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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=12/5, b>=a > For fixed z and a=12/5, b=6





http://functions.wolfram.com/07.23.03.b1u9.01









  


  








Input Form





Hypergeometric2F1[12/5, 6, 27/5, -z] == (1/1953125) (187 (-(10710/z^4) + 13140/z^3 - 10125/z^2 + 4500/z + 7375/(1 + z)^3 - (3375 z)/(1 + z)^3 - (4500 z^2)/(1 + z)^3 - (84 (51 - 48 z + 26 z^2) Log[1 + z^(1/5)])/z^(22/5) + (84 (-1)^(3/5) (51 - 48 z + 26 z^2) Log[1 - (-1)^(1/5) z^(1/5)])/ z^(22/5) + (4284 (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)])/z^(22/5) - (4032 (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)])/z^(17/5) + (2184 (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)])/z^(12/5) - (4284 (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)])/z^(22/5) + (4032 (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)])/z^(17/5) - (2184 (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)])/z^(12/5) - (4284 (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)])/z^(22/5) + (4032 (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)])/z^(17/5) - (2184 (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)])/z^(12/5)))








Standard Form





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MathML Form







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





2007-05-02