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variants of this functions
ArcTan






Mathematica Notation

Traditional Notation









Elementary Functions > ArcTan[z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself > In the lower half-plane





http://functions.wolfram.com/01.14.06.0028.01









  


  










Input Form





ArcTan[z] == ArcTan[x] - Pi Floor[Arg[I (x - z)]/(2 Pi)] - Sum[(1/(k (1 + x^2)^k)) Sum[Binomial[k, j] Cos[(Pi (k + j + 1))/2] x^j (z - x)^k, {j, 0, k}], {k, 1, Infinity}] /; Element[I x, Reals] && I x > 1










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





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