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ArcCosh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.26.27.1624.01









  


  








Input Form





ArcCosh[(2 z)/(z^2 + 1)] == (Sqrt[-(z - 1)^2]/(1 - z)) Sqrt[z + 1] Sqrt[1/(z + 1)] (Pi (z Sqrt[1/z^2] Sqrt[1/(1 + z^2)] Sqrt[1 + z^2] - 1/2) + 2 I ArcTanh[I z]) /; (Abs[z] < 1 && Inequality[-(Pi/2), LessEqual, Arg[z], Less, Pi/2]) || Abs[z] > 1








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