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





http://functions.wolfram.com/01.27.27.3190.01









  


  










Input Form





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