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    hello there,
    I am studying residues at the moment (and finding residues). I know lots of different methods for finding residues. However, I am a little confused as to finding the poles of complex functions.

    For example, given the function f(z) = [z+1] / [(z+3)*(z-1)^3] , we only consider z = 1 as a pole, and therefore calculate the res(f,1). But why isn't
    z= -3 a pole ?? Isn't there a singularity at z = -3 ????

    If you know anything about residues, I'd be really appreciative of your help!!

    Thank you for your time.
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    You're right, there's a simple pole at -3 with residue 1/32.
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    ahh, thanks bud !!
 
 
 
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Updated: April 11, 2006
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