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Find the continuous branch cut of a complex logarythm

  • Thread starter hachiroku
  • Start date
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1. Homework Statement

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

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

2. Homework 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
 
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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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