If $f$ is holomorphic on $0<|z|<2$ and satisfies $ f(\frac{1}{n}) = n^2 $ and $ f(-\frac{1}{n}) = n^3 $ what kind of singularity does f have at 0?
Well at least is not removable since it's not bounded. But I don't know how to continue.
If $f$ is holomorphic on $0<|z|<2$ and satisfies $ f(\frac{1}{n}) = n^2 $ and $ f(-\frac{1}{n}) = n^3 $ what kind of singularity does f have at 0?
Well at least is not removable since it's not bounded. But I don't know how to continue.