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ArcCoth






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCoth[z] > Complex characteristics > Absolute value





http://functions.wolfram.com/01.28.19.0005.01









  


  










Input Form





Abs[ArcCoth[x + I y]] == (1/2) Sqrt[(ArcTan[1 - x/(x^2 + y^2), y/(x^2 + y^2)] - ArcTan[1 + x/(x^2 + y^2), -(y/(x^2 + y^2))])^2 + (1/4) (Log[(1 - 2 x + x^2 + y^2)/(x^2 + y^2)] - Log[(1 + 2 x + x^2 + y^2)/(x^2 + y^2)])^2]










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)





2001-10-29