1 - z^(1/5)] + 52 (-1)^(1/5) z^(6/5) (-308 + 2604 z - 5859 z^2 + 3813 z^3) Log[1 + (-1)^(1/5) z^(1/5)] + 16016 (-1)^(2/5) z^(6/5) Log[1 - (-1)^(2/5) z^(1/5)] - 135408 (-1)^(2/5) z^(11/5) Log[1 - (-1)^(2/5) z^(1/5)] + 304668 (-1)^(2/5) z^(16/5) Log[1 - (-1)^(2/5) z^(1/5)] - 198276 (-1)^(2/5) z^(21/5) Log[1 - (-1)^(2/5) z^(1/5)] - 16016 (-1)^(3/5) z^(6/5) Log[1 + (-1)^(3/5) z^(1/5)] + 135408 (-1)^(3/5) z^(11/5) Log[1 + (-1)^(3/5) z^(1/5)] - 304668 (-1)^(3/5) z^(16/5) Log[1 + (-1)^(3/5) z^(1/5)] + 198276 (-1)^(3/5) z^(21/5) Log[1 + (-1)^(3/5) z^(1/5)] + 16016 (-1)^(4/5) z^(6/5) Log[1 - (-1)^(4/5) z^(1/5)] - 135408 (-1)^(4/5) z^(11/5) Log[1 - (-1)^(4/5) z^(1/5)] + 304668 (-1)^(4/5) z^(16/5) Log[1 - (-1)^(4/5) z^(1/5)] - 198276 (-1)^(4/5) z^(21/5) 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