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ArcCoth




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCoth[z] > Transformations > Related transformations > Differences involving the direct function > Involving tan-1(z)





http://functions.wolfram.com/01.28.16.0199.01









  


  








Input Form





ArcCoth[x] - I ArcTan[y] == (-I) ArcTan[(I + x y)/(x - I y)] - I Pi Floor[(Pi - Arg[1 + 1/x] - Arg[1 - I y] + Arg[1 - (I y)/x])/(2 Pi)] + I Pi Floor[(Pi - Arg[1 - 1/x] - Arg[1 + I y] + Arg[1 - (I y)/x])/(2 Pi)]








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)





2007-05-02