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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((z2)1/2/(z2-1)1/2) > Involving tanh-1((z2)1/2/(z2-1)1/2) and sech-1(1/z)





http://functions.wolfram.com/01.27.27.3411.01









  


  








Input Form





ArcTanh[Sqrt[z^2]/Sqrt[z^2 - 1]] == Sqrt[z/(z + 1)] Sqrt[(z + 1)/z] ArcSech[1/z] + (Sqrt[1 - z^2] Sqrt[1/(1 - z^2)] - (I Sqrt[z^2 - z^4])/(z Sqrt[-1 + z^2]) - 1) ((Pi I)/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)





2003-08-21