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ArcTanh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.27.27.3461.01









  


  








Input Form





ArcTanh[(2 Sqrt[1 - z^2])/(-2 + z^2)] == (Sqrt[1 - z^2]/Sqrt[z^2 - 1]) ((-((2 Sqrt[-1 + z] Sqrt[z^2])/(Sqrt[-1 + 1/z] z^(3/2)))) ArcSech[z] + (UnitStep[Abs[Sqrt[z^2 - 1]] - 1] + Sqrt[z^2]/z - 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