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Find the continuous branch cut of a complex logarythm

  1. Jun 7, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the continuous branch cut of a complex logarythm for C\[iy:y=>0]

    One of the complex numbers, for example, is -4i

    2. Relevant equations

    I don´t understand what to do with the subset. How could I find the continuous branch cut in the subset?


    3. The attempt at a solution

    I found the main value: log(2)+i(3pi/2+2kpi)



    Thanks
     
  2. jcsd
  3. Jun 8, 2012 #2
    Start with the multi-valued definition of the complex logarithm:

    [tex]\log(z)=\ln|z|+i\arg(z)[/tex]

    What's that look like? I mean a picture of the real and imaginary parts of that function. You do Mathematica?
     
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