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ArcCoth




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCoth[z] > Representations through equivalent functions > With related functions > Involving sec-1 > Involving coth-1(z) > Involving coth-1(z) and sec-1((2(z2-1)1/2/((z2-1)1/2+z))1/2)





http://functions.wolfram.com/01.28.27.1623.01









  


  








Input Form





ArcCoth[z] == -2 Sqrt[z^2] Sqrt[-(1/z^2)] Sqrt[z + 1] Sqrt[1/(z + 1)] ArcSec[Sqrt[(2 Sqrt[z^2 - 1])/(Sqrt[z^2 - 1] + z)]] + (1 - (I Sqrt[-z])/(2 Sqrt[z]) + (I Sqrt[-z] Sqrt[z^2])/(2 z^(3/2)) - Sqrt[z/(z + 1)] Sqrt[(z + 1)/z]) Pi I








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)





2003-09-04