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ArcTanh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Representations through equivalent functions > With related functions > Involving csc-1 > Involving tanh-1(z-a/z+a1/2) > Involving tanh-1(z+1/z-11/2) and csc-1(1/z)





http://functions.wolfram.com/01.27.27.1433.01









  


  








Input Form





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








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