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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(i(z2-1)/2z)





http://functions.wolfram.com/01.28.27.1559.01









  


  








Input Form





ArcCoth[z] == (Pi/4) ((-Sqrt[-(1/z^2)]) z + ((z - 1)/(z + 1)) Sqrt[((1 + z)/(-1 + z))^2] (I + Sqrt[-(1/z^2)] z)) - ((I (z - 1))/(2 (z + 1))) Sqrt[((1 + z)/(-1 + z))^2] ArcSec[(I (z^2 - 1))/(2 z)] /; 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)





2003-09-04