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variants of this functions
Log




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.04.16.0137.01









  


  








Input Form





Log[x] - I ArcCot[y] == -2 I Pi (Floor[(-Arg[x] - (1/2) Arg[1 - I/y] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[x]])/(2 Pi)] + Floor[(Pi - (1/2) Im[Log[1 - I/y]])/ (2 Pi)]) - 2 I Pi (Floor[(-Arg[x Sqrt[1 - I/y]] + (1/2) Arg[1 + I/y] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[x Sqrt[1 - I/y]]])/(2 Pi)] + Floor[((1/2) Im[Log[1 + I/y]] + Pi)/(2 Pi)]) + Log[(x Sqrt[1 - I/y])/Sqrt[1 + I/y]]








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