Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Complex analysis

  1. Nov 24, 2005 #1
    hi there
    im confused with this question..
    Integrate 1) Sin(1/z) dz
    and 2) Z sin (1/Z^3)

    where Z is any complex number., over C which is a circle of radius 1 centred at 0

    i tried using the cauchy integral formula and stuff but somehow the answer always comes infinity...is that right ..please help..got exam tomorrow!
     
  2. jcsd
  3. Nov 25, 2005 #2

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    Where are the poles and what are its residues at each pole?
     
  4. Nov 25, 2005 #3

    benorin

    User Avatar
    Homework Helper

    Use Laurent series
     
  5. Nov 27, 2005 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Presumably, you know the Taylor's series for sin(z). Replace z in that series by 1/z and 1/z3 to get the Laurent Series for sin(1/z) and sin(1/z3) respectively. Then the integrals should be easy.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Complex analysis
  1. Complex analysis (Replies: 1)

  2. Complex Analysis (Replies: 4)

  3. Complex analysis (Replies: 5)

  4. Complex analysis (Replies: 10)

Loading...