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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=2





http://functions.wolfram.com/07.23.03.7455.01









  


  










Input Form





Hypergeometric2F1[1/3, 2, 7/3, -z] == (1/(27 z^(4/3))) (4 (3 z^(1/3) + (-1 + 2 z) Log[1 + z^(1/3)] + (-1)^(2/3) (-1 + 2 z) Log[1 - (-1)^(1/3) z^(1/3)] + (-1)^(1/3) Log[1 + (-1)^(2/3) z^(1/3)] - 2 (-1)^(1/3) z 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