Question

how do you show if some function has a pole?

Answer 1

for examaple (z-2)/(z+1)(z-3i)^2

Answer 2

a function will have a pole of order n at \(z_0\) if \((z-z_0)^nf(z)\) is holomorphic at \(z_0\)

Answer 3

so the poles in my examplea z=-1 and 3i?

Answer 4

this one hace pole of order 1 at z=-1, and pole of order 2 at z=3i

Answer 5

thanks. i get it

Answer 6

yw