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Computing the residue

  1. Sep 15, 2009 #1
    1. The problem statement, all variables and given/known data

    computing the residue;
    1/(1+z²+z⁴)

    2. Relevant equations

    Can someone explain to me what a residue is and how to calculate it! Is it simply the discontinuities of the function?

    3. The attempt at a solution
     
  2. jcsd
  3. Sep 15, 2009 #2
    Re: residues

    Its the co-efficient of the series expansion term at the singularity I think.
     
  4. Sep 15, 2009 #3

    Hurkyl

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    Re: residues

    Doesn't your complex analysis text define it? :confused:
     
  5. Sep 15, 2009 #4

    HallsofIvy

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    Re: residues

    The residue is the coefficient of (x- x0)-1 in a series expansion about the pole.
     
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