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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(1-z2)/2z)





http://functions.wolfram.com/01.28.27.1554.01









  


  










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 (1 - z^2))/(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