An \b[<isolated singularity>] at $z_0$ means that some radius $r>0$ has $f$ <holomorphic> on the punctured disk $0<|z-z_0|<r$, while $f$ is not initially defined as a <holomorphic function> at $z_0$. The adjective isolated refers to the absence of other singularities in this punctured neighbourhood; it permits a <removable singularity>.

Solution

Past exam of the algebra, analysis and differential equations II course of the University of Oxford / 2012 / 5 / b / i / Solution

 Solution (source code)