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ArcTanh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Transformations > Related transformations > Sums involving the direct function > Involving tan-1(z)





http://functions.wolfram.com/01.27.16.0157.01









  


  










Input Form





ArcTanh[x] + I ArcTan[y] == ArcTanh[(x + I y)/(1 + I x y)] + Pi I Floor[(-Arg[1 - x] - Arg[1 - I y] + Arg[I x y + 1] + Pi)/(2 Pi)] - Pi I Floor[(-Arg[x + 1] - Arg[I y + 1] + Arg[I x y + 1] + Pi)/(2 Pi)]










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