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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=1/3, b>=a > For fixed z and a=1/3, b=5





http://functions.wolfram.com/07.23.03.7584.01









  


  








Input Form





Hypergeometric2F1[1/3, 5, 16/3, -z] == (1/(708588 z^(13/3))) (455 (3 z^(1/3) (-140 + 147 z - 168 z^2 + 220 z^3) + 4 (35 - 28 z + 30 z^2 - 40 z^3 + 110 z^4) Log[1 + z^(1/3)] + 4 (-1)^(2/3) (35 - 28 z + 30 z^2 - 40 z^3 + 110 z^4) Log[1 - (-1)^(1/3) z^(1/3)] - 4 (-1)^(1/3) (35 - 28 z + 30 z^2 - 40 z^3 + 110 z^4) Log[1 + (-1)^(2/3) 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