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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 3 and fixed z > For fixed z and a=-10/3, b>=a > For fixed z and a=-10/3, b=2





http://functions.wolfram.com/07.23.03.6027.01









  


  








Input Form





Hypergeometric2F1[-(10/3), 2, 5/3, z] == (1/4374) (3 (1388 - 4740 z + 5145 z^2 - 1820 z^3) - (140 (-1 + z)^3 (-1 + 13 z) Log[1 - z^(1/3)])/z^(2/3) + (140 (-1)^(1/3) (-1 + z)^3 (-1 + 13 z) Log[1 + (-1)^(1/3) z^(1/3)])/ z^(2/3) - (140 (-1)^(2/3) (-1 + z)^3 (-1 + 13 z) Log[1 - (-1)^(2/3) z^(1/3)])/z^(2/3))








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