1. Not finding help here? Sign up for a free 30min 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!

Singularities of a Complex Function

  1. Nov 22, 2014 #1
    1. The problem statement, all variables and given/known data

    What are the region of validity of the following?

    1/[z2(z3+2)] = 1/z3 - 1/(6z) +4/z10

    2. Relevant equations


    3. The attempt at a solution

    Knowing that this is the expansion around z=0, I am trying to find the singularities of the complex function.

    Which is when z2(z3+2) = 0

    I have z = 0, then (z3+2) = 0

    (z3+2) = 0

    z3 = -2 = r3ei3θ

    In order to find r, would I take the absolute value of z3?

    r = |z3| = |-2| = sqrt[(-2)2] = 2?
     
  2. jcsd
  3. Nov 22, 2014 #2

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

  4. Nov 23, 2014 #3

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    I don't think that's what you meant. Try again.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Singularities of a Complex Function
Loading...