Results 1 to 1 of 1

Math Help - conjugates and analytics

  1. #1
    Member
    Joined
    Oct 2009
    Posts
    107
    Thanks
    2

    conjugates and analytics

    Hi, I'm having a little bit of trouble comprehending the attached question.

    First of all
    show that

    g(z) = f(z)


    Is the [f(z bar)]bar simply not the same as f(z) ? as it is the conjugate of the conjugate.

    could someone give me a pointer/hint as to how I'd go about showing g(z) is analytic on U bar? C-R equations come to mind.

    Finally, isn't the last part of the question a given? How is one supposed to show that, if they have already define g(z) to equal (f(z bar))bar

    thanks in advance.

    edit:

    Another quick q,
    where is sin(abs(z)^2) differentiable for over the complex plane? from what i see, sin(abs(z)^2) is defined for all C? Am i wrong?

    Same with sin(cosh(z)), this function is defined for all C, correct?
    Attached Thumbnails Attached Thumbnails conjugates and analytics-hahahahaeelel.jpg  
    Last edited by 99.95; September 1st 2013 at 11:20 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. analytics geometry
    Posted in the Math Topics Forum
    Replies: 8
    Last Post: September 26th 2012, 07:48 AM
  2. No. of conjugates
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: February 1st 2010, 06:10 PM
  3. conjugates
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: January 8th 2010, 02:56 PM
  4. Conjugates
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: November 12th 2009, 02:35 AM
  5. conjugates
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: April 27th 2008, 07:02 PM

Search Tags


/mathhelpforum @mathhelpforum