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variants of this functions
Log






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.04.16.0117.01









  


  










Input Form





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





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