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variants of this functions
ArcTan




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTan[z] > Representations through equivalent functions > With related functions > Involving coth-1 > Involving tan-1(1-z/1+z) > Involving tan-1(1-z/1+z) and coth-1(i z)





http://functions.wolfram.com/01.14.27.2138.01









  


  








Input Form





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