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ArcTanh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Representations through equivalent functions > With related functions > Involving sinh-1 > Involving tanh-1(2 (1+z2)1/2/2+z2) > Involving tanh-1(2 (1+z2)1/2/2+z2) and sinh-1(1/z)





http://functions.wolfram.com/01.27.27.2234.01









  


  








Input Form





ArcTanh[(2 Sqrt[1 + z^2])/(2 + z^2)] == (Sqrt[1 + z^2]/Sqrt[-z^2 - 1]) (2 (Sqrt[-z^2]/z) ArcSinh[1/z] - (UnitStep[Abs[Sqrt[-z^2 - 1]] - 1] - 1) 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)





2003-08-21