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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=-8/3, b>=a > For fixed z and a=-8/3, b=3





http://functions.wolfram.com/07.23.03.6315.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 3, 4/3, -z] == (1/2187) (1587 + 6072 z + 4620 z^2 + (40 (5 + 60 z + 132 z^2 + 77 z^3) Log[1 + z^(1/3)])/z^(1/3) + (40 (-1)^(2/3) (5 + 60 z + 132 z^2 + 77 z^3) Log[1 - (-1)^(1/3) z^(1/3)])/ z^(1/3) - (40 (-1)^(1/3) (5 + 60 z + 132 z^2 + 77 z^3) Log[1 + (-1)^(2/3) z^(1/3)])/z^(1/3))








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