- #1
naggy
- 60
- 0
I'm puzzled by one thing concerning Laurent series.
If I have a series, for example f(z) =(z*sinz)/(2z-1) and I'm supposed to make a laurent series of f about the point z=1/2.
Now, what would the inner and outer radius of convergence be?
I would say that since z=1/2 is a pole, the inner radius is zero and the outer radius infinite?
If not, then how can I see the radius of convergence of a Laurent series?
If I have a series, for example f(z) =(z*sinz)/(2z-1) and I'm supposed to make a laurent series of f about the point z=1/2.
Now, what would the inner and outer radius of convergence be?
I would say that since z=1/2 is a pole, the inner radius is zero and the outer radius infinite?
If not, then how can I see the radius of convergence of a Laurent series?