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





http://functions.wolfram.com/01.27.27.1523.01









  


  










Input Form





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