1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Branch cut for (lnz)^2

  1. Jun 10, 2013 #1
    1. The problem statement, all variables and given/known data
    It is simply the same as the one for lnz i.e. does it go from 0 to ∞?
    Also, is there any proper way to figure out branch points of a function?

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Jun 10, 2013 #2
  4. Jun 10, 2013 #3
    Do you mean, "Does z go from 0 to ∞?" Your question is unclear, which is why no one will answer.

    Generally, branch cuts can be made fairly arbitrarily as long as they make sense. Though, I personally prefer to use Riemann surfaces because they are more fun for me.
  5. Jun 10, 2013 #4


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Certainly if you have a domain where ln(z) is defined holomorphically, then ln(z)2 is also holomorphic on the same domain
  6. Jun 11, 2013 #5
    Ok thanks.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted