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Singularities Complex Analysis

  1. Nov 2, 2014 #1
    1. The problem statement, all variables and given/known data
    Determine the location and type of singularity of f(z) = 1/sin^2(z)

    2. Relevant equations


    3. The attempt at a solution
    I'm not really sure how to calculate this. At this point, we don't have explicit formulae for the coefficients of a Laurent series so I really don't know what to do. Taylor series?

    Any help would be much appreciated. Thanks.
     
  2. jcsd
  3. Nov 2, 2014 #2

    Dick

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    Science Advisor
    Homework Helper

    You could just use the definition. A function 1/f(z) has a singularity at z=a if f(a)=0. If (z-a)^n/f(z-a) has a finite limit as z->a then then the singularity is order n. Where does sin^(z)=0 and what power n do you need?
     
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