Results 1 to 3 of 3

Math Help - Quick complex analysis query

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    23

    Quick complex analysis query

    Quick complex analysis query
    Hi, I'm just working through examples for revision and I've come across one that I've worked but not sure if its correct. If anyone could check it would be much appreciated:

    Expand 1/z in power series about z=1

    Ok you can write 1/z as 1/[1+(z-1)] in this case since expansion is about 1. Then: 1/[1+(z-1)= 1/(1+(z-1)/1)=1[1-(z-1)+(z-1)^2-+....]
    oo
    =SUM (-1)^k(z-1)^k
    k=0

    Now is this sufficient for the question or have I left anything vitally important out. I am not great at the subject so I need to make sure anything I'm using as study exercises is working out correctly!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by musicmental85 View Post
    Quick complex analysis query
    Hi, I'm just working through examples for revision and I've come across one that I've worked but not sure if its correct. If anyone could check it would be much appreciated:

    Expand 1/z in power series about z=1
    1/z = 1/1+(z-1) = 1-(z-1)+(z-1)^2-(z-1)^3+...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2007
    Posts
    23
    Perfect, thats what I thought but I know I'll be looking at it later closer to the exams in january and I don't want to learn something incorrect. I don't even need the sum section then do I?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: September 13th 2011, 07:16 AM
  2. Complex transformation query
    Posted in the Geometry Forum
    Replies: 1
    Last Post: September 13th 2009, 03:52 AM
  3. Complex Analysis - need quick help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 25th 2008, 09:32 AM
  4. quick query!
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: June 1st 2008, 04:49 PM
  5. Real Analysis query!
    Posted in the Calculus Forum
    Replies: 8
    Last Post: November 27th 2007, 11:48 AM

Search Tags


/mathhelpforum @mathhelpforum