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!

Imaginary convergence

  1. Oct 19, 2007 #1
    If you have an infinite series some or all of whose coefficients involve imaginary terms how do you check for convergence?
  2. jcsd
  3. Oct 19, 2007 #2
    jsut split series into complex and real parts and test convergence for each part
  4. Oct 19, 2007 #3
    The reals are a subset of the imaginary numbers. Hence just check for convergence in the complex plane.
  5. Oct 19, 2007 #4
    I wouldn't say that, because when you say imaginary number there is usually the implication that you are speaking of a number in the form ri where r is a real number. The reals are, however, a subset of the complex numbers.
  6. Oct 20, 2007 #5
    like davidsmith said, split up the series into real and imaginary parts. Then you effectively have to deal with two real-valued series.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Imaginary convergence
  1. Converges to (Replies: 1)

  2. Imaginary integration? (Replies: 3)