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ArcTanh






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.27.16.0145.01









  


  










Input Form





ArcTanh[x] + Log[y] == I Pi Floor[(-Arg[1 - x] + Arg[x + 1] + Pi)/(2 Pi)] - 2 I Pi (Floor[((1/2) Arg[(1 - x)/(x + 1)] - Arg[y] + Pi)/(2 Pi)] + Floor[((1/2) Im[Log[(1 - x)/(x + 1)]] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[y]])/(2 Pi)]) + I Pi (1 - (-1)^Floor[Arg[y/Sqrt[(1 - x)/(x + 1)] + 1]/(2 Pi) + 1/2]) + 2 ArcTanh[(y/Sqrt[(1 - x)/(x + 1)] - 1)/(y/Sqrt[(1 - x)/(x + 1)] + 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