- #1
latentcorpse
- 1,444
- 0
Say you have [itex]f(z)=\frac{1}{(z+i)^2(z-i)^2}[/itex]
a past exam question asked me to find and classify the residues of this.
i had to factorise it into this form and then i just said there was a double pole at [itex]z=+i,z=-i[/itex]
now for 5 marks, this doesn't seem like very much work.
is it possible to perform a laurent expansion and then show explicitly that they are poles of order 2 rather than just saying "the power of the brackets is 2 and so it must be of order 2"?
a past exam question asked me to find and classify the residues of this.
i had to factorise it into this form and then i just said there was a double pole at [itex]z=+i,z=-i[/itex]
now for 5 marks, this doesn't seem like very much work.
is it possible to perform a laurent expansion and then show explicitly that they are poles of order 2 rather than just saying "the power of the brackets is 2 and so it must be of order 2"?